# User:Guy vandegrift/Quizbank/Archive1/Calculus Physics/T3study

## CalcPhysIIT3_Study

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This document contains either a study guide OR pairs of exams taken from the same exam bank
If two exams have the same s-number, then v1 and v2 have the same questions, presented in different (random) order.
Exams with different s-numbers have different questions and may not have the same difficulty.
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At the end of this document
Attribution for the quizzes identifies where the questions were obtained

### CalcPhysIIT3_Study-v1s1

1. An ideal 4.2 V voltage source is connected to two resistors in parallel. One is 1.6${\displaystyle k\Omega }$, and the other is 2.1 ${\displaystyle k\Omega }$. What is the current through the larger resistor?

___a) 0.75 mA.
___b) 0.86 mA.
___c) 0.99 mA.
___d) 1.14 mA.
___e) 1.31 mA.

2. 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.

3. Two 8.2 ohm resistors are connected in parallel. This combination is then connected in series to a 5.8 ohm resistor. What is the net resistance?

___a) 9.9 ohms.
___b) 11.4 ohms.
___c) 13.1 ohms.
___d) 15.1 ohms.
___e) 17.3 ohms.

4. 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${\displaystyle m\Omega }$ 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.

5. A battery has an emf of 6.7 volts, and an internal resistance of 348 ${\displaystyle k\Omega }$. It is connected to a 3.8 ${\displaystyle M\Omega }$ resistor. What power is developed in the 3.8 ${\displaystyle M\Omega }$ resistor?

___a) 9.91 ${\displaystyle \mu }$W.
___b) 11.4 ${\displaystyle \mu }$W.
___c) 13.11 ${\displaystyle \mu }$W.
___d) 15.08 ${\displaystyle \mu }$W.
___e) 17.34 ${\displaystyle \mu }$W.

6. A 621 mF capacitor is connected in series to a 628 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)

___a) 1.17 x 105 s.
___b) 3.7 x 105 s.
___c) 1.17 x 106 s.
___d) 3.7 x 106 s.
___e) 1.17 x 107 s.

7. A 665 μF capacitor is connected in series to a 806 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e2? (where e =2.7...)

___a) 3.39 x 101 s.
___b) 1.07 x 102 s.
___c) 3.39 x 102 s.
___d) 1.07 x 103 s.
___e) 3.39 x 103 s.

8. A 354 mF capacitor is connected in series to a 407 MΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)

___a) 4.32 x 107 s.
___b) 1.37 x 108 s.
___c) 4.32 x 108 s.
___d) 1.37 x 109 s.
___e) 4.32 x 109 s.

9. A 10 F capacitor is connected in series to a 9Ω resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

___a) 3.6 x 102 s.
___b) 1.14 x 103 s.
___c) 3.6 x 103 s.
___d) 1.14 x 104 s.
___e) 3.6 x 104 s.

10. Amphere's law for magnetostatic currents is that ${\displaystyle \oint {\vec {H}}\cdot {\vec {d\ell }}=\int {\vec {J}}\cdot {\vec {dA}}}$ equals the current enclosed by the closed loop, and ${\displaystyle B=\mu _{0}H}$ is the magnetic field. A current of 4.9A flows upward along the z axis. Noting that for this geometry, ${\displaystyle \oint {\vec {B}}\cdot {\vec {d\ell }}=B\oint d\ell }$, calculate the line integral ${\displaystyle \oint d\ell }$ for a circle of radius 4.2m.

___a) 2.00E+01 m
___b) 2.19E+01 m
___c) 2.41E+01 m
___d) 2.64E+01 m
___e) 2.89E+01 m

11. If ${\displaystyle H=B/\mu _{0}}$, where ${\displaystyle B}$ is magnetic field, what is ${\displaystyle H}$ at a distance of 7.9m from a wire carrying a current of 6.8A?

___a) 1.14E-01 A/m
___b) 1.25E-01 A/m
___c) 1.37E-01 A/m
___d) 1.50E-01 A/m
___e) 1.65E-01 A/m

12. If ${\displaystyle H=B/\mu _{0}}$, where ${\displaystyle B}$ is magnetic field, what is ${\displaystyle H_{y}}$ at the point (8.407,2.6006) if a current of 8.6A flows through a wire that runs along the z axis?

___a) 1.13E-01 A/m
___b) 1.24E-01 A/m
___c) 1.36E-01 A/m
___d) 1.49E-01 A/m
___e) 1.63E-01 A/m

13. A very long and thin solenoid has 1656 turns and is 144 meters long. The wire carrys a current of 8.4A. What is the magnetic field in the center?

___a) 8.40E-05 Tesla
___b) 9.21E-05 Tesla
___c) 1.01E-04 Tesla
___d) 1.11E-04 Tesla
___e) 1.21E-04 Tesla

14. 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${\displaystyle \int {\vec {H}}\cdot {\vec {d\ell }}}$ 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

15. What is the sum of 0.2 apples plus 57 apples?

___a) 5.72E+01 apples
___b) 6.27E+01 apples
___c) 6.88E+01 apples
___d) 7.54E+01 apples
___e) 8.27E+01 apples

16. H is defined by, B=μ0H, where B is magnetic field. A current of 92A passes along the z-axis. Use symmetry to find the integral, ${\displaystyle \int {\vec {H}}\cdot {\vec {d\ell }}}$, from the point (0,6.4) to the point (6.4,0).

___a) 2.10E+01 amps
___b) 2.30E+01 amps
___c) 2.52E+01 amps
___d) 2.77E+01 amps
___e) 3.03E+01 amps

17. H is defined by, B=μ0H, where B is magnetic field. A current of 96A passes along the z-axis. Use symmetry to find the integral, ${\displaystyle \int {\vec {H}}\cdot {\vec {d\ell }}}$, from the point (-6.4, 6.4) to the point (6.4, 6.4).

___a) 2.00E+01 amps
___b) 2.19E+01 amps
___c) 2.40E+01 amps
___d) 2.63E+01 amps
___e) 2.89E+01 amps

18. H is defined by, B=μ0H, where B is magnetic field. A current of 88A passes along the z-axis. Use symmetry to find the integral, ${\displaystyle \int {\vec {H}}\cdot {\vec {d\ell }}}$, from the point (0,6.6) to the point (6.6,6.6).

___a) 9.15E+00 amps
___b) 1.00E+01 amps
___c) 1.10E+01 amps
___d) 1.21E+01 amps
___e) 1.32E+01 amps

19. H is defined by, B=μ0H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, ${\displaystyle \int {\vec {H}}\cdot {\vec {d\ell }}}$, from (-∞,9.4) to (+,9.4).

___a) 3.25E+01 amps
___b) 3.57E+01 amps
___c) 3.91E+01 amps
___d) 4.29E+01 amps
___e) 4.70E+01 amps

20. A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 11.4 μT. The kinetic energy is 307 keV. What is the radius of particle's orbit?

___a) 7 x 101 m.
___b) 2.2 x 102 m.
___c) 7 x 102 m.
___d) 2.2 x 103 m.
___e) 7 x 103 m.

21. Two parallel wires are 7.2 meters long, and are separated by 6.9 mm. What is the force if both wires carry a current of 13.7 amps?

___a) 1.24 x 10-2 newtons
___b) 3.92 x 10-2 newtons
___c) 1.24 x 10-1 newtons
___d) 3.92 x 10-1 newtons
___e) 1.24 x 100 newtons

22. 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

23. An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.07c, and Earth's magnetic field makes an angle of 22.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 54 mm apart. What must be the applied voltage if the magnetic field is 45μT?

___a) 2 x 10-1 volts
___b) 6.2 x 10-1 volts
___c) 2 x 100 volts
___d) 6.2 x 100 volts
___e) 2 x 101 volts

#### Key to CalcPhysIIT3_Study-v1s1

1. An ideal 4.2 V voltage source is connected to two resistors in parallel. One is 1.6${\displaystyle k\Omega }$, and the other is 2.1 ${\displaystyle k\Omega }$. What is the current through the larger resistor?

-a) 0.75 mA.
-b) 0.86 mA.
-c) 0.99 mA.
+d) 1.14 mA.
-e) 1.31 mA.

2. 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.

3. Two 8.2 ohm resistors are connected in parallel. This combination is then connected in series to a 5.8 ohm resistor. What is the net resistance?

+a) 9.9 ohms.
-b) 11.4 ohms.
-c) 13.1 ohms.
-d) 15.1 ohms.
-e) 17.3 ohms.

4. 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${\displaystyle m\Omega }$ 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.

5. A battery has an emf of 6.7 volts, and an internal resistance of 348 ${\displaystyle k\Omega }$. It is connected to a 3.8 ${\displaystyle M\Omega }$ resistor. What power is developed in the 3.8 ${\displaystyle M\Omega }$ resistor?

+a) 9.91 ${\displaystyle \mu }$W.
-b) 11.4 ${\displaystyle \mu }$W.
-c) 13.11 ${\displaystyle \mu }$W.
-d) 15.08 ${\displaystyle \mu }$W.
-e) 17.34 ${\displaystyle \mu }$W.

6. A 621 mF capacitor is connected in series to a 628 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)

-a) 1.17 x 105 s.
-b) 3.7 x 105 s.
+c) 1.17 x 106 s.
-d) 3.7 x 106 s.
-e) 1.17 x 107 s.

7. A 665 μF capacitor is connected in series to a 806 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e2? (where e =2.7...)

-a) 3.39 x 101 s.
-b) 1.07 x 102 s.
-c) 3.39 x 102 s.
+d) 1.07 x 103 s.
-e) 3.39 x 103 s.

8. A 354 mF capacitor is connected in series to a 407 MΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)

-a) 4.32 x 107 s.
-b) 1.37 x 108 s.
+c) 4.32 x 108 s.
-d) 1.37 x 109 s.
-e) 4.32 x 109 s.

9. A 10 F capacitor is connected in series to a 9Ω resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

+a) 3.6 x 102 s.
-b) 1.14 x 103 s.
-c) 3.6 x 103 s.
-d) 1.14 x 104 s.
-e) 3.6 x 104 s.

10. Amphere's law for magnetostatic currents is that ${\displaystyle \oint {\vec {H}}\cdot {\vec {d\ell }}=\int {\vec {J}}\cdot {\vec {dA}}}$ equals the current enclosed by the closed loop, and ${\displaystyle B=\mu _{0}H}$ is the magnetic field. A current of 4.9A flows upward along the z axis. Noting that for this geometry, ${\displaystyle \oint {\vec {B}}\cdot {\vec {d\ell }}=B\oint d\ell }$, calculate the line integral ${\displaystyle \oint d\ell }$ for a circle of radius 4.2m.

-a) 2.00E+01 m
-b) 2.19E+01 m
-c) 2.41E+01 m
+d) 2.64E+01 m
-e) 2.89E+01 m

11. If ${\displaystyle H=B/\mu _{0}}$, where ${\displaystyle B}$ is magnetic field, what is ${\displaystyle H}$ at a distance of 7.9m from a wire carrying a current of 6.8A?

-a) 1.14E-01 A/m
-b) 1.25E-01 A/m
+c) 1.37E-01 A/m
-d) 1.50E-01 A/m
-e) 1.65E-01 A/m

12. If ${\displaystyle H=B/\mu _{0}}$, where ${\displaystyle B}$ is magnetic field, what is ${\displaystyle H_{y}}$ at the point (8.407,2.6006) if a current of 8.6A flows through a wire that runs along the z axis?

-a) 1.13E-01 A/m
-b) 1.24E-01 A/m
-c) 1.36E-01 A/m
+d) 1.49E-01 A/m
-e) 1.63E-01 A/m

13. A very long and thin solenoid has 1656 turns and is 144 meters long. The wire carrys a current of 8.4A. What is the magnetic field in the center?

-a) 8.40E-05 Tesla
-b) 9.21E-05 Tesla
-c) 1.01E-04 Tesla
-d) 1.11E-04 Tesla
+e) 1.21E-04 Tesla

14. 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${\displaystyle \int {\vec {H}}\cdot {\vec {d\ell }}}$ 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

15. What is the sum of 0.2 apples plus 57 apples?

+a) 5.72E+01 apples
-b) 6.27E+01 apples
-c) 6.88E+01 apples
-d) 7.54E+01 apples
-e) 8.27E+01 apples

16. H is defined by, B=μ0H, where B is magnetic field. A current of 92A passes along the z-axis. Use symmetry to find the integral, ${\displaystyle \int {\vec {H}}\cdot {\vec {d\ell }}}$, from the point (0,6.4) to the point (6.4,0).

-a) 2.10E+01 amps
+b) 2.30E+01 amps
-c) 2.52E+01 amps
-d) 2.77E+01 amps
-e) 3.03E+01 amps

17. H is defined by, B=μ0H, where B is magnetic field. A current of 96A passes along the z-axis. Use symmetry to find the integral, ${\displaystyle \int {\vec {H}}\cdot {\vec {d\ell }}}$, from the point (-6.4, 6.4) to the point (6.4, 6.4).

-a) 2.00E+01 amps
-b) 2.19E+01 amps
+c) 2.40E+01 amps
-d) 2.63E+01 amps
-e) 2.89E+01 amps

18. H is defined by, B=μ0H, where B is magnetic field. A current of 88A passes along the z-axis. Use symmetry to find the integral, ${\displaystyle \int {\vec {H}}\cdot {\vec {d\ell }}}$, from the point (0,6.6) to the point (6.6,6.6).

-a) 9.15E+00 amps
-b) 1.00E+01 amps
+c) 1.10E+01 amps
-d) 1.21E+01 amps
-e) 1.32E+01 amps

19. H is defined by, B=μ0H, where B is magnetic field. A current of 94A passes along the z-axis. Use symmetry to find the integral, ${\displaystyle \int {\vec {H}}\cdot {\vec {d\ell }}}$, from (-∞,9.4) to (+,9.4).

-a) 3.25E+01 amps
-b) 3.57E+01 amps
-c) 3.91E+01 amps
-d) 4.29E+01 amps
+e) 4.70E+01 amps

20. A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 11.4 μT. The kinetic energy is 307 keV. What is the radius of particle's orbit?

-a) 7 x 101 m.
-b) 2.2 x 102 m.
-c) 7 x 102 m.
-d) 2.2 x 103 m.
+e) 7 x 103 m.

21. Two parallel wires are 7.2 meters long, and are separated by 6.9 mm. What is the force if both wires carry a current of 13.7 amps?

-a) 1.24 x 10-2 newtons
+b) 3.92 x 10-2 newtons
-c) 1.24 x 10-1 newtons
-d) 3.92 x 10-1 newtons
-e) 1.24 x 100 newtons

22. 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

23. An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.07c, and Earth's magnetic field makes an angle of 22.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 54 mm apart. What must be the applied voltage if the magnetic field is 45μT?

-a) 2 x 10-1 volts
-b) 6.2 x 10-1 volts
-c) 2 x 100 volts
-d) 6.2 x 100 volts
+e) 2 x 101 volts