In the circuit of the figure below, b = 1.6 kV, C = 7.0 mu F, R_1 = R_2 = R_3 =

Question

In the circuit of the figure below, b = 1.6 kV, C = 7.0 mu F, R_1 = R_2 = R_3 = 0.76 M ohm. with C completely uncharged, switch S is suddenly closed (at t = 0). At t = 0, what Is current l_1 in resistor 1? A At t = 0, what Is current I_2 in resistor 2? A At t = 0, what Is current I_3 in resistor 3? A Repeat for t = infinity (that is, after many time constants.) What is current I_1? A What is current I_2? A What is current i_3? A What is the potential difference V_2 across resistor 2 at t = 0? V What is V_2 at t = infinity? 0.796 V Sketch V_2 versus t between these two extreme times. (Do this on paper. Your instructor may ask you to turn in this sketch.) When a potential is suddenly put across a capacitor to charge it, does the capacitor act like ordinary wire or broken wire? How about a long time later? for each you fine equivalent resistance and then write a loop equation?

Explanation / Answer

a )

i1 = 2 V / 3 R

i1 = 2 X 1.6 X 103 / 3 X 0.76 x 106   

i1 = 1.4 X 10-3 A

b )

i2 = V / 3 R

i2 = 1.6 X 103 / 3 X 0.76 x 106   

i2 = 7.01 X 10-4 A

c )

i3 = i2

i3 = i2 = 7.01 X 10-4 A

i3 = 7.01 X 10-4 A

d )

i1 = V / 2 R

i1 = 1.6 X 103 / 2 X 0.76 x 106   

i1 = 1.052 X 10-3 A

e )

i1 = i2

i1 = i2 = 1.052 X 10-3 A

i1 = 1.052 X 10-3 A

f )

i3 = 0 A

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