Question

Which set gives the equivalent expressions for the energy stored in a capacitor?

Options

• \[U=\frac{Q}{2C}=\frac{1}{2}\frac{Q}{V}=\frac{C}{2V^2}\]

• \[U=\frac{Q^2}{C}=QV=CV^2\]

• \[U=2CQ^2=2QV=2CV^2\]

• \[U=\frac{Q^2}{2C}=\frac{1}{2}QV=\frac{1}{2}CV^2\]

Answer 1

The stored energy can be written in terms of charge and capacitance, charge and voltage, or capacitance and voltage. The equivalent forms are \(\frac{Q^2}{2C}\), \(\frac{1}{2}QV\), and \(\frac{1}{2}CV^2\).