# Wright State University Lake Campus/2016-9/Phy2410/Sample exams

phc20160712T125120

This identifier represents a unique rendition of the course *phc*. It contains 2 versions that are identical except for numerical values and order of questions and answers in test. For more information visit Quizbank. **WARNING: This rendition has been posted on Wikiversity and is therefore available to students.**

### phc:T1:V1[edit | edit source]

1) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =( 1.1a, 1.2a) is βkQ/a^{2}, where β equals

- a) 3.47 x 10
^{-1}unit - b) 4.2 x 10
^{-1}unit - c) 5.09 x 10
^{-1}unit - d) 6.17 x 10
^{-1}unit - e) 7.47 x 10
^{-1}unit

2) A line of charge density λ situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)?

(assuming ) , where :

- a) 2
- b) 9 − s
- c) 2 − s
- d) s − 9
- e) s − 2

3) What is the speed of a transverse wave on a string if the string is 0.58 m long, clamped at both ends, and harmonic number 4 has a frequency of 543 Hz?

- a) 8.86 x 10
^{1}unit - b) 1.07 x 10
^{2}unit - c) 1.3 x 10
^{2}unit - d) 1.57 x 10
^{2}unit - e) 1.91 x 10
^{2}unit

4) A line of charge density λ situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)?

(assuming ) , where :

- a) 2
^{2}+ (9-s)^{2} - b) 7
^{2}+ (2-s)^{2} - c) 2
^{2}+ (7-s)^{2} - d) 9
^{2}+ (7-s)^{2} - e) 9
^{2}+ (2-s)^{2}

5) A cylinder of radius, R, and height H has a uniform charge density of . The height is much less than the radius: H << R. The electric field at the center vanishes. What formula describes the electric field at a distance, z, on axis from the center if z < H/2?

- a)e)
- b)b) none of these are correct
- c)c)
- d)d)
- e)

6) A line of charge density λ situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)?

(assuming ) , where :

- a) 2
- b) 4
- c) 1/2
- d) 8

7) A line of charge density λ situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)?

(assuming ) , where

- a) 3
- b) s−7
- c) 3−s
- d) s−3
- e) 7−s

8) A sphere has a uniform charge density of , and a radius equal to R. What formula describes the electric field at a distance r < R?

- a)c) none of these are correct
- b)e)
- c)b)
- d)d)
- e)

9) A cylinder of radius, R, and height H has a uniform charge density of . The height is much less than the radius: H << R. The electric field at the center vanishes. What formula describes the electric field at a distance, z, on axis from the center if z > H/2?

- a)b)
- b)
- c)c)
- d)e)
- e)d) none of these are correct

10) What is the magnitude of the electric field at the origin if a 3 nC charge is placed at x = 5.1 m, and a 2 nC charge is placed at y = 8.6 m?

- a) 7.99 x 10
^{-1}N/C - b) 9.22 x 10
^{-1}N/C - c) 1.07 x 10
^{0}N/C - d) 1.23 x 10
^{0}N/C - e) 1.42 x 10
^{0}N/C

11) Integrate the line integral of, , along the y axis from y = 7 to y = 16

- a) 7.86E+04
- b) 8.41E+04
- c) 9.00E+04
- d) 9.63E+04
- e) 1.03E+05

12) A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)?

(assuming ) , where :

- a) 1/2
- b) 3/2
- c) 2/3
- d) 2
- e) 3

13) A line of charge density λ situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)?

(assuming ) , where :

- a) s−8
- b) s−4
- c) 4−s
- d) 8−s
- e) 4

#### KEY:phc:T1:V1[edit | edit source]

phc20160712T125120

1) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =( 1.1a, 1.2a) is βkQ/a^{2}, where β equals

- -a) 2.86 x 10
^{-1} - +b) 3.47 x 10
^{-1} - -c) 4.2 x 10
^{-1} - -d) 5.09 x 10
^{-1} - -e) 6.17 x 10
^{-1}

2) A line of charge density λ situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)?

(assuming ) , where :

- -a) s − 9
- -b) 2 − s
- -c) s − 2
- -d) 2
- +e) 9 − s

3) What is the speed of a transverse wave on a string if the string is 0.58 m long, clamped at both ends, and harmonic number 4 has a frequency of 543 Hz?

- -a) 8.86 x 10
^{1}unit - -b) 1.07 x 10
^{2}unit - -c) 1.3 x 10
^{2}unit - +d) 1.57 x 10
^{2}unit - -e) 1.91 x 10
^{2}unit

4) A line of charge density λ situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)?

(assuming ) , where :

- -a) 7
^{2}+ (2-s)^{2} - +b) 2
^{2}+ (9-s)^{2} - -c) 9
^{2}+ (7-s)^{2} - -d) 2
^{2}+ (7-s)^{2} - -e) 9
^{2}+ (2-s)^{2}

5) A cylinder of radius, R, and height H has a uniform charge density of . The height is much less than the radius: H << R. The electric field at the center vanishes. What formula describes the electric field at a distance, z, on axis from the center if z < H/2?

- -a)
- -b)b) none of these are correct
- -c)d)
- -d)e)
- +e)c)

6) A line of charge density λ situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)?

(assuming ) , where :

- +a) 4
- -b) 8
- -c) 2
- -d) 1/2

7) A line of charge density λ situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)?

(assuming ) , where

- +a) 7−s
- -b) s−3
- -c) 3
- -d) s−7
- -e) 3−s

8) A sphere has a uniform charge density of , and a radius equal to R. What formula describes the electric field at a distance r < R?

- -a)
- +b)d)
- -c)c) none of these are correct
- -d)b)
- -e)e)

9) A cylinder of radius, R, and height H has a uniform charge density of . The height is much less than the radius: H << R. The electric field at the center vanishes. What formula describes the electric field at a distance, z, on axis from the center if z > H/2?

- +a)e)
- -b)
- -c)d) none of these are correct
- -d)b)
- -e)c)

10) What is the magnitude of the electric field at the origin if a 3 nC charge is placed at x = 5.1 m, and a 2 nC charge is placed at y = 8.6 m?

- -a) 7.99 x 10
^{-1}N/C - -b) 9.22 x 10
^{-1}N/C - +c) 1.07 x 10
^{0}N/C - -d) 1.23 x 10
^{0}N/C - -e) 1.42 x 10
^{0}N/C

11) Integrate the line integral of, , along the y axis from y = 7 to y = 16

- - a) 7.86E+04
- - b) 8.41E+04
- - c) 9.00E+04
- + d) 9.63E+04
- - e) 1.03E+05

12) A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)?

(assuming ) , where :

- -a) 2
- -b) 3
- -c) 1/2
- +d) 3/2
- -e) 2/3

13) A line of charge density λ situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)?

(assuming ) , where :

- -a) 4
- -b) s−8
- -c) s−4
- -d) 4−s
- +e) 8−s

### phc:T1:V2[edit | edit source]

1) A line of charge density λ situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)?

(assuming ) , where :

- a) s − 2
- b) 2
- c) 2 − s
- d) 9 − s
- e) s − 9

2) What is the speed of a transverse wave on a string if the string is 1.05 m long, clamped at both ends, and harmonic number 5 has a frequency of 153 Hz?

- a) 5.3 x 10
^{1}unit - b) 6.43 x 10
^{1}unit - c) 7.79 x 10
^{1}unit - d) 9.43 x 10
^{1}unit - e) 1.14 x 10
^{2}unit

3) Integrate the line integral of, , along the y axis from y = 3 to y = 18

- a) 1.69E+05
- b) 1.81E+05
- c) 1.94E+05
- d) 2.08E+05
- e) 2.22E+05

4) A sphere has a uniform charge density of , and a radius equal to R. What formula describes the electric field at a distance r < R?

- a)b)
- b)d)
- c)e)
- d)c) none of these are correct
- e)

5) A line of charge density λ situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)?

(assuming ) , where :

- a) 4
- b) 2
- c) 1/2
- d) 8

6) A cylinder of radius, R, and height H has a uniform charge density of . The height is much less than the radius: H << R. The electric field at the center vanishes. What formula describes the electric field at a distance, z, on axis from the center if z < H/2?

- a)c)
- b)d)
- c)
- d)b) none of these are correct
- e)e)

7) What is the magnitude of the electric field at the origin if a 3.1 nC charge is placed at x = 6.2 m, and a 2.6 nC charge is placed at y = 6 m?

- a) 5.47 x 10
^{-1}N/C - b) 6.32 x 10
^{-1}N/C - c) 7.3 x 10
^{-1}N/C - d) 8.43 x 10
^{-1}N/C - e) 9.73 x 10
^{-1}N/C

8) A line of charge density λ situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)?

(assuming ) , where :

- a) s−4
- b) 4−s
- c) s−8
- d) 4
- e) 8−s

9) A cylinder of radius, R, and height H has a uniform charge density of . The height is much less than the radius: H << R. The electric field at the center vanishes. What formula describes the electric field at a distance, z, on axis from the center if z > H/2?

- a)d) none of these are correct
- b)e)
- c)c)
- d)b)
- e)

10) A line of charge density λ situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)?

(assuming ) , where :

- a) 9
^{2}+ (2-s)^{2} - b) 7
^{2}+ (2-s)^{2} - c) 2
^{2}+ (9-s)^{2} - d) 9
^{2}+ (7-s)^{2} - e) 2
^{2}+ (7-s)^{2}

11) A line of charge density λ situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)?

(assuming ) , where

- a) 7−s
- b) 3−s
- c) 3
- d) s−3
- e) s−7

12) A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)?

(assuming ) , where :

- a) 2/3
- b) 1/2
- c) 3
- d) 2
- e) 3/2

13) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =( 1.1a, 1.2a) is βkQ/a^{2}, where β equals

- a) 1.61 x 10
^{-1}unit - b) 1.95 x 10
^{-1}unit - c) 2.36 x 10
^{-1}unit - d) 2.86 x 10
^{-1}unit - e) 3.47 x 10
^{-1}unit

#### KEY:phc:T1:V2[edit | edit source]

phc20160712T125120

1) A line of charge density λ situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)?

(assuming ) , where :

- -a) 2
- -b) s − 2
- +c) 9 − s
- -d) 2 − s
- -e) s − 9

2) What is the speed of a transverse wave on a string if the string is 0.58 m long, clamped at both ends, and harmonic number 4 has a frequency of 543 Hz?

- -a) 8.86 x 10
^{1}unit - -b) 1.07 x 10
^{2}unit - -c) 1.3 x 10
^{2}unit - +d) 1.57 x 10
^{2}unit - -e) 1.91 x 10
^{2}unit

3) Integrate the line integral of, , along the y axis from y = 6 to y = 13

- - a) 4.45E+04
- - b) 4.76E+04
- - c) 5.10E+04
- + d) 5.45E+04
- - e) 5.83E+04

4) A sphere has a uniform charge density of , and a radius equal to R. What formula describes the electric field at a distance r < R?

- +a)d)
- -b)
- -c)e)
- -d)b)
- -e)c) none of these are correct

5) A line of charge density λ situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)?

(assuming ) , where :

- -a) 2
- -b) 1/2
- -c) 8
- +d) 4

6) A cylinder of radius, R, and height H has a uniform charge density of . The height is much less than the radius: H << R. The electric field at the center vanishes. What formula describes the electric field at a distance, z, on axis from the center if z < H/2?

- -a)e)
- -b)
- -c)d)
- -d)b) none of these are correct
- +e)c)

7) What is the magnitude of the electric field at the origin if a 2.5 nC charge is placed at x = 5.3 m, and a 1.9 nC charge is placed at y = 5.6 m?

- -a) 7.26 x 10
^{-1}N/C - -b) 8.38 x 10
^{-1}N/C - +c) 9.68 x 10
^{-1}N/C - -d) 1.12 x 10
^{0}N/C - -e) 1.29 x 10
^{0}N/C

8) A line of charge density λ situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)?

(assuming ) , where :

- +a) 8−s
- -b) 4−s
- -c) s−4
- -d) s−8
- -e) 4

- +a)e)
- -b)c)
- -c)b)
- -d)
- -e)d) none of these are correct

10) A line of charge density λ situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)?

(assuming ) , where :

- -a) 2
^{2}+ (7-s)^{2} - +b) 2
^{2}+ (9-s)^{2} - -c) 9
^{2}+ (7-s)^{2} - -d) 9
^{2}+ (2-s)^{2} - -e) 7
^{2}+ (2-s)^{2}

11) A line of charge density λ situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)?

(assuming ) , where

- +a) 7−s
- -b) s−7
- -c) s−3
- -d) 3
- -e) 3−s

(assuming ) , where :

- -a) 3
- +b) 3/2
- -c) 1/2
- -d) 2
- -e) 2/3

13) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =( 1.1a, 1.2a) is βkQ/a^{2}, where β equals

- -a) 1.61 x 10
^{-1}unit - -b) 1.95 x 10
^{-1}unit - -c) 2.36 x 10
^{-1}unit - -d) 2.86 x 10
^{-1}unit - +e) 3.47 x 10
^{-1}unit

### phc:T2:V1[edit | edit source]

1) A 8.1 ohm resistor is connected in series to a pair of 5.2 ohm resistors that are in parallel. What is the net resistance?

- a) 6.1 ohms.
- b) 7 ohms.
- c) 8.1 ohms.
- d) 9.3 ohms.
- e) 10.7 ohms.

- a) and .
- b) and .
- c) and .
- d) and .

3) The diameter of a copper wire is 9.2 mm, and it carries a current of 64 amps. What is the drift velocity if copper has a density of 8.8E3 kg/m^{3} and an atomic mass of 63.54 g/mol? (1 mol = 6.02E23 atoms, and copper has one free electron per atom.)

- a) 4.91 x 10
^{-5}m/s - b) 5.95 x 10
^{-5}m/s - c) 7.2 x 10
^{-5}m/s - d) 8.73 x 10
^{-5}m/s - e) 1.06 x 10
^{-4}m/s

4) A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?}

- a) .
- b) .
- c) .
- d) .

5) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

- a) 0.91 J.
- b) 1.05 J.
- c) 1.21 J.
- d) 1.39 J.
- e) 1.6 J.

6) A proton is accellerated (at rest) from a plate held at 39.7 volts to a plate at zero volts. What is the final speed?

- a) 3.9 x 10
^{4}m/s. - b) 5.8 x 10
^{4}m/s. - c) 8.7 x 10
^{4}m/s. - d) 1.3 x 10
^{5}m/s. - e) 2 x 10
^{5}m/s.

7) Two identical resistors are connected in series. The voltage across both of them is 250 volts. What is the voltage across each one?}

- a) and .
- b) and .
- c) and .
- d) None of these are true.

8) Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?}

- a) It's an Electrical
*Cliche*. - b) None these are correct
- c) The other point could be Negative or positive.
- d) Voltage is a measure of Electric Potential difference between two electrical points.

9) Three 1 ohm resistors are connected in parallel. What is the total resistance?}

- a) .
- b) .
- c) .
- d) .

10) A 3.1 volt battery moves 52 Coulombs of charge in 1.7 hours. What is the power?

- a) 1.79 x 10
^{-2}W - b) 2.17 x 10
^{-2}W - c) 2.63 x 10
^{-2}W - d) 3.19 x 10
^{-2}W - e) 3.87 x 10
^{-2}W

11) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the force between the plates if they are 0.7 mm apart?

- a) 1826 N.
- b) 2099 N.
- c) 2414 N.
- d) 2776 N.
- e) 3193 N.

12) An ideal 7.4 volt battery is connected to a 0.074 ohm resistor. To measure the current an ammeter with a resistance of 12 is used. What current does the ammeter actually read?

- a) 49.2 A.
- b) 56.6 A.
- c) 65.1 A.
- d) 74.8 A.
- e) 86 A.

13) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as,

Let be the outward unit normal to this cylinder and evaluate ,

over the entire surface of the cylinder.

- a) 3.96E+02
- b) 4.79E+02
- c) 5.81E+02
- d) 7.04E+02
- e) 8.53E+02

14) A resistor is on for 5 seconds. It consumes power at a rate of 5 watts. How many joules are used?}

- a) 3 Joules
- b) None of these are true
- c) 5 Joules
- d) 25 Joules

#### KEY:phc:T2:V1[edit | edit source]

phc20160712T125120

1) A 5.6 ohm resistor is connected in series to a pair of 7.2 ohm resistors that are in parallel. What is the net resistance?

- -a) 7 ohms.
- -b) 8 ohms.
- +c) 9.2 ohms.
- -d) 10.6 ohms.
- -e) 12.2 ohms.

- -a) and .
- -b) and .
- -c) and .
- +d) and .

3) The diameter of a copper wire is 3.6 mm, and it carries a current of 52 amps. What is the drift velocity if copper has a density of 8.8E3 kg/m^{3} and an atomic mass of 63.54 g/mol? (1 mol = 6.02E23 atoms, and copper has one free electron per atom.)

- +a) 3.82 x 10
^{-4}m/s - -b) 4.63 x 10
^{-4}m/s - -c) 5.61 x 10
^{-4}m/s - -d) 6.8 x 10
^{-4}m/s - -e) 8.24 x 10
^{-4}m/s

4) A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?}

- +a) .
- -b) .
- -c) .
- -d) .

5) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

- -a) 2.23 J.
- +b) 2.56 J.
- -c) 2.94 J.
- -d) 3.39 J.
- -e) 3.89 J.

6) A proton is accellerated (at rest) from a plate held at 588.2 volts to a plate at zero volts. What is the final speed?

- -a) 6.6 x 10
^{4}m/s. - -b) 10 x 10
^{4}m/s. - -c) 1.5 x 10
^{5}m/s. - -d) 2.2 x 10
^{5}m/s. - +e) 3.4 x 10
^{5}m/s.

7) Two identical resistors are connected in series. The voltage across both of them is 250 volts. What is the voltage across each one?}

- -a) None of these are true.
- +b) and .
- -c) and .
- -d) and .

8) Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?}

- -a) None these are correct
- -b) It's an Electrical
*Cliche*. - -c) The other point could be Negative or positive.
- +d) Voltage is a measure of Electric Potential difference between two electrical points.

9) Three 1 ohm resistors are connected in parallel. What is the total resistance?}

- -a) .
- -b) .
- -c) .
- +d) .

10) A 3.1 volt battery moves 52 Coulombs of charge in 1.7 hours. What is the power?

- -a) 1.79 x 10
^{-2}W - -b) 2.17 x 10
^{-2}W - +c) 2.63 x 10
^{-2}W - -d) 3.19 x 10
^{-2}W - -e) 3.87 x 10
^{-2}W

11) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the force between the plates if they are 0.5 mm apart?

- -a) 2065 N.
- -b) 2375 N.
- -c) 2732 N.
- -d) 3141 N.
- +e) 3613 N.

12) An ideal 7.5 volt battery is connected to a 0.084 ohm resistor. To measure the current an ammeter with a resistance of 14 is used. What current does the ammeter actually read?

- -a) 43.8 A.
- -b) 50.3 A.
- -c) 57.9 A.
- -d) 66.5 A.
- +e) 76.5 A.

13) A cylinder of radius, r=3, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as,

Let be the outward unit normal to this cylinder and evaluate ,

over the entire surface of the cylinder.

- -a) 1.50E+04
- +b) 1.82E+04
- -c) 2.20E+04
- -d) 2.66E+04
- -e) 3.23E+04

14) A resistor is on for 5 seconds. It consumes power at a rate of 5 watts. How many joules are used?}

- +a) 25 Joules
- -b) None of these are true
- -c) 3 Joules
- -d) 5 Joules

### phc:T2:V2[edit | edit source]

1) Two identical resistors are connected in series. The voltage across both of them is 250 volts. What is the voltage across each one?}

- a) None of these are true.
- b) and .
- c) and .
- d) and .

2) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

- a) 0.81 J.
- b) 0.93 J.
- c) 1.07 J.
- d) 1.23 J.
- e) 1.41 J.

3) A 5.8 ohm resistor is connected in series to a pair of 2.8 ohm resistors that are in parallel. What is the net resistance?

- a) 7.2 ohms.
- b) 8.3 ohms.
- c) 9.5 ohms.
- d) 11 ohms.
- e) 12.6 ohms.

4) A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?}

- a) .
- b) .
- c) .
- d) .

5) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.7 mm apart?

- a) 3180 N.
- b) 3657 N.
- c) 4206 N.
- d) 4837 N.
- e) 5562 N.

6) A proton is accellerated (at rest) from a plate held at 767.8 volts to a plate at zero volts. What is the final speed?

- a) 1.1 x 10
^{5}m/s. - b) 1.7 x 10
^{5}m/s. - c) 2.6 x 10
^{5}m/s. - d) 3.8 x 10
^{5}m/s. - e) 5.8 x 10
^{5}m/s.

7) An ideal 7.3 volt battery is connected to a 0.071 ohm resistor. To measure the current an ammeter with a resistance of 27 is used. What current does the ammeter actually read?

- a) 49 A.
- b) 56.3 A.
- c) 64.8 A.
- d) 74.5 A.
- e) 85.7 A.

8) A 3.1 volt battery moves 40 Coulombs of charge in 0.9 hours. What is the power?

- a) 2.61 x 10
^{-2}W - b) 3.16 x 10
^{-2}W - c) 3.83 x 10
^{-2}W - d) 4.64 x 10
^{-2}W - e) 5.62 x 10
^{-2}W

9) Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?}

- a) Voltage is a measure of Electric Potential difference between two electrical points.
- b) It's an Electrical
*Cliche*. - c) The other point could be Negative or positive.
- d) None these are correct

- a) and .
- b) and .
- c) and .
- d) and .

11) A resistor is on for 5 seconds. It consumes power at a rate of 5 watts. How many joules are used?}

- a) None of these are true
- b) 5 Joules
- c) 3 Joules
- d) 25 Joules

12) Three 1 ohm resistors are connected in parallel. What is the total resistance?}

- a) .
- b) .
- c) .
- d) .

13) The diameter of a copper wire is 8.7 mm, and it carries a current of 22 amps. What is the drift velocity if copper has a density of 8.8E3 kg/m^{3} and an atomic mass of 63.54 g/mol? (1 mol = 6.02E23 atoms, and copper has one free electron per atom.)

- a) 2.77 x 10
^{-5}m/s - b) 3.36 x 10
^{-5}m/s - c) 4.06 x 10
^{-5}m/s - d) 4.92 x 10
^{-5}m/s - e) 5.97 x 10
^{-5}m/s

14) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as,

Let be the outward unit normal to this cylinder and evaluate ,

over the entire surface of the cylinder.

- a) 1.13E+03
- b) 1.37E+03
- c) 1.66E+03
- d) 2.01E+03
- e) 2.44E+03

#### KEY:phc:T2:V2[edit | edit source]

phc20160712T125120

1) Two identical resistors are connected in series. The voltage across both of them is 250 volts. What is the voltage across each one?}

- +a) and .
- -b) and .
- -c) None of these are true.
- -d) and .

2) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

- -a) 0.91 J.
- -b) 1.05 J.
- -c) 1.21 J.
- +d) 1.39 J.
- -e) 1.6 J.

3) A 6.6 ohm resistor is connected in series to a pair of 6.4 ohm resistors that are in parallel. What is the net resistance?

- -a) 6.4 ohms.
- -b) 7.4 ohms.
- -c) 8.5 ohms.
- +d) 9.8 ohms.
- -e) 11.3 ohms.

4) A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?}

- +a) .
- -b) .
- -c) .
- -d) .

5) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.7 mm apart?

- -a) 3180 N.
- +b) 3657 N.
- -c) 4206 N.
- -d) 4837 N.
- -e) 5562 N.

6) A proton is accellerated (at rest) from a plate held at 4.7 volts to a plate at zero volts. What is the final speed?

- -a) 5.9 x 10
^{3}m/s. - -b) 8.9 x 10
^{3}m/s. - -c) 1.3 x 10
^{4}m/s. - -d) 2 x 10
^{4}m/s. - +e) 3 x 10
^{4}m/s.

7) An ideal 6 volt battery is connected to a 0.06 ohm resistor. To measure the current an ammeter with a resistance of 25 is used. What current does the ammeter actually read?

- +a) 70.6 A.
- -b) 81.2 A.
- -c) 93.4 A.
- -d) 107.4 A.
- -e) 123.5 A.

8) A 3.9 volt battery moves 90 Coulombs of charge in 2.2 hours. What is the power?

- +a) 4.43 x 10
^{-2}W - -b) 5.37 x 10
^{-2}W - -c) 6.51 x 10
^{-2}W - -d) 7.88 x 10
^{-2}W - -e) 9.55 x 10
^{-2}W

9) Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?}

- +a) Voltage is a measure of Electric Potential difference between two electrical points.
- -b) The other point could be Negative or positive.
- -c) It's an Electrical
*Cliche*. - -d) None these are correct

- -a) and .
- -b) and .
- -c) and .
- +d) and .

11) A resistor is on for 5 seconds. It consumes power at a rate of 5 watts. How many joules are used?}

- -a) 3 Joules
- +b) 25 Joules
- -c) None of these are true
- -d) 5 Joules

12) Three 1 ohm resistors are connected in parallel. What is the total resistance?}

- -a) .
- -b) .
- +c) .
- -d) .

13) The diameter of a copper wire is 1.9 mm, and it carries a current of 33 amps. What is the drift velocity if copper has a density of 8.8E3 kg/m^{3} and an atomic mass of 63.54 g/mol? (1 mol = 6.02E23 atoms, and copper has one free electron per atom.)

- -a) 5.93 x 10
^{-4}m/s - -b) 7.19 x 10
^{-4}m/s - +c) 8.71 x 10
^{-4}m/s - -d) 1.06 x 10
^{-3}m/s - -e) 1.28 x 10
^{-3}m/s

14) A cylinder of radius, r=3, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as,

Let be the outward unit normal to this cylinder and evaluate ,

over the entire surface of the cylinder.

- -a) 4.63E+03
- +b) 5.61E+03
- -c) 6.79E+03
- -d) 8.23E+03
- -e) 9.97E+03

### phc:T3:V1[edit | edit source]

1) Two orbiting satellites are orbiting at a speed of 83 km/s perpendicular to a magnetic field of 57 μT. They are connected by a cable that is 23 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

- a) 8.98 x 10
^{4}volts. - b) 1.09 x 10
^{5}volts. - c) 1.32 x 10
^{5}volts. - d) 1.6 x 10
^{5}volts. - e) 1.93 x 10
^{5}volts.

2) A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?}

- a) 2.2W
- b) 24W
- c) 8W
- d) 3W

3) A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)?

(assuming ) , where :

- a) 5−s
- b) s−4
- c) s−1
- d) 5
- e) 1−s

4) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

5) When light passes from glass to air

- a) it does not bend
- b) the frequency decreases
- c) the frequency increases
- d) it bends away from the normal
- e) it bends towards the normal

6) The focal point is where

- a) the center of the lens
- b) rays meet whenever they pass through a lens
- c) rays meet whenever they are forming an image
- d) rays meet if they are parallel to each other
- e) rays meet if they were parallel to the optical axis before striking a lens

7) An object is placed 3.55 cm to the left of a converging lens with a focal length of 6.8 cm. How far is the image from the lens?

- a) 4.18 x 10
^{0}cm - b) 7.43 x 10
^{0}cm - c) 1.32 x 10
^{1}cm - d) 2.35 x 10
^{1}cm - e) 4.18 x 10
^{1}cm

8) An important principle that allows fiber optics to work is

- a) total external refraction
- b) the invariance of the speed of light
- c) partial internal absorption
- d) the Doppler shift
- e) total internal reflection

9) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

10) An object of height 0.67 cm is placed 107 cm behind a diverging lens with a focal length of 70 cm. What is the height of the image?

- a) 2.65 x 10
^{-1}cm - b) 3.18 x 10
^{-1}cm - c) 3.82 x 10
^{-1}cm - d) 4.58 x 10
^{-1}cm - e) 5.49 x 10
^{-1}cm

- a) how a farsighted person might see an object that is too close for comfort
- b) how a farsighted person might see a distant object
- c) how a nearsighted person might see an object that is too close for comfort
- d) how a nearsighted person might see a distant object

12) A 65 μF capacitor is connected in series to a 414 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e^{4}? (where e =2.7...)

- a) 1.08 x 10
^{1}s. - b) 3.4 x 10
^{1}s. - c) 1.08 x 10
^{2}s. - d) 3.4 x 10
^{2}s. - e) 1.08 x 10
^{3}s.

#### KEY:phc:T3:V1[edit | edit source]

phc20160712T125120

1) Two orbiting satellites are orbiting at a speed of 52 km/s perpendicular to a magnetic field of 41 μT. They are connected by a cable that is 33 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

- -a) 4.79 x 10
^{4}volts. - -b) 5.81 x 10
^{4}volts. - +c) 7.04 x 10
^{4}volts. - -d) 8.52 x 10
^{4}volts. - -e) 1.03 x 10
^{5}volts.

2) A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?}

- -a) 2.2W
- -b) 3W
- -c) 8W
- +d) 24W

3) A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)?

(assuming ) , where :

- -a) s−4
- -b) 5
- -c) s−1
- +d) 1−s
- -e) 5−s

4) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- -a) 5.14 x 10
^{-5}Volts - +b) 1.62 x 10
^{-4}Volts - -c) 5.14 x 10
^{-4}Volts - -d) 1.62 x 10
^{-3}Volts - -e) 5.14 x 10
^{-3}Volts

5) When light passes from glass to air

- +a) it bends away from the normal
- -b) it bends towards the normal
- -c) the frequency decreases
- -d) the frequency increases
- -e) it does not bend

6) The focal point is where

- -a) rays meet whenever they pass through a lens
- -b) rays meet if they are parallel to each other
- -c) rays meet whenever they are forming an image
- +d) rays meet if they were parallel to the optical axis before striking a lens
- -e) the center of the lens

7) An object is placed 4.65 cm to the left of a converging lens with a focal length of 6.2 cm. How far is the image from the lens?

- -a) 1.86 x 10
^{0}cm - -b) 3.31 x 10
^{0}cm - -c) 5.88 x 10
^{0}cm - -d) 1.05 x 10
^{1}cm - +e) 1.86 x 10
^{1}cm

8) An important principle that allows fiber optics to work is

- -a) partial internal absorption
- -b) the Doppler shift
- -c) total external refraction
- -d) the invariance of the speed of light
- +e) total internal reflection

9) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- -a) 1.3 x 10
^{2}m. - -b) 4.1 x 10
^{2}m. - -c) 1.3 x 10
^{3}m. - -d) 4.1 x 10
^{3}m. - +e) 1.3 x 10
^{4}m.

10) An object of height 0.75 cm is placed 147 cm behind a diverging lens with a focal length of 86 cm. What is the height of the image?

- +a) 2.77 x 10
^{-1}cm - -b) 3.32 x 10
^{-1}cm - -c) 3.99 x 10
^{-1}cm - -d) 4.78 x 10
^{-1}cm - -e) 5.74 x 10
^{-1}cm

- -a) how a farsighted person might see a distant object
- -b) how a farsighted person might see an object that is too close for comfort
- -c) how a nearsighted person might see an object that is too close for comfort
- +d) how a nearsighted person might see a distant object

12) A 65 μF capacitor is connected in series to a 414 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e^{4}? (where e =2.7...)

- -a) 1.08 x 10
^{1}s. - -b) 3.4 x 10
^{1}s. - +c) 1.08 x 10
^{2}s. - -d) 3.4 x 10
^{2}s. - -e) 1.08 x 10
^{3}s.

### phc:T3:V2[edit | edit source]

1) The focal point is where

- a) rays meet whenever they pass through a lens
- b) rays meet if they are parallel to each other
- c) the center of the lens
- d) rays meet if they were parallel to the optical axis before striking a lens
- e) rays meet whenever they are forming an image

2) A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?}

- a) 2.2W
- b) 3W
- c) 8W
- d) 24W

3) When light passes from glass to air

- a) it bends towards the normal
- b) it bends away from the normal
- c) the frequency decreases
- d) the frequency increases
- e) it does not bend

4) Two orbiting satellites are orbiting at a speed of 53 km/s perpendicular to a magnetic field of 58 μT. They are connected by a cable that is 29 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

- a) 7.36 x 10
^{4}volts. - b) 8.91 x 10
^{4}volts. - c) 1.08 x 10
^{5}volts. - d) 1.31 x 10
^{5}volts. - e) 1.59 x 10
^{5}volts.

5) An important principle that allows fiber optics to work is

- a) total external refraction
- b) the invariance of the speed of light
- c) partial internal absorption
- d) the Doppler shift
- e) total internal reflection

6) An object of height 0.68 cm is placed 140 cm behind a diverging lens with a focal length of 87 cm. What is the height of the image?

- a) 1.26 x 10
^{-1}cm - b) 1.51 x 10
^{-1}cm - c) 1.81 x 10
^{-1}cm - d) 2.17 x 10
^{-1}cm - e) 2.61 x 10
^{-1}cm

7) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- a) 1.3 x 10
^{2}m. - b) 4.1 x 10
^{2}m. - c) 1.3 x 10
^{3}m. - d) 4.1 x 10
^{3}m. - e) 1.3 x 10
^{4}m.

8) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- a) 5.14 x 10
^{-5}Volts - b) 1.62 x 10
^{-4}Volts - c) 5.14 x 10
^{-4}Volts - d) 1.62 x 10
^{-3}Volts - e) 5.14 x 10
^{-3}Volts

- a) how a farsighted person might see a distant object
- b) how a farsighted person might see an object that is too close for comfort
- c) how a nearsighted person might see a distant object
- d) how a nearsighted person might see an object that is too close for comfort

10) An object is placed 4.35 cm to the left of a converging lens with a focal length of 5.7 cm. How far is the image from the lens?

- a) 1.03 x 10
^{1}cm - b) 1.84 x 10
^{1}cm - c) 3.27 x 10
^{1}cm - d) 5.81 x 10
^{1}cm - e) 1.03 x 10
^{2}cm

11) A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)?

(assuming ) , where :

- a) 5−s
- b) s−1
- c) s−4
- d) 5
- e) 1−s

12) A 65 μF capacitor is connected in series to a 414 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e^{4}? (where e =2.7...)

- a) 1.08 x 10
^{1}s. - b) 3.4 x 10
^{1}s. - c) 1.08 x 10
^{2}s. - d) 3.4 x 10
^{2}s. - e) 1.08 x 10
^{3}s.

#### KEY:phc:T3:V2[edit | edit source]

phc20160712T125120

1) The focal point is where

- -a) rays meet whenever they pass through a lens
- +b) rays meet if they were parallel to the optical axis before striking a lens
- -c) rays meet whenever they are forming an image
- -d) rays meet if they are parallel to each other
- -e) the center of the lens

2) A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?}

- -a) 8W
- +b) 24W
- -c) 3W
- -d) 2.2W

3) When light passes from glass to air

- -a) it bends towards the normal
- +b) it bends away from the normal
- -c) the frequency decreases
- -d) it does not bend
- -e) the frequency increases

4) Two orbiting satellites are orbiting at a speed of 66 km/s perpendicular to a magnetic field of 64 μT. They are connected by a cable that is 37 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

- -a) 1.29 x 10
^{5}volts. - +b) 1.56 x 10
^{5}volts. - -c) 1.89 x 10
^{5}volts. - -d) 2.29 x 10
^{5}volts. - -e) 2.78 x 10
^{5}volts.

5) An important principle that allows fiber optics to work is

- -a) partial internal absorption
- -b) the Doppler shift
- -c) total external refraction
- +d) total internal reflection
- -e) the invariance of the speed of light

6) An object of height 0.68 cm is placed 140 cm behind a diverging lens with a focal length of 87 cm. What is the height of the image?

- -a) 1.26 x 10
^{-1}cm - -b) 1.51 x 10
^{-1}cm - -c) 1.81 x 10
^{-1}cm - -d) 2.17 x 10
^{-1}cm - +e) 2.61 x 10
^{-1}cm

7) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

- -a) 1.3 x 10
^{2}m. - -b) 4.1 x 10
^{2}m. - -c) 1.3 x 10
^{3}m. - -d) 4.1 x 10
^{3}m. - +e) 1.3 x 10
^{4}m.

8) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

- -a) 5.14 x 10
^{-5}Volts - +b) 1.62 x 10
^{-4}Volts - -c) 5.14 x 10
^{-4}Volts - -d) 1.62 x 10
^{-3}Volts - -e) 5.14 x 10
^{-3}Volts

- +a) how a nearsighted person might see a distant object
- -b) how a farsighted person might see an object that is too close for comfort
- -c) how a nearsighted person might see an object that is too close for comfort
- -d) how a farsighted person might see a distant object

10) An object is placed 4.35 cm to the left of a converging lens with a focal length of 5.7 cm. How far is the image from the lens?

- -a) 1.03 x 10
^{1}cm - +b) 1.84 x 10
^{1}cm - -c) 3.27 x 10
^{1}cm - -d) 5.81 x 10
^{1}cm - -e) 1.03 x 10
^{2}cm

11) A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)?

(assuming ) , where :

- -a) 5−s
- -b) s−1
- +c) 1−s
- -d) 5
- -e) s−4

^{4}? (where e =2.7...)

- -a) 1.08 x 10
^{1}s. - -b) 3.4 x 10
^{1}s. - +c) 1.08 x 10
^{2}s. - -d) 3.4 x 10
^{2}s. - -e) 1.08 x 10
^{3}s.

### phc:T4:V1[edit | edit source]

1) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 59A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.2) to the point (7.2,7.2).

- a) 7.38E+00 amps
- b) 8.09E+00 amps
- c) 8.87E+00 amps
- d) 9.72E+00 amps
- e) 1.07E+01 amps

3) If , where is magnetic field, what is at the point (6.1539,7.7549) if a current of 6.9A flows through a wire that runs along the z axis?

- a) 5.23E-02 A/m
- b) 5.74E-02 A/m
- c) 6.29E-02 A/m
- d) 6.90E-02 A/m
- e) 7.56E-02 A/m

4) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 33A passes along the z-axis. Use symmetry to find the integral, , from the point (-6.6, 6.6) to the point (6.6, 6.6).

- a) 5.71E+00 amps
- b) 6.26E+00 amps
- c) 6.86E+00 amps
- d) 7.52E+00 amps
- e) 8.25E+00 amps

5) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =( 1.1a, 1.2a) is βkQ/a^{2}, where β equals

- a) 2.86 x 10
^{-1}unit - b) 3.47 x 10
^{-1}unit - c) 4.2 x 10
^{-1}unit - d) 5.09 x 10
^{-1}unit - e) 6.17 x 10
^{-1}unit

6) A very long and thin solenoid has 1295 turns and is 138 meters long. The wire carrys a current of 8.1A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 22 meters from the center and stops 90 meters from the center?

- a) 2.97E+03 A
- b) 3.26E+03 A
- c) 3.57E+03 A
- d) 3.92E+03 A
- e) 4.30E+03 A

7) If this represents the eye looking at an object, where is this object?

- a) very far away
- b) directly in front of the eye (almost touching)
- c) at infinity
- d) Two (of the other answers) are true
- e) One focal length in front of the eye

8) An object of height 0.7 cm is placed 117 cm behind a diverging lens with a focal length of 70 cm. What is the height of the image?

- a) 2.62 x 10
^{-1}cm - b) 3.14 x 10
^{-1}cm - c) 3.77 x 10
^{-1}cm - d) 4.53 x 10
^{-1}cm - e) 5.43 x 10
^{-1}cm

9) A very long and thin solenoid has 2066 turns and is 156 meters long. The wire carrys a current of 7.6A. What is the magnetic field in the center?

- a) 8.75E-05 Tesla
- b) 9.59E-05 Tesla
- c) 1.05E-04 Tesla
- d) 1.15E-04 Tesla
- e) 1.26E-04 Tesla

10) What is the sum of 3.4 apples plus 62 apples?

- a) 4.96E+01 apples
- b) 5.44E+01 apples
- c) 5.96E+01 apples
- d) 6.54E+01 apples
- e) 7.17E+01 apples

11) A circlular capactitor of radius 4.2 m has a gap of 18 mm, and a charge of 97 μC. The capacitor is discharged through a 7 kΩ resistor. What is the decay time?

- a) 1.91E-04 s
- b) 2.31E-04 s
- c) 2.80E-04 s
- d) 3.39E-04 s
- e) 4.11E-04 s

12) A circlular capactitor of radius 4.6 m has a gap of 12 mm, and a charge of 55 μC. What is the electric field between the plates?

- a) 6.37E+04 N/C (or V/m)
- b) 7.71E+04 N/C (or V/m)
- c) 9.34E+04 N/C (or V/m)
- d) 1.13E+05 N/C (or V/m)
- e) 1.37E+05 N/C (or V/m)

#### KEY:phc:T4:V1[edit | edit source]

phc20160712T125120

1) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 81A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.9) to the point (7.9,7.9).

- -a) 7.68E+00 amps
- -b) 8.42E+00 amps
- -c) 9.23E+00 amps
- +d) 1.01E+01 amps
- -e) 1.11E+01 amps

3) If , where is magnetic field, what is at the point (1.5944,4.101) if a current of 6.9A flows through a wire that runs along the z axis?

- -a) 6.86E-02 A/m
- -b) 7.52E-02 A/m
- -c) 8.25E-02 A/m
- +d) 9.04E-02 A/m
- -e) 9.92E-02 A/m

4) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 63A passes along the z-axis. Use symmetry to find the integral, , from the point (-9.3, 9.3) to the point (9.3, 9.3).

- -a) 1.19E+01 amps
- -b) 1.31E+01 amps
- -c) 1.44E+01 amps
- +d) 1.58E+01 amps
- -e) 1.73E+01 amps

5) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =( 1.1a, 1.2a) is βkQ/a^{2}, where β equals

- -a) 1.95 x 10
^{-1}unit - -b) 2.36 x 10
^{-1}unit - -c) 2.86 x 10
^{-1}unit - +d) 3.47 x 10
^{-1}unit - -e) 4.2 x 10
^{-1}unit

6) A very long and thin solenoid has 2774 turns and is 154 meters long. The wire carrys a current of 9.1A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 38 meters from the center and stops 94 meters from the center?

- -a) 4.42E+03 A
- -b) 4.85E+03 A
- -c) 5.32E+03 A
- -d) 5.83E+03 A
- +e) 6.39E+03 A

7) If this represents the eye looking at an object, where is this object?

- -a) at infinity
- -b) One focal length in front of the eye
- +c) Two (of the other answers) are true
- -d) directly in front of the eye (almost touching)
- -e) very far away

8) An object of height 0.67 cm is placed 106 cm behind a diverging lens with a focal length of 61 cm. What is the height of the image?

- -a) 1.18 x 10
^{-1}cm - -b) 1.42 x 10
^{-1}cm - -c) 1.7 x 10
^{-1}cm - -d) 2.04 x 10
^{-1}cm - +e) 2.45 x 10
^{-1}cm

9) A very long and thin solenoid has 1070 turns and is 122 meters long. The wire carrys a current of 8.4A. What is the magnetic field in the center?

- -a) 7.02E-05 Tesla
- -b) 7.70E-05 Tesla
- -c) 8.44E-05 Tesla
- +d) 9.26E-05 Tesla
- -e) 1.02E-04 Tesla

_{0}H is the magnetic field, what is H inside the torus, at a point on the xy plane that is 0.81m from the outermost edge of the torus?

- +a) 1.11E+02 amps per meter
- -b) 1.20E+02 amps per meter
- -c) 1.30E+02 amps per meter
- -d) 1.40E+02 amps per meter
- -e) 1.51E+02 amps per meter

11) A circlular capactitor of radius 3.3 m has a gap of 14 mm, and a charge of 43 μC. The capacitor is discharged through a 9 kΩ resistor. What is the decay time?

- +a) 1.95E-04 s
- -b) 2.36E-04 s
- -c) 2.86E-04 s
- -d) 3.46E-04 s
- -e) 4.20E-04 s

12) A circlular capactitor of radius 3.4 m has a gap of 7 mm, and a charge of 95 μC. What is the electric field between the plates?

- -a) 2.44E+05 N/C (or V/m)
- +b) 2.95E+05 N/C (or V/m)
- -c) 3.58E+05 N/C (or V/m)
- -d) 4.34E+05 N/C (or V/m)
- -e) 5.25E+05 N/C (or V/m)

### phc:T4:V2[edit | edit source]

1) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 46A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.9) to the point (7.9,7.9).

- a) 5.24E+00 amps
- b) 5.75E+00 amps
- c) 6.30E+00 amps
- d) 6.91E+00 amps
- e) 7.58E+00 amps

2) What is the sum of 0.8 apples plus 18 apples?

- a) 1.56E+01 apples
- b) 1.71E+01 apples
- c) 1.88E+01 apples
- d) 2.06E+01 apples
- e) 2.26E+01 apples

3) A circlular capactitor of radius 4.1 m has a gap of 11 mm, and a charge of 51 μC. The capacitor is discharged through a 8 kΩ resistor. What is the decay time?

- a) 3.40E-04 s
- b) 4.12E-04 s
- c) 4.99E-04 s
- d) 6.05E-04 s
- e) 7.33E-04 s

5) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 88A passes along the z-axis. Use symmetry to find the integral, , from the point (-8.1, 8.1) to the point (8.1, 8.1).

- a) 2.01E+01 amps
- b) 2.20E+01 amps
- c) 2.41E+01 amps
- d) 2.64E+01 amps
- e) 2.90E+01 amps

6) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =( 1.1a, 1.2a) is βkQ/a^{2}, where β equals

- a) 1.95 x 10
^{-1}unit - b) 2.36 x 10
^{-1}unit - c) 2.86 x 10
^{-1}unit - d) 3.47 x 10
^{-1}unit - e) 4.2 x 10
^{-1}unit

7) A very long and thin solenoid has 1259 turns and is 156 meters long. The wire carrys a current of 8.9A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 35 meters from the center and stops 90 meters from the center?

- a) 2.82E+03 A
- b) 3.09E+03 A
- c) 3.39E+03 A
- d) 3.71E+03 A
- e) 4.07E+03 A

8) An object of height 0.67 cm is placed 107 cm behind a diverging lens with a focal length of 70 cm. What is the height of the image?

- a) 2.65 x 10
^{-1}cm - b) 3.18 x 10
^{-1}cm - c) 3.82 x 10
^{-1}cm - d) 4.58 x 10
^{-1}cm - e) 5.49 x 10
^{-1}cm

9) A circlular capactitor of radius 3.7 m has a gap of 8 mm, and a charge of 89 μC. What is the electric field between the plates?

- a) 1.93E+05 N/C (or V/m)
- b) 2.34E+05 N/C (or V/m)
- c) 2.83E+05 N/C (or V/m)
- d) 3.43E+05 N/C (or V/m)
- e) 4.16E+05 N/C (or V/m)

10) If this represents the eye looking at an object, where is this object?

- a) directly in front of the eye (almost touching)
- b) One focal length in front of the eye
- c) at infinity
- d) Two (of the other answers) are true
- e) very far away

11) A very long and thin solenoid has 1946 turns and is 144 meters long. The wire carrys a current of 9A. What is the magnetic field in the center?

- a) 1.06E-04 Tesla
- b) 1.16E-04 Tesla
- c) 1.27E-04 Tesla
- d) 1.39E-04 Tesla
- e) 1.53E-04 Tesla

12) If , where is magnetic field, what is at the point (8.0883,5.5335) if a current of 9.6A flows through a wire that runs along the z axis?

- a) 8.90E-02 A/m
- b) 9.76E-02 A/m
- c) 1.07E-01 A/m
- d) 1.17E-01 A/m
- e) 1.29E-01 A/m

#### KEY:phc:T4:V2[edit | edit source]

phc20160712T125120

1) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 81A passes along the z-axis. Use symmetry to find the integral, , from the point (0,7.9) to the point (7.9,7.9).

- -a) 7.68E+00 amps
- -b) 8.42E+00 amps
- -c) 9.23E+00 amps
- +d) 1.01E+01 amps
- -e) 1.11E+01 amps

_{0}H is the magnetic field, what is H inside the torus, at a point on the xy plane that is 0.81m from the outermost edge of the torus?

- +a) 1.11E+02 amps per meter
- -b) 1.20E+02 amps per meter
- -c) 1.30E+02 amps per meter
- -d) 1.40E+02 amps per meter
- -e) 1.51E+02 amps per meter

3) A circlular capactitor of radius 3.4 m has a gap of 8 mm, and a charge of 64 μC. The capacitor is discharged through a 9 kΩ resistor. What is the decay time?

- +a) 3.62E-04 s
- -b) 4.38E-04 s
- -c) 5.31E-04 s
- -d) 6.43E-04 s
- -e) 7.79E-04 s

5) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, , from the point (-5.7, 5.7) to the point (5.7, 5.7).

- -a) 1.54E+01 amps
- -b) 1.69E+01 amps
- +c) 1.85E+01 amps
- -d) 2.03E+01 amps
- -e) 2.22E+01 amps

6) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =( 1.1a, 1.2a) is βkQ/a^{2}, where β equals

- -a) 1.61 x 10
^{-1}unit - -b) 1.95 x 10
^{-1}unit - -c) 2.36 x 10
^{-1}unit - -d) 2.86 x 10
^{-1}unit - +e) 3.47 x 10
^{-1}unit

7) A very long and thin solenoid has 2219 turns and is 134 meters long. The wire carrys a current of 7.6A. If this solenoid is sufficiently thin, what is the line integral of along an on-axis path that starts 44 meters from the center and stops 86 meters from the center?

- -a) 2.41E+03 A
- -b) 2.64E+03 A
- +c) 2.89E+03 A
- -d) 3.17E+03 A
- -e) 3.48E+03 A

8) An object of height 0.7 cm is placed 117 cm behind a diverging lens with a focal length of 70 cm. What is the height of the image?

- +a) 2.62 x 10
^{-1}cm - -b) 3.14 x 10
^{-1}cm - -c) 3.77 x 10
^{-1}cm - -d) 4.53 x 10
^{-1}cm - -e) 5.43 x 10
^{-1}cm

9) A circlular capactitor of radius 3.3 m has a gap of 14 mm, and a charge of 11 μC. What is the electric field between the plates?

- -a) 2.04E+04 N/C (or V/m)
- -b) 2.47E+04 N/C (or V/m)
- -c) 3.00E+04 N/C (or V/m)
- +d) 3.63E+04 N/C (or V/m)
- -e) 4.40E+04 N/C (or V/m)

10) If this represents the eye looking at an object, where is this object?

- -a) directly in front of the eye (almost touching)
- -b) at infinity
- +c) Two (of the other answers) are true
- -d) One focal length in front of the eye
- -e) very far away

11) A very long and thin solenoid has 1946 turns and is 144 meters long. The wire carrys a current of 9A. What is the magnetic field in the center?

- -a) 1.06E-04 Tesla
- -b) 1.16E-04 Tesla
- -c) 1.27E-04 Tesla
- -d) 1.39E-04 Tesla
- +e) 1.53E-04 Tesla

12) If , where is magnetic field, what is at the point (2.0898,3.6432) if a current of 4.9A flows through a wire that runs along the z axis?

- -a) 6.39E-02 A/m
- -b) 7.01E-02 A/m
- -c) 7.68E-02 A/m
- -d) 8.43E-02 A/m
- +e) 9.24E-02 A/m

### phc:FE:V1[edit | edit source]

1) A cylinder of radius, r=2, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as,

Let be the outward unit normal to this cylinder and evaluate ,

over the top surface of the cylinder.

- a) 2.769E+03
- b) 3.354E+03
- c) 4.064E+03
- d) 4.923E+03
- e) 5.965E+03

2) A power supply delivers 145 watts of power to a 132 ohm resistor. What was the applied voltage?

- a) 6.42 x 10
^{1}volts - b) 7.78 x 10
^{1}volts - c) 9.43 x 10
^{1}volts - d) 1.14 x 10
^{2}volts - e) 1.38 x 10
^{2}volts

3) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =( 4a, 5a) is βkQ/a^{2}, where β equals

- a) 6.11 x 10
^{-4} - b) 7.4 x 10
^{-4} - c) 8.97 x 10
^{-4} - d) 1.09 x 10
^{-3} - e) 1.32 x 10
^{-3}

4) An object is placed 4.85 cm to the left of a converging lens with a focal length of 4 cm. How far is the image from the lens?

- a) 4.06 x 10
^{0}cm - b) 7.22 x 10
^{0}cm - c) 1.28 x 10
^{1}cm - d) 2.28 x 10
^{1}cm - e) 4.06 x 10
^{1}cm

5) What is the sum of 6.6 apples plus 33 apples?

- a) 3.61E+01 apples
- b) 3.96E+01 apples
- c) 4.34E+01 apples
- d) 4.76E+01 apples
- e) 5.22E+01 apples

6) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 86A passes along the z-axis. Use symmetry to find the integral, , from the point (0,5) to the point (5,5).

- a) 7.44E+00 amps
- b) 8.15E+00 amps
- c) 8.94E+00 amps
- d) 9.80E+00 amps
- e) 1.08E+01 amps

7) How fast is a 2648 eV electron moving?

- a) 3.1 x 10
^{7}m/s. - b) 4.6 x 10
^{7}m/s. - c) 6.9 x 10
^{7}m/s. - d) 1 x 10
^{8}m/s. - e) 1.5 x 10
^{8}m/s.

8) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

- a) 1.81 J.
- b) 2.08 J.
- c) 2.39 J.
- d) 2.75 J.
- e) 3.16 J.

9) A line of charge density λ situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)?

(assuming ) , where :

- a) 2
- b) 9 − s
- c) s − 2
- d) 2 − s
- e) s − 9

10) An loop of wire with 31 turns has a radius of 0.9 meters, and is oriented with its axis parallel to a magetic field of 0.83 Tesla. What is the induced voltage if this field is reduced to 35% of its original value in 1.7 seconds?

- a) 2.07 x 10
^{1}volts - b) 2.5 x 10
^{1}volts - c) 3.03 x 10
^{1}volts - d) 3.67 x 10
^{1}volts - e) 4.45 x 10
^{1}volts

11) A circlular capactitor of radius 4.9 m has a gap of 13 mm, and a charge of 35 μC. The capacitor is discharged through a 5 kΩ resistor. What is the decay time?

- a) 2.57E-04 s
- b) 3.11E-04 s
- c) 3.77E-04 s
- d) 4.57E-04 s
- e) 5.53E-04 s

12) Two 6.2 ohm resistors are connected in parallel. This combination is then connected in series to a 2.6 ohm resistor. What is the net resistance?

- a) 3.7 ohms.
- b) 4.3 ohms.
- c) 5 ohms.
- d) 5.7 ohms.
- e) 6.6 ohms.

- a) ; ; ; .
- b) ; ; ; .
- c) ; ; ; .
- d) ; ; ; ..

14) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

15) A cylinder of radius, R, and height H has a uniform charge density of . The height is much greater than the radius: H >> R. The electric field at the center vanishes. What formula describes the electric field at a distance, r, radially from the center if r < R?

- a)
- b)b)
- c)e)
- d)d) none of these are correct
- e)c)

16) A 819 mF capacitor is connected in series to a 798 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e^{4}? (where e =2.7...)

- a) 8.27 x 10
^{5}s. - b) 2.61 x 10
^{6}s. - c) 8.27 x 10
^{6}s. - d) 2.61 x 10
^{7}s. - e) 8.27 x 10
^{7}s.

#### KEY:phc:FE:V1[edit | edit source]

phc20160712T125120

1) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as,

Let be the outward unit normal to this cylinder and evaluate ,

over the top surface of the cylinder.

- -a) 7.933E+02
- +b) 9.611E+02
- -c) 1.164E+03
- -d) 1.411E+03
- -e) 1.709E+03

2) A power supply delivers 145 watts of power to a 132 ohm resistor. What was the applied voltage?

- -a) 6.42 x 10
^{1}volts - -b) 7.78 x 10
^{1}volts - -c) 9.43 x 10
^{1}volts - -d) 1.14 x 10
^{2}volts - +e) 1.38 x 10
^{2}volts

3) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =( 5a, 4a) is βkQ/a^{2}, where β equals

- -a) 1.76 x 10
^{-3}unit - -b) 2.13 x 10
^{-3}unit - -c) 2.59 x 10
^{-3}unit - +d) 3.13 x 10
^{-3}unit - -e) 3.79 x 10
^{-3}unit

4) An object is placed 6.55 cm to the left of a converging lens with a focal length of 5.4 cm. How far is the image from the lens?

- -a) 3.08 x 10
^{0}cm - -b) 5.47 x 10
^{0}cm - -c) 9.73 x 10
^{0}cm - -d) 1.73 x 10
^{1}cm - +e) 3.08 x 10
^{1}cm

_{0}H is the magnetic field, what is H inside the torus, at a point on the xy plane that is 0.54m from the outermost edge of the torus?

- -a) 5.31E+01 amps per meter
- -b) 5.73E+01 amps per meter
- -c) 6.19E+01 amps per meter
- -d) 6.68E+01 amps per meter
- +e) 7.21E+01 amps per meter

6) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 36A passes along the z-axis. Use symmetry to find the integral, , from the point (0,8.6) to the point (8.6,8.6).

- +a) 4.50E+00 amps
- -b) 4.93E+00 amps
- -c) 5.41E+00 amps
- -d) 5.93E+00 amps
- -e) 6.50E+00 amps

7) How fast is a 2952 eV electron moving?

- -a) 6.4 x 10
^{6}m/s. - -b) 9.5 x 10
^{6}m/s. - -c) 1.4 x 10
^{7}m/s. - -d) 2.1 x 10
^{7}m/s. - +e) 3.2 x 10
^{7}m/s.

8) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

- +a) 1.81 J.
- -b) 2.08 J.
- -c) 2.39 J.
- -d) 2.75 J.
- -e) 3.16 J.

9) A line of charge density λ situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)?

(assuming ) , where :

- -a) 2 − s
- -b) s − 2
- +c) 9 − s
- -d) 2
- -e) s − 9

10) An loop of wire with 92 turns has a radius of 0.39 meters, and is oriented with its axis parallel to a magetic field of 0.97 Tesla. What is the induced voltage if this field is reduced to 16% of its original value in 1.4 seconds?

- +a) 2.56 x 10
^{1}volts - -b) 3.1 x 10
^{1}volts - -c) 3.76 x 10
^{1}volts - -d) 4.55 x 10
^{1}volts - -e) 5.51 x 10
^{1}volts

11) A circlular capactitor of radius 3.2 m has a gap of 12 mm, and a charge of 33 μC. The capacitor is discharged through a 6 kΩ resistor. What is the decay time?

- +a) 1.42E-04 s
- -b) 1.73E-04 s
- -c) 2.09E-04 s
- -d) 2.53E-04 s
- -e) 3.07E-04 s

12) Two 6.2 ohm resistors are connected in parallel. This combination is then connected in series to a 2.6 ohm resistor. What is the net resistance?

- -a) 3.7 ohms.
- -b) 4.3 ohms.
- -c) 5 ohms.
- +d) 5.7 ohms.
- -e) 6.6 ohms.

- +a) ; ; ; .
- -b) ; ; ; ..
- -c) ; ; ; .
- -d) ; ; ; .

14) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- -a) 2.36 x 10
^{-3}newtons - -b) 7.47 x 10
^{-3}newtons - -c) 2.36 x 10
^{-2}newtons - +d) 7.47 x 10
^{-2}newtons - -e) 2.36 x 10
^{-1}newtons

15) A cylinder of radius, R, and height H has a uniform charge density of . The height is much greater than the radius: H >> R. The electric field at the center vanishes. What formula describes the electric field at a distance, r, radially from the center if r < R?

- -a)b)
- -b)e)
- -c)d) none of these are correct
- -d)
- +e)c)

16) A 819 mF capacitor is connected in series to a 798 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e^{4}? (where e =2.7...)

- -a) 8.27 x 10
^{5}s. - +b) 2.61 x 10
^{6}s. - -c) 8.27 x 10
^{6}s. - -d) 2.61 x 10
^{7}s. - -e) 8.27 x 10
^{7}s.

### phc:FE:V2[edit | edit source]

1) A power supply delivers 145 watts of power to a 244 ohm resistor. What was the applied voltage?

- a) 1.88 x 10
^{2}volts - b) 2.28 x 10
^{2}volts - c) 2.76 x 10
^{2}volts - d) 3.34 x 10
^{2}volts - e) 4.05 x 10
^{2}volts

2) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- a) 2.36 x 10
^{-3}newtons - b) 7.47 x 10
^{-3}newtons - c) 2.36 x 10
^{-2}newtons - d) 7.47 x 10
^{-2}newtons - e) 2.36 x 10
^{-1}newtons

3) A cylinder of radius, r=3, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as,

Let be the outward unit normal to this cylinder and evaluate ,

over the top surface of the cylinder.

- a) 2.597E+03
- b) 3.147E+03
- c) 3.812E+03
- d) 4.619E+03
- e) 5.596E+03

4) A 819 mF capacitor is connected in series to a 798 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e^{4}? (where e =2.7...)

- a) 8.27 x 10
^{5}s. - b) 2.61 x 10
^{6}s. - c) 8.27 x 10
^{6}s. - d) 2.61 x 10
^{7}s. - e) 8.27 x 10
^{7}s.

5) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =( 6a, 5a) is βkQ/a^{2}, where β equals

- a) 1.09 x 10
^{-3}unit - b) 1.33 x 10
^{-3}unit - c) 1.61 x 10
^{-3}unit - d) 1.95 x 10
^{-3}unit - e) 2.36 x 10
^{-3}unit

6) A circlular capactitor of radius 4.6 m has a gap of 7 mm, and a charge of 18 μC. The capacitor is discharged through a 9 kΩ resistor. What is the decay time?

- a) 6.25E-04 s
- b) 7.57E-04 s
- c) 9.17E-04 s
- d) 1.11E-03 s
- e) 1.35E-03 s

7) How fast is a 2758 eV electron moving?

- a) 9.2 x 10
^{6}m/s. - b) 1.4 x 10
^{7}m/s. - c) 2.1 x 10
^{7}m/s. - d) 3.1 x 10
^{7}m/s. - e) 4.7 x 10
^{7}m/s.

8) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

- a) 1.28 J.
- b) 1.47 J.
- c) 1.69 J.
- d) 1.94 J.
- e) 2.24 J.

9) Two 6.6 ohm resistors are connected in parallel. This combination is then connected in series to a 3.4 ohm resistor. What is the net resistance?

- a) 4.4 ohms.
- b) 5.1 ohms.
- c) 5.8 ohms.
- d) 6.7 ohms.
- e) 7.7 ohms.

10) An object is placed 3.15 cm to the left of a converging lens with a focal length of 6.7 cm. How far is the image from the lens?

- a) 3.34 x 10
^{0}cm - b) 5.95 x 10
^{0}cm - c) 1.06 x 10
^{1}cm - d) 1.88 x 10
^{1}cm - e) 3.34 x 10
^{1}cm

11) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 48A passes along the z-axis. Use symmetry to find the integral, , from the point (0,8.4) to the point (8.4,8.4).

- a) 5.47E+00 amps
- b) 6.00E+00 amps
- c) 6.58E+00 amps
- d) 7.21E+00 amps
- e) 7.91E+00 amps

12) An loop of wire with 31 turns has a radius of 0.9 meters, and is oriented with its axis parallel to a magetic field of 0.83 Tesla. What is the induced voltage if this field is reduced to 35% of its original value in 1.7 seconds?

- a) 2.07 x 10
^{1}volts - b) 2.5 x 10
^{1}volts - c) 3.03 x 10
^{1}volts - d) 3.67 x 10
^{1}volts - e) 4.45 x 10
^{1}volts

13) What is the sum of 7.2 apples plus 9 apples?

- a) 1.62E+01 apples
- b) 1.78E+01 apples
- c) 1.95E+01 apples
- d) 2.14E+01 apples
- e) 2.34E+01 apples

14) A cylinder of radius, R, and height H has a uniform charge density of . The height is much greater than the radius: H >> R. The electric field at the center vanishes. What formula describes the electric field at a distance, r, radially from the center if r < R?

- a)b)
- b)
- c)c)
- d)d) none of these are correct
- e)e)

15) A line of charge density λ situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)?

(assuming ) , where :

- a) 2 − s
- b) 9 − s
- c) s − 9
- d) 2
- e) s − 2

- a) ; ; ; .
- b) ; ; ; ..
- c) ; ; ; .
- d) ; ; ; .

#### KEY:phc:FE:V2[edit | edit source]

phc20160712T125120

1) A power supply delivers 169 watts of power to a 219 ohm resistor. What was the applied voltage?

- -a) 8.93 x 10
^{1}volts - -b) 1.08 x 10
^{2}volts - -c) 1.31 x 10
^{2}volts - -d) 1.59 x 10
^{2}volts - +e) 1.92 x 10
^{2}volts

2) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

- -a) 2.36 x 10
^{-3}newtons - -b) 7.47 x 10
^{-3}newtons - -c) 2.36 x 10
^{-2}newtons - +d) 7.47 x 10
^{-2}newtons - -e) 2.36 x 10
^{-1}newtons

3) A cylinder of radius, r=2, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as,

Let be the outward unit normal to this cylinder and evaluate ,

over the top surface of the cylinder.

- -a) 5.311E+02
- -b) 6.434E+02
- -c) 7.795E+02
- +d) 9.444E+02
- -e) 1.144E+03

4) A 819 mF capacitor is connected in series to a 798 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e^{4}? (where e =2.7...)

- -a) 8.27 x 10
^{5}s. - +b) 2.61 x 10
^{6}s. - -c) 8.27 x 10
^{6}s. - -d) 2.61 x 10
^{7}s. - -e) 8.27 x 10
^{7}s.

5) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =( 6a, 5a) is βkQ/a^{2}, where β equals

- +a) 1.61 x 10
^{-3}unit - -b) 1.95 x 10
^{-3}unit - -c) 2.36 x 10
^{-3}unit - -d) 2.86 x 10
^{-3}unit - -e) 3.46 x 10
^{-3}unit

6) A circlular capactitor of radius 3.2 m has a gap of 8 mm, and a charge of 12 μC. The capacitor is discharged through a 7 kΩ resistor. What is the decay time?

- +a) 2.49E-04 s
- -b) 3.02E-04 s
- -c) 3.66E-04 s
- -d) 4.43E-04 s
- -e) 5.37E-04 s

7) How fast is a 2663 eV electron moving?

- +a) 3.1 x 10
^{7}m/s. - -b) 4.6 x 10
^{7}m/s. - -c) 6.9 x 10
^{7}m/s. - -d) 1 x 10
^{8}m/s. - -e) 1.5 x 10
^{8}m/s.

8) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

- -a) 0.91 J.
- -b) 1.05 J.
- -c) 1.21 J.
- +d) 1.39 J.
- -e) 1.6 J.

9) Two 7.8 ohm resistors are connected in parallel. This combination is then connected in series to a 5.4 ohm resistor. What is the net resistance?

- +a) 9.3 ohms.
- -b) 10.7 ohms.
- -c) 12.3 ohms.
- -d) 14.1 ohms.
- -e) 16.3 ohms.

10) An object is placed 6.55 cm to the left of a converging lens with a focal length of 5.4 cm. How far is the image from the lens?

- -a) 3.08 x 10
^{0}cm - -b) 5.47 x 10
^{0}cm - -c) 9.73 x 10
^{0}cm - -d) 1.73 x 10
^{1}cm - +e) 3.08 x 10
^{1}cm

11) H is defined by, B=μ_{0}H, where B is magnetic field. A current of 36A passes along the z-axis. Use symmetry to find the integral, , from the point (0,8.6) to the point (8.6,8.6).

- +a) 4.50E+00 amps
- -b) 4.93E+00 amps
- -c) 5.41E+00 amps
- -d) 5.93E+00 amps
- -e) 6.50E+00 amps

12) An loop of wire with 33 turns has a radius of 0.55 meters, and is oriented with its axis parallel to a magetic field of 0.74 Tesla. What is the induced voltage if this field is reduced to 32% of its original value in 2.4 seconds?

- -a) 5.43 x 10
^{0}volts - +b) 6.58 x 10
^{0}volts - -c) 7.97 x 10
^{0}volts - -d) 9.65 x 10
^{0}volts - -e) 1.17 x 10
^{1}volts

13) What is the sum of 7.2 apples plus 9 apples?

- +a) 1.62E+01 apples
- -b) 1.78E+01 apples
- -c) 1.95E+01 apples
- -d) 2.14E+01 apples
- -e) 2.34E+01 apples

14) A cylinder of radius, R, and height H has a uniform charge density of . The height is much greater than the radius: H >> R. The electric field at the center vanishes. What formula describes the electric field at a distance, r, radially from the center if r < R?

- -a)d) none of these are correct
- -b)e)
- -c)
- -d)b)
- +e)c)

15) A line of charge density λ situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)?

(assuming ) , where :

- -a) s − 2
- -b) 2 − s
- -c) 2
- -d) s − 9
- +e) 9 − s

- -a) ; ; ; ..
- -b) ; ; ; .
- +c) ; ; ; .
- -d) ; ; ; .