Answer to Question #159492 in Electric Circuits for Gill Allain

Question

A capacitor charged from a 50V DC supply is discharged across a charge-measuring instrument and found to have carried a charge of 10uC. What is the capacitance of the capacitor and how much energy was stored in it?

Answer 1

The capacitance of the capacitor is:

$C=\frac{Q} {U}=\frac{10\cdot10^{-6}} {50} =0.2\space uF$

The stored energy is:

$W=\frac{QU} {2} =\frac{10\cdot 10^{-6}\cdot 50} {2} =0.25 \space mJ.$