AP phys C e&m review

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A charge of magnitude 2 nC is placed at the origin. An identical charge is placed 2 millimeters from the origin on the x axis, and a third identical charge is placed 2 millimeters from the origin on the y axis. What is the magnitude of the force on the charge at the origin?

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god damn this EXAM

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1

A charge of magnitude 2 nC is placed at the origin. An identical charge is placed 2 millimeters from the origin on the x axis, and a third identical charge is placed 2 millimeters from the origin on the y axis. What is the magnitude of the force on the charge at the origin?

0.0127 N

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2

Two charged balls are separated by a certain distance. If the magnitudes of their charges are doubled, and the distance between them is halved, the electrical force between the balls will ___________.

increase by a factor of 16

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3

A faraday is defined as charge equal to NA protons.

(Avogadro's Number NA = 6.02 x 1023)

Find the number of coulombs in 1 faraday.

(use qp = 1.6 x 10-19 C)

96,320

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4

If the distance between two charges is doubled, the force is____________.

decreased by a factor of 4

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5

What is the electric force exerted on a charge of -1.2 μC at a point where the electric field is 2500 N/C?

- 0.0030 N

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6

What is the magnitude and direction of the electric field generated by a 13 μC charge in a point 8.90 cm away from the charge?

1.48 x 107 N/C, directed away from the charge

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7

A +2 μC charge is at the origin. A +5 μC charge is on the x-axis at +1 m. At what point between the charges is the electric field zero?

+38.7 cm

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8

How much work is required to bring a 10 μC  charge from infinity to 5.00 meters away from a point charge of -2 μC?

-3.60x10^-2 J

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9

Two identical charges q are placed on the x axis, one at the origin and  the other at x = 5.0 cm.

A third charge -q is placed on the x axis so  the potential energy of the three-charge system is the same as the potential energy at infinite separation.

What is the coordinate of the third charge?

13 cm

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10

A 3.0μC point charge is at the origin of a coordinate system. Another point charge of -6.0μC is at x = 1.0 m. What is the electric potential at the point where x = 0.50 m?

-5.4x10^4 V

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11

What is the charge on a 0.25 μF capacitor when the capacitor is connected to a 9.0 V battery?

2.3x10^-6 C

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12

A parallel plate capacitor has plate separation of 4.0 cm and a plate area of 4.0x10-2 m2. What is the capacitance of this capacitor?

8.9x10^-12 F

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13

The electric field just outside of a conductor that is in electrostatic equilibrium _____________.

is perpendicular to the conductor’s surface

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14

A 100 meter long copper wire has a resistance of 100 Ω. Another copper wire has the same mass but is 10 meters long. Find the resistance of the second wire.

1 Ω

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15

Electrical resistance in a wire depends on the wire’s _____________.

I. conductivity

II. length

III. thickness

All of the above

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16

A 5.5 m long aluminum wire has a resistance of 0.40 Ω, ρ = 2.82x10-8 Ωm and α= 4.29x10-3 oC-1. Its conductivity is:

3.6x10^7 (1/Ωm)

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17

If more resistors are added in series to a battery with zero internal resistance, the power supplied by the source ___________.

decreases

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18

Two 15 Ω and three 25 Ω light bulbs are connected in series and hooked up to a 24 volt battery. Find the current through each bulb.

0.229 A

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19

Three capacitors of values of 1.0 μF, 1.5 μF, and 2.0 μF each are connected in series. What is the equivalent capacitance?

  0.46 μF

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20
<p>Find the currents through the 8 Ω resistor at the instant that the switch is closed.</p><p></p>

Find the currents through the 8 Ω resistor at the instant that the switch is closed.

0.545 A

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21

What force acts between two charges of 3 μC and 8 μC if they are separated by a distance of 103 mm?

20.3 N

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22

Four charges q1, q2, q3 and q4, are placed at the corners of a square. Charges q1 and q4 are located on opposite corners and have equal charges. Both q2 and q3 have a charge of 1.0 C. If the force on q2 is zero, what is the charge on q1?

-0.35 C

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23

Two charges, q1 and q2, are separated by a certain distance. The ratio of charge q1 to charge q2 is 1:2. What is the ratio of the magnitude of the force on q1 to the magnitude of the force on q2?

1:1

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24

An electric field exerts force of 2.60 N on a 3.40 x 10-8 C charge. What is the magnitude of the electric field?

7.65 x 10^7 N/C

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25
<p>Find the magnitude of the electric field if the string with a 7 gram ball carrying a charge of 4 x 10-9 C forms an angle of 35o with the vertical.</p>

Find the magnitude of the electric field if the string with a 7 gram ball carrying a charge of 4 x 10-9 C forms an angle of 35o with the vertical.

1.20 x 10^7 N/C

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26

The electric field of an isolated, uniformly charged metallic sphere is greatest ____________.

at the sphere’s outer surface

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27

A parallel plate capacitor is connected to a battery that maintains a constant potential difference. How will the electrical energy stored on the capacitor change if the separation between the plates is doubled?

It will be cut in half.

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28

The heating coil of a water heater has a resistance of 20 ohms and operates at 210 V. How long does it take to raise the temperature of 200 kg of water from 15oC to 80oC?

6.86 hr

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29

A 500 watt heater carries a current of 4 A. What is the resistance of the heating element?

31.3 Ω

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30

A 6 Ω and a 12 Ω resistor are connected in parallel. This combination in turn is connected in series with a 4 Ω resistor. What is the equivalent resistance of this combination?

8 Ω

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31

What will be the electric potential at a distance of 0.15 m from a point charge of 6 μC?

3.6x10^5 V

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32

Two point charges of +2.00 μC and -2.00 μC are 0.100 m apart. What is the electric field at the point midway between the two charges?

1.44 x 10^7 N/C

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33
<p>at what distance is the box in equilibrium</p>

at what distance is the box in equilibrium

4.51 m

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34

A charge of magnitude 2 nC is placed at the origin. An identical charge is placed 2 millimeters from the origin on the x axis, and a third identical charge is placed 2 millimeters from the origin on the y axis. What is the magnitude of the force on the charge at the origin?

0.0127 N

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35

Charge q1 = +2.00 μC is at -0.500 m along the x axis. Charge q2 = -2.00 μC is at 0.500 m along the x axis. Charge q3 = 2.00 μC is at 0.500 m along the y axis. What is the magnitude of electrical force on charge q3 due to the others?

1.02 X 10^-1 N

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36

A 43 gram mass carrying a charge of 9 μC is suspended in a vertical upward-directed electric field. What is the magnitude of the electric field?

4.69 x 10^4 N/C

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37

Electric potential is defined as the _________________________.

potential energy per unit charge

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38

Which of the following Gaussian surfaces would be the simplest to use to determine the electric field intensity near a long, straight, charged wire?

A cylinder whose axis coincides with the wire.

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39

Two identical charges q are placed on the x axis, one at the origin and  the other at x = 5.0 cm.

A third charge -q is placed on the x axis so  the potential energy of the three-charge system is the same as the potential energy at infinite separation.

What is the coordinate of the third charge?

13 cm

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40

The electric field of an isolated, uniformly charged metallic sphere is greatest ____________.

at the sphere’s outer surface

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41

Two parallel metal plates are 5 cm apart and have equal surface charge densities of 9 nC/m2 of opposite signs on their inner surfaces. What is the electric field between the plates?

1020 N/C

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42

A copper cable carries a current of 300 A. If the power loss is 2 W per meter, find the radius of the cable. (The resistivity of copper is 1.7x10-8 Ωm.)

1.6 cm

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43
<p>From the given diagram, determine the charge stored on the 40 uF capacitor</p>

From the given diagram, determine the charge stored on the 40 uF capacitor

0.0114 C

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44

If more resistors are added in series to a battery with zero internal resistance, the power supplied by the source ___________.

decreases

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45

Two capacitors of 4 μF and 8 μF are connected in parallel. What is the equivalent capacitance of this system?

12 μF

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46

A mass with a charge of 4.60 x 10-7 C rests on a frictionless surface. A compressed spring exerts a force on the mass on the left  side. Three centimeters to the right of the mass is a 7.50 x 10-7 C fixed charge. How much is the spring compressed if its  spring constant is 14 N/m?

24.6 cm

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47

How many electrons make up a charge of -3.2 x 10-19 C?

2

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48

What is the change in potential energy of a proton as it moves from x = 5 m to x = 2 m in a uniform electric field that is parallel to the positive x-axis and directed toward the origin, if the magnitude of the electric field is 5.0x102 N/C?

-2.4x10^-16 J

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49

A hollow metal sphere is charged to a potential of 40 V. The potential at its center is ________.

40 V

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50

A 6.00 µF parallel plate capacitor has a charge of +40 μC. What is the potential energy stored in this capacitor?

133 μJ

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51

A constant 10 A current flows in a circuit with a resistance of 200 Ω. The net charge passing through any point in the circuit during a 1 minute interval is _______.

600 C

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52

What will be the final charge on the capacitor after the switch is closed and equilibrium has been reached?

99.6 µC

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53

A 2 Ω resistor is connected to a battery with an emf of 6.30 V. What is the total power dissipated by the resistor?

19.8 W

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54

Two capacitors having values of 10 μF each are connected in parallel and then hooked up to a 9.0 V battery. How much energy must the battery supply to charge the capacitors?

8.1x10-4 J

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55

A +2 μC charge is at the origin. A +5 μC charge is on the x-axis at +1 m. At what point between the charges is the electric field zero?

+38.7 cm

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56

An electron moves 0.10 m along the direction of an electric field of a magnitude of 3.0 N/C. What is the change in electric potential energy between the electron’s initial and final points?

4.8x10^-20 J

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57
<p>A charge +Q is uniformly distributed throughout a nonconducting spherical shell of inner radius R1 and outer radius R2, as shown above. The electric field is determined at a distance r from the center of the spherical shell. The electric field for r &lt; R1 is:</p>

A charge +Q is uniformly distributed throughout a nonconducting spherical shell of inner radius R1 and outer radius R2, as shown above. The electric field is determined at a distance r from the center of the spherical shell. The electric field for r < R1 is:

zero

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58

The capacitance of a parallel plate capacitor is _________.

proportional to the area of the plates

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59

A 0.20 m long metal wire has a radius of 1 cm and a resistance of 3.2x10-5 Ω. What is the resistivity of the metal?

5.0x10^-8 Ωm

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60

How would Coulomb's Law be written if the charge of an electron was instead defined as positive and the proton as negative?

F = kQq/r^2

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61

Four negative charges of a magnitude of -6 nC each form a square, 12 cm on a side. Find the magnitude of electric field at the center of the square.

0 N/C

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