# Problem: A 20 μF capacitor initially charged to 25 μC is discharged through a 1.5 kΩ resistor. How long does it take to reduce the capacitor's charge to 10 μC?

###### FREE Expert Solution

The time constant of a capacitor circuit is given by:

$\overline{){\mathbf{T}}{\mathbf{=}}{\mathbf{R}}{\mathbf{C}}}$

The charge stored in a capacitor and time are related by:

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###### Problem Details

A 20 μF capacitor initially charged to 25 μC is discharged through a 1.5 kΩ resistor.

How long does it take to reduce the capacitor's charge to 10 μC?