Problem4 The circuit which was at position a for a long time is suddenly switche

Question

Problem4 The circuit which was at position a for a long time is suddenly switched to position bat timer . a) Select the correct option for each statement (True,False) The current through the resistor equals the current through the capacitor at all times In the instant after the circuit is switched to position b, the voltage across the capacitor is zero In the instant after the circuit is switched to position b, the voltage across the resistor is zero. In the instant after the circuit is switched to position b, the current through the capacitor is zero. Submit Answer Tries 0/6 b) what is V at time =2.00 milliseconds? DATA: R-415. , C-4.00 uF, v 2.15V. Submit Answer Tries 0/6 c) What is the energy dissipated in the resistor after time -0? Submit Answer Tries 0/6 d) Using the same data as above, consider the case when the switch is in position b for a long time, then switched to position a at time H. What is Submit Answer Tries 0/6 at time 2.0 milliseconds?

Explanation / Answer

a)(1)True

(2)False

(3)False

(4)False

b)t = 2 ms ; R = 415 Ohm ; C = 4 uF ; Vb = 2.15 V

We know that

Vc = V e^-t/RC

Vc = 2.15 e^-(2 x 10^-3)/(415 x 4 x 10^-6) = 1.38 V

Hence, V' = 1.38 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 2.15^2 = 9.25 x 10^-6 J

Hence, U = 9.25 x 10^-6 J

d)Vc' = Vb - Vc

Vc' = 2.15 - 1.38 = 0.77 V

Hence, Vc' = 0.77 V

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