21 January 2014

Physics Homework Chapter 16

NOTE: This page will be constantly updated between now and January 27th (at which time all of Chapter 16 homework will be complete and posted).

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1. A uniform electric field of magnitude 440 N/C pointing in the positive x-direction acts on an electron, which is initially at rest. The electron has moved 3.00 cm.

(a) What is the work done by the field on the electron?
_____J

(b) What is the change in potential energy associated with the electron?
_____J

(c) What is the velocity of the electron?
magnitude
_____m/s
direction: (+x, +y, -x, -y)?

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2. Two point charges are on the y-axis. A 2.5 µC charge is located at y = 1.40 cm, and a -2.06 µC charge is located at y = -1.60 cm.

(a) Find the total electric potential at the origin.
_____V

(b) Find the total electric potential at the point having coordinates (1.50 cm, 0).
_____V

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3. A metal sphere of radius 5.00 cm is initially uncharged. How many electrons would have to be placed on the sphere to produce an electric field of magnitude 1.35 X 105 N/C at a point 8.18 cm from the center of the sphere?
_____electrons

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4. The two charges in the figure below are separated by d = 1.50 cm.
(Let q1 = −18.5 nC and q2 = 28.5 nC.)

(a) Find the electric potential at point A.
_____kV

(b) Find the electric potential at point B, which is halfway between the charges.
_____kV

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5.Consider the following figure.




(a) Find the electric potential, taking zero at infinity, at the upper right corner (the corner without a charge) of the rectangle in the figure. (Let y = 2.8 cm and x = 6.5 cm.)
_____J/C

(b) Repeat if the 2.00-µC charge is replaced with a charge of −2.00 µC.
_____J/C

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6.
(a) When a 15.00-V battery is connected to the plates of a capacitor, it stores a charge of 24.0 µC. What is the value of the capacitance?
_____µF

(b) If the same capacitor is connected to a 12.00-V battery, what charge is stored?
_____µC

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7. An air-filled parallel-plate capacitor has plates of area 2.70 cm2 separated by 2.50 mm. The capacitor is connected to a 24.0 V battery.
(a) Find the value of its capacitance.
____pF

(b) What is the charge on the capacitor?
_____pC

(c) What is the magnitude of the uniform electric field between the plates?
_____N/C

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8. Given a 1.50 µF capacitor, a 7.00 µF capacitor, and a 18.00 V battery, find the charge on each capacitor if you connect them in the following ways.

(a) in series across the battery
_____µC

(b) in parallel across the battery
1.50 µF capacitor
_____µC
7.00 µF capacitor
_____µC

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9.Find the following. (Let C1 = 38.40 µF and C2 = 32.40 µF.)

(a) the equivalent capacitance of the capacitors in the figure above
_____µF

(b) the charge on each capacitor
on the right 38.40 µF capacitor       _____µC
on the left 38.40 µF capacitor         _____µC
on the 32.40 µF capacitor              _____µC
on the 6.00 µF capacitor                _____µC

(c) the potential difference across each capacitor
on the right 38.40 µF capacitor       _____V
on the left 38.40 µF capacitor         _____V
on the 32.40 µF capacitor              _____V
on the 6.00 µF capacitor                _____V


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10. For the system of capacitors shown in the figure below, find the following. (Let C1 = 1.00 µF and C2 = 2.00 µF.)

(a) the equivalent capacitance of the system
_____µF

(b) the charge on each capacitor
on C1                                  _____µC
on C2                                  _____ µC
on the 6.00 µF capacitor      _____µC
on the 2.00 µF capacitor      _____µC

(c) the potential difference across each capacitor
across C1                                   _____V
across C2                                   _____V
across the 6.00 µF capacitor       _____V
across the 2.00 µF capacitor       _____V


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2 comments:

  1. On Question #10, What if the C2 and 2.00 uF capacitor value are not equal? My question has C2 as 5.00 uF.

    ReplyDelete
  2. can you tell me the steps on how you get it to equal delta V_1a for number 10

    ReplyDelete