Problem: In the circuit shown in the figure (Figure 1), both capacitors are initially charged to 50.0 V. Part A) How long after closing the switch S will the potential across each capacitor be reduced to 10.0 V?Part B) What will be the current at that time?

FREE Expert Solution

The potential across a capacitor in an RC circuit is expressed as:

V=V0e-tReqCeq, where V is the voltage at a time t, V0 is the initial voltage, t is the time taken for the voltage to reduce from V0 to V, Req is the equivalent resistance, and Ceq is the equivalent capacitance. 

Equivalent resistance for resistors in series:

Req=R1+R2+...+Rn

For capacitors in parallel, the equivalent capacitance is:

Ceq=C1+C2+...+Cn

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Problem Details

In the circuit shown in the figure (Figure 1), both capacitors are initially charged to 50.0 V. 


Part A) How long after closing the switch S will the potential across each capacitor be reduced to 10.0 V?

Part B) What will be the current at that time?

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