# User:Guy vandegrift/Quizbank/Archive1/Calculus Physics/T2study

## CalcPhysIIT2_Study

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This document contains either a study guide OR pairs of exams taken from the same exam bank
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### CalcPhysIIT2_Study-v1s1

1. How fast is a 2493 eV electron moving?

___a) 1.3 x 107 m/s.
___b) 2 x 107 m/s.
___c) 3 x 107 m/s.
___d) 4.4 x 107 m/s.
___e) 6.7 x 107 m/s.

2. 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 105 m/s.
___b) 1.7 x 105 m/s.
___c) 2.6 x 105 m/s.
___d) 3.8 x 105 m/s.
___e) 5.8 x 105 m/s.

3. What voltage is required accelerate an electron at rest to a speed of 3 x 105 m/s?

___a) 1.7 x 10-1 volts
___b) 2.6 x 10-1 volts
___c) 3.8 x 10-1 volts
___d) 5.8 x 10-1 volts
___e) 8.6 x 10-1 volts

4. What voltage is required to stop a proton moving at a speed of 3.9 x 103 m/s?

___a) 3.5 x 10-2 volts
___b) 5.3 x 10-2 volts
___c) 7.9 x 10-2 volts
___d) 1.2 x 10-1 volts
___e) 1.8 x 10-1 volts

5. 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,
${\displaystyle {\vec {\mathfrak {F}}}=(1.89+1.31z)\rho ^{3}{\hat {\rho }}+8.35z^{2}{\hat {z}}}$
Let ${\displaystyle {\hat {n}}}$ be the outward unit normal to this cylinder and evaluate ,
${\displaystyle \left|\int _{top}{\vec {\mathfrak {F}}}\cdot {\hat {n}}dA\right|\,}$
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

6. 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,
${\displaystyle {\vec {\mathfrak {F}}}=(2.14+2.8z)\rho ^{2}{\hat {\rho }}+9.94z^{2}{\hat {z}}}$
Let ${\displaystyle {\hat {n}}}$ be the outward unit normal to this cylinder and evaluate ,
${\displaystyle \left|\int _{side}{\vec {\mathfrak {F}}}\cdot {\hat {n}}dA\right|\,}$
over the curved side surface of the cylinder.

___a) 2.420E+02
___b) 2.931E+02
___c) 3.551E+02
___d) 4.303E+02
___e) 5.213E+02

7. 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,
${\displaystyle {\vec {\mathfrak {F}}}=(2.17+1.5z)\rho ^{2}{\hat {\rho }}+8.75z^{2}{\hat {z}}}$
Let ${\displaystyle {\hat {n}}}$ be the outward unit normal to this cylinder and evaluate ,
${\displaystyle \left|\oint {\vec {\mathfrak {F}}}\cdot {\hat {n}}dA\right|\,}$
over the entire surface of the cylinder.

___a) 3.60E+02
___b) 4.36E+02
___c) 5.29E+02
___d) 6.40E+02
___e) 7.76E+02

8. A 4.7 volt battery moves 50 Coulombs of charge in 1.3 hours. What is the power?

___a) 4.14 x 10-2 W
___b) 5.02 x 10-2 W
___c) 6.08 x 10-2 W
___d) 7.37 x 10-2 W
___e) 8.93 x 10-2 W

9. 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/m3 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 10-4m/s
___b) 4.63 x 10-4m/s
___c) 5.61 x 10-4m/s
___d) 6.8 x 10-4m/s
___e) 8.24 x 10-4m/s

10. A 146 Watt DC motor draws 0.23 amps of current. What is effective resistance?

___a) 2.28 x 103 Ω
___b) 2.76 x 103 Ω
___c) 3.34 x 103 Ω
___d) 4.05 x 103 Ω
___e) 4.91 x 103 Ω

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

___a) 8.93 x 101 volts
___b) 1.08 x 102 volts
___c) 1.31 x 102 volts
___d) 1.59 x 102 volts
___e) 1.92 x 102 volts

12. 3 amps flow through a 1 Ohm resistor. What is the voltage?}

___ a) ${\displaystyle {\frac {1}{3}}V}$
___ b) ${\displaystyle 1V}$
___ c) ${\displaystyle 3V}$
___ d) None these are correct.

13. A 1 ohm resistor has 5 volts DC across its terminals. What is the current (I) and the power consumed?}

___ a) I = 5A & P = 5W.
___ b) I = 5A & P = 3W.
___ c) I = 5A & P = 25W.
___ d) I = 5A & P = 9W

14. The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one? }

___ a) ${\displaystyle V_{small-Resistor}=5V}$ and ${\displaystyle V_{Big-Resistor}=5V}$.
___ b) ${\displaystyle V_{Big-Resistor}=6.67V}$ and ${\displaystyle V_{small-Resistor}=3.33V}$.
___ c) ${\displaystyle V_{Big-Resistor}=3.33V}$ and${\displaystyle V_{small-Resistor}=6.67V}$.
___ d) None of these are true.

15. A 1 ohm, 2 ohm, and 3 ohm resistor are connected in series. What is the total resistance?}

___ a) ${\displaystyle R_{Total}=3\Omega }$.
___ b) ${\displaystyle R_{Total}=0.5454\Omega }$.
___ c) ${\displaystyle R_{Total}=6\Omega }$.
___ d) None of these are true.

16. 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) ${\displaystyle R_{1}=250V}$ and ${\displaystyle R_{2}=0V}$.
___ c) ${\displaystyle R_{1}=150V}$ and ${\displaystyle R_{2}=100V}$.
___ d) ${\displaystyle R_{1}=125V}$ and ${\displaystyle R_{2}=125V}$.

17. A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?}

___ a) ${\displaystyle {\frac {6}{11}}\Omega }$.
___ b) ${\displaystyle {\frac {3}{6}}\Omega }$.
___ c) ${\displaystyle {\frac {6}{3}}\Omega }$.
___ d) ${\displaystyle {\frac {11}{6}}\Omega }$.

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

___ a) ${\displaystyle {\frac {7}{10}}\Omega }$.
___ b) ${\displaystyle {\frac {6}{10}}\Omega }$.
___ c) ${\displaystyle {\frac {10}{6}}\Omega }$.
___ d) ${\displaystyle {\frac {10}{7}}\Omega }$.

19. A 7 ohm and a 3 ohm resistor are connected in parallel. What is the total resistance?}

___ a) ${\displaystyle {\frac {7}{11}}\Omega }$.
___ b) ${\displaystyle {\frac {10}{21}}\Omega }$.
___ c) ${\displaystyle {\frac {21}{10}}\Omega }$.
___ d) ${\displaystyle {\frac {11}{7}}\Omega }$.

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

___ a) ${\displaystyle {\frac {1}{3}}\Omega }$.
___ b) ${\displaystyle {\frac {3}{2}}\Omega }$.
___ c) ${\displaystyle {\frac {2}{3}}\Omega }$.
___ d) ${\displaystyle 3\Omega }$.

21. If you put an infinite number of resistors in parallel, what would the total resistance be?}

___ a) None of these are true.
___ b) ${\displaystyle R_{total}}$ would approach 1 as The No. of Resistors In parallel Approaches Infinity
___ c) ${\displaystyle R_{total}}$ would approach Zero as The No. of Resistors In parallel Approaches Infinity.
___ d) It is not possible to connect that Number of Resistors in parallel.

22. What is the current through R1 and R2 in the figure shown?
___ a) ${\displaystyle I_{1}=0.1A}$ and ${\displaystyle I_{2}=0.1667A}$.
___ b) ${\displaystyle I_{1}=10A}$ and ${\displaystyle I_{2}=16.67A}$.
___ c) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=25A}$.
___ d) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=1.667A}$.

23. 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) None these are correct
___ d) The other point could be Negative or positive.

24. What is the current through R1, R2, R3, and R4 in the figure shown?
___ a) ${\displaystyle I_{1}=10A}$; ${\displaystyle I_{2}=50A}$; ${\displaystyle I_{3}=33A}$; ${\displaystyle I_{4}=25A}$..
___ b) ${\displaystyle I_{1}=0.25A}$; ${\displaystyle I_{2}=0.33A}$; ${\displaystyle I_{3}=0.5A}$; ${\displaystyle I_{4}=0.1A}$.
___ c) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=0.5A}$; ${\displaystyle I_{3}=0.33A}$; ${\displaystyle I_{4}=0.25A}$.
___ d) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=5A}$; ${\displaystyle I_{3}=3.3A}$; ${\displaystyle I_{4}=2.5A}$.

25. Two resistors are in parallel with a voltage source. How do their voltages compare?}

___ a) None of these are true.
___ b) One has full voltage, the other has none.
___ c) The voltage across both resistors is half the voltage of the source.
___ d) The voltage across both resistors is the same as the source.

26. A resistor consumes 5 watts, and its current is 10 amps. What is its voltage?

___ a) 2V.
___ b) 0.5V.
___ c) 10V.
___ d) 15V.

27. A resistor has 10 volts across it and 4 amps going through it. What is its resistance?}

___ a) ${\displaystyle 4.5\Omega .}$
___ b) ${\displaystyle 3.5\Omega .}$
___ c) None of these are true.
___ d) ${\displaystyle 2.5\Omega .}$

28. If you plot voltage vs. current in a circuit, and you get a linear line, what is the significance of the slope? }

___ a) Power.
___ b) Discriminant.
___ c) None of these are true.
___ d) Resistance.

29. A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?}

___ a) 2A
___ b) 12A
___ c) 3A
___ d) 1.5A

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

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

31. A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed? }

___ a) 1.67 Watts
___ b) 2.5 Watts
___ c) 11.67 Joules
___ d) None of these are ture.

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

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

#### Key to CalcPhysIIT2_Study-v1s1

1. How fast is a 2493 eV electron moving?

-a) 1.3 x 107 m/s.
-b) 2 x 107 m/s.
+c) 3 x 107 m/s.
-d) 4.4 x 107 m/s.
-e) 6.7 x 107 m/s.

2. 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 105 m/s.
-b) 1.7 x 105 m/s.
-c) 2.6 x 105 m/s.
+d) 3.8 x 105 m/s.
-e) 5.8 x 105 m/s.

3. What voltage is required accelerate an electron at rest to a speed of 3 x 105 m/s?

-a) 1.7 x 10-1 volts
+b) 2.6 x 10-1 volts
-c) 3.8 x 10-1 volts
-d) 5.8 x 10-1 volts
-e) 8.6 x 10-1 volts

4. What voltage is required to stop a proton moving at a speed of 3.9 x 103 m/s?

-a) 3.5 x 10-2 volts
-b) 5.3 x 10-2 volts
+c) 7.9 x 10-2 volts
-d) 1.2 x 10-1 volts
-e) 1.8 x 10-1 volts

5. 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,
${\displaystyle {\vec {\mathfrak {F}}}=(1.89+1.31z)\rho ^{3}{\hat {\rho }}+8.35z^{2}{\hat {z}}}$
Let ${\displaystyle {\hat {n}}}$ be the outward unit normal to this cylinder and evaluate ,
${\displaystyle \left|\int _{top}{\vec {\mathfrak {F}}}\cdot {\hat {n}}dA\right|\,}$
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

6. 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,
${\displaystyle {\vec {\mathfrak {F}}}=(2.14+2.8z)\rho ^{2}{\hat {\rho }}+9.94z^{2}{\hat {z}}}$
Let ${\displaystyle {\hat {n}}}$ be the outward unit normal to this cylinder and evaluate ,
${\displaystyle \left|\int _{side}{\vec {\mathfrak {F}}}\cdot {\hat {n}}dA\right|\,}$
over the curved side surface of the cylinder.

-a) 2.420E+02
-b) 2.931E+02
-c) 3.551E+02
+d) 4.303E+02
-e) 5.213E+02

7. 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,
${\displaystyle {\vec {\mathfrak {F}}}=(2.17+1.5z)\rho ^{2}{\hat {\rho }}+8.75z^{2}{\hat {z}}}$
Let ${\displaystyle {\hat {n}}}$ be the outward unit normal to this cylinder and evaluate ,
${\displaystyle \left|\oint {\vec {\mathfrak {F}}}\cdot {\hat {n}}dA\right|\,}$
over the entire surface of the cylinder.

-a) 3.60E+02
+b) 4.36E+02
-c) 5.29E+02
-d) 6.40E+02
-e) 7.76E+02

8. A 4.7 volt battery moves 50 Coulombs of charge in 1.3 hours. What is the power?

-a) 4.14 x 10-2 W
+b) 5.02 x 10-2 W
-c) 6.08 x 10-2 W
-d) 7.37 x 10-2 W
-e) 8.93 x 10-2 W

9. 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/m3 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 10-4m/s
-b) 4.63 x 10-4m/s
-c) 5.61 x 10-4m/s
-d) 6.8 x 10-4m/s
-e) 8.24 x 10-4m/s

10. A 146 Watt DC motor draws 0.23 amps of current. What is effective resistance?

-a) 2.28 x 103 Ω
+b) 2.76 x 103 Ω
-c) 3.34 x 103 Ω
-d) 4.05 x 103 Ω
-e) 4.91 x 103 Ω

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

-a) 8.93 x 101 volts
-b) 1.08 x 102 volts
-c) 1.31 x 102 volts
-d) 1.59 x 102 volts
+e) 1.92 x 102 volts

12. 3 amps flow through a 1 Ohm resistor. What is the voltage?}

- a) ${\displaystyle {\frac {1}{3}}V}$
- b) ${\displaystyle 1V}$
+ c) ${\displaystyle 3V}$
- d) None these are correct.

13. A 1 ohm resistor has 5 volts DC across its terminals. What is the current (I) and the power consumed?}

- a) I = 5A & P = 5W.
- b) I = 5A & P = 3W.
+ c) I = 5A & P = 25W.
- d) I = 5A & P = 9W

14. The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one? }

- a) ${\displaystyle V_{small-Resistor}=5V}$ and ${\displaystyle V_{Big-Resistor}=5V}$.
+ b) ${\displaystyle V_{Big-Resistor}=6.67V}$ and ${\displaystyle V_{small-Resistor}=3.33V}$.
- c) ${\displaystyle V_{Big-Resistor}=3.33V}$ and${\displaystyle V_{small-Resistor}=6.67V}$.
- d) None of these are true.

15. A 1 ohm, 2 ohm, and 3 ohm resistor are connected in series. What is the total resistance?}

- a) ${\displaystyle R_{Total}=3\Omega }$.
- b) ${\displaystyle R_{Total}=0.5454\Omega }$.
+ c) ${\displaystyle R_{Total}=6\Omega }$.
- d) None of these are true.

16. 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) ${\displaystyle R_{1}=250V}$ and ${\displaystyle R_{2}=0V}$.
- c) ${\displaystyle R_{1}=150V}$ and ${\displaystyle R_{2}=100V}$.
+ d) ${\displaystyle R_{1}=125V}$ and ${\displaystyle R_{2}=125V}$.

17. A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?}

+ a) ${\displaystyle {\frac {6}{11}}\Omega }$.
- b) ${\displaystyle {\frac {3}{6}}\Omega }$.
- c) ${\displaystyle {\frac {6}{3}}\Omega }$.
- d) ${\displaystyle {\frac {11}{6}}\Omega }$.

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

- a) ${\displaystyle {\frac {7}{10}}\Omega }$.
- b) ${\displaystyle {\frac {6}{10}}\Omega }$.
- c) ${\displaystyle {\frac {10}{6}}\Omega }$.
+ d) ${\displaystyle {\frac {10}{7}}\Omega }$.

19. A 7 ohm and a 3 ohm resistor are connected in parallel. What is the total resistance?}

- a) ${\displaystyle {\frac {7}{11}}\Omega }$.
- b) ${\displaystyle {\frac {10}{21}}\Omega }$.
+ c) ${\displaystyle {\frac {21}{10}}\Omega }$.
- d) ${\displaystyle {\frac {11}{7}}\Omega }$.

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

+ a) ${\displaystyle {\frac {1}{3}}\Omega }$.
- b) ${\displaystyle {\frac {3}{2}}\Omega }$.
- c) ${\displaystyle {\frac {2}{3}}\Omega }$.
- d) ${\displaystyle 3\Omega }$.

21. If you put an infinite number of resistors in parallel, what would the total resistance be?}

- a) None of these are true.
- b) ${\displaystyle R_{total}}$ would approach 1 as The No. of Resistors In parallel Approaches Infinity
+ c) ${\displaystyle R_{total}}$ would approach Zero as The No. of Resistors In parallel Approaches Infinity.
- d) It is not possible to connect that Number of Resistors in parallel.

22. What is the current through R1 and R2 in the figure shown?
- a) ${\displaystyle I_{1}=0.1A}$ and ${\displaystyle I_{2}=0.1667A}$.
- b) ${\displaystyle I_{1}=10A}$ and ${\displaystyle I_{2}=16.67A}$.
- c) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=25A}$.
+ d) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=1.667A}$.

23. 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) None these are correct
- d) The other point could be Negative or positive.

24. What is the current through R1, R2, R3, and R4 in the figure shown?
- a) ${\displaystyle I_{1}=10A}$; ${\displaystyle I_{2}=50A}$; ${\displaystyle I_{3}=33A}$; ${\displaystyle I_{4}=25A}$..
- b) ${\displaystyle I_{1}=0.25A}$; ${\displaystyle I_{2}=0.33A}$; ${\displaystyle I_{3}=0.5A}$; ${\displaystyle I_{4}=0.1A}$.
+ c) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=0.5A}$; ${\displaystyle I_{3}=0.33A}$; ${\displaystyle I_{4}=0.25A}$.
- d) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=5A}$; ${\displaystyle I_{3}=3.3A}$; ${\displaystyle I_{4}=2.5A}$.

25. Two resistors are in parallel with a voltage source. How do their voltages compare?}

- a) None of these are true.
- b) One has full voltage, the other has none.
- c) The voltage across both resistors is half the voltage of the source.
+ d) The voltage across both resistors is the same as the source.

26. A resistor consumes 5 watts, and its current is 10 amps. What is its voltage?

- a) 2V.
+ b) 0.5V.
- c) 10V.
- d) 15V.

27. A resistor has 10 volts across it and 4 amps going through it. What is its resistance?}

- a) ${\displaystyle 4.5\Omega .}$
- b) ${\displaystyle 3.5\Omega .}$
- c) None of these are true.
+ d) ${\displaystyle 2.5\Omega .}$

28. If you plot voltage vs. current in a circuit, and you get a linear line, what is the significance of the slope? }

- a) Power.
- b) Discriminant.
- c) None of these are true.
+ d) Resistance.

29. A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?}

+ a) 2A
- b) 12A
- c) 3A
- d) 1.5A

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

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

31. A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed? }

+ a) 1.67 Watts
- b) 2.5 Watts
- c) 11.67 Joules
- d) None of these are ture.

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

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