What is the voltage across V3 and V2 in this problem? Consider the following cir

Question

What is the voltage across V3 and V2 in this problem?

Consider the following circuit in which V = 12 V, R_1 = 276.0 Ohm, R_2 = 138.0 Ohm, R_3 = 552.0 Ohm, C_1 = 6.03 mu F, and C_2 = 2.24 mu F. The switch S has been closed for a very long time. Then at t = 0, the switch is suddenly opened. Immediately after the switch is opened, what is the voltage across R_3? The voltage is POSITIVE if the side of the resistor closest to the TOP of the page is at higher potential. A) 4.0 V B) -3.2 V C) 0 V D) 0.8 V E) -0.8 V

Explanation / Answer

Voltage across capacitor = 12*138/(138+276)

= 4 V. (which is = Vc1+Vc2)

after switch is opened,

iR2 + i R3 = Vc1 + Vc2 = 4. because charge across capacitors cant be changed suddenly.

V3= 4*552/(552+138) = 3.2 V

since side closest to top is at lower potential as current is counter clockwise.

V = -3.2V

option b is correct

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