The time constant in the series RC circuit is:
, 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:
, where Q is the final charge and Q0 is the initial charge stored by the capacitor.
To find the 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
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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