Problem: A 20 μF capacitor initially charged to 25 μC is discharged through a 1.1 kΩ resistor. How long does it take to reduce the capacitor's charge to 10 μC?

FREE Expert Solution

The time constant in the series RC circuit is:

τ=RC, where R is the equivalent resistance, C is the equivalent capacitance, and τ is the time constant.

The final charge stored by the capacitor is expressed as:

Q=Q0e-tτ, where Q is the final charge and Q0 is the initial charge stored by the capacitor.

To find time constant, R = 1.1 kΩ = 1.1 × 103Ω and 

C = 20 μF = 20 × 10-6F

τ = (1.1 × 103)(20 × 10-6) = 0.022s

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Problem Details

A 20 μF capacitor initially charged to 25 μC is discharged through a 1.1 kΩ resistor. How long does it take to reduce the capacitor's charge to 10 μC?

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