Problem 4 ? The circuit which was at position a for a long time is suddenly swit

Question

Problem 4 ? The circuit which was at position a for a long time is suddenly switched to position b at time t-0. a) Select the correct option for each statement (True,False) B In the instant after the circuit is switched to position b, the voltage across the capacitor is zero. instant after the circuit is switched to position b, the current through the capacitor is zero. The current through the resistor equals the current through the capacitor at all times. D In the instant after the circuit is switched to position b, the voltage across the resistor is zero. Submit Answer Tries 0/6 b) what is ve at time-2.00 milliseconds? DATA: Rs475. .cs400 uF, va-225 . Submit Answer Tries 0V6 c) What is the energy dissipated in the resistor after time t-0? Submit Answer Tries OV6 l) Using the same data as ahove, consider the case when the switch is in position b for a long time, then swiched to position at time 0. Whatis V at timne e2.0 mililieconds? Submit Answer Tries 0V6 Due in 16 hours, 5 minutes Problem5

Explanation / Answer

a)(1)False

(2)False

(3)True

(4)False

b)t = 2 ms ; R = 475 Ohm ; C = 4 uF ; Vb = 2.25 V

We know that

Vc = V e^-t/RC

Vc = 2.25 e^-(2 x 10^-3)/(475 x 4 x 10^-6) = 0.785 V

Hence, V' = 0.785 V

c)the energy disspiated will be equal to that stored in capacitor

U = 1/2 C V^2

U = 0.5 x 4 x 10^-6 x 2.25^2 = 10.125 x 10^-6 J

Hence, U = 10.125 x 10^-6 J

d)Vc' = Vb - Vc

Vc' = 2.25 - 0.785 = 1.465 V

Hence, Vc' = 1.465 V

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