A circuit has battery with voltage V, a resistor R, a switch and a capacitor C,(

Question

A circuit has battery with voltage V, a resistor R, a switch and a capacitor C,(all in series) which is initially uncharged. At time t=0, the switch is closed.

1. Before the switch is closed, rank the voltages across the battery, resistor, capacitor and switch. If any the voltages are zero, state so explicitly. Explain.

2. In terms of the given quantities, what is the current through the switch and the voltage across the switch just after it is closed?

3. A short time after the switch is closed, is the current through the R greater than, less than, or equal to the current through the switch? Explain.

The capacitor is discharged, and another identical capacitor is added in series.

4. Just after the switch is closed in the new circuit, will the current through R be greater than, less than, or equal to the current through R just after the switch was closed in previous circuit? Explain.

5. How will the final charge on the first capacitor in the second circuit compare the to the final charge on the capacitor in the first circuit? Explain

Explanation / Answer

1) V_battery > VR = VC = VSwitch

here, VR = VC = VSwitch = 0

2)when switch is close maximum current flows in the ckt.
Imax = V/R

3) IR = Iswitch

4) when switch is close maximum current flows in the ckt.It does not depend on net capacitance of the ckt.

5) when we add one more cpacitor in series

Cnet = C/2

so, charge becomes half

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