The switch is disconnected from point b and conneceted to point a. What will hap

Question

The switch is disconnected from point b and conneceted to point a. What will happen to the voltage across the capacitor?

I have tried options: The voltage with drop exponentially with time, The voltage will drop linearly with time, and The voltage will immediately drop to zero and none of them were correct.

Please help!

(25 %) Problem 4: A bank of batteries, total emf = 4.5 V, is connected with resistor R = 120 kQ, capacitor C = 680 pF, and two-pole switch S as shown. The switch is initially set to point b so that the resistor and capacitor are in series. The switch is left in this position for a sufficiently long time so that the capacitor is completely discharged Randomized Variables =45V R=120 kS2 C=680 pF ©theexpertta.com × 25% Part (a) The switch is disconnected from point b and connected to point a. What will happen to the voltage across the capacitor? Grade Summary Potential Submissions The voltage will increase linearly with time The voltage will drop exponentially with time The voltage will immediately rise to The voltage will not change The voltage will drop linearly with time The voltage will immediately drop to zero The voltage will increase exponentially with time 48% 52% Attempts remaining: 3 53% per attempt) detailed view 16% 16% 16% Submit Hint I give up! Hints: Feedback:

Explanation / Answer

When Switch S is connected to a then the capacitor started charging

voltage across capacitor at any time t seconds is

v = Vmax*(1-e^(-t/RC))..................(1)

Vmax = C*e

then from equation (1) we can say that

volatge v across capacitor increases exponentially with time t

after a long time the emf of the battey = volatge across capacitor

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