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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 10

^{5}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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On Question #10, What if the C2 and 2.00 uF capacitor value are not equal? My question has C2 as 5.00 uF.

ReplyDeletecan you tell me the steps on how you get it to equal delta V_1a for number 10

ReplyDelete