1.(a) A 1.65 microcoulomb charge experiences a 0.510 N force when placed in an e
ID: 1643822 • Letter: 1
Question
1.(a) A 1.65 microcoulomb charge experiences a 0.510 N force when placed in an electric field. How strong is the field?
(b) The potential energy of a 1.65 microcoulomb charge moving from point b increases by 740,000 joules. what is the potential difference between a and b?
(c) The charge on a 10.0 microF capacitor is 75,0 microcoulomb. What is the potential difference ( voltage) across the capacitor?
(d) In 2.0 minutes, 18 C of electric charge passes through a wire. How much current is flowing in this wire?
(e) A 47.0 microF capacitor is charged to 12.0 volts. At t=0, a 220,000 ohm's resistor is connected across the capacitor. What is the capacitor voltage at t=15.0s?
Explanation / Answer
(A) F = q E
0.510 = (1.65 x 10^-6) E
E = 3.09 x 10^5 N/C
(B) U = q deltaV
740 000 = (1.65 x 10^-6) V
V = 4.485 x 10^11 Volt
(C) Q = C V
750 uC = (10 uF) V
V = 7.5 Volt
(D) I = Q/t = (18 C )/ (2 x 60 s)
I = 0.15 A
(E) V = V0 [ e^(-t/RC)]
t/RC = 15 / (47 x 10^-6 x 220000) = 1.45
V = 12 [ e^(-1.45)] = 2.82 Volt
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