Problem: The capacitor in the figure shown is initially uncharged. The switch is closed at t = 0.What is the final charge on the capacitor?

FREE Expert Solution

Voltage divider rule:

V2=εR2R1 + R2V1=εR1R1 + R2

The charge stored on a capacitor:

Q=CV

When the capacitor is fully charged, there is no current through R3. The voltage across the capacitor is equal to the voltage across R2

VC = V2 = ε[R2/(R1 + R2)] = 42.0[6.00/(6.00 + 8.00)] = 18 V

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Problem Details

The capacitor in the figure shown is initially uncharged. The switch is closed at t = 0.

What is the final charge on the capacitor?