Question

Find the energy u of the capacitor in terms of c and q by using the definition of capacitance and the formula for the energy in a capacitor

Answer 1

The formula for the energy in a capacitor , u in terms of q and c is q²/2c

What is the energy of a capacitor?

The energy of a capacitor u = 1/2qv where

• q = charge on capacitor and
• v = voltage across capacitor.

What is the capacitance of a capacitor?

Also, the capacitance of a capacitor c = q/v where

• q = charge on capacitor and
• v = voltage across capacitor.

So, v = q/c

The formula for energy of the capacitor in terms of q and c

Substituting v into u, we have

u = 1/2qv

= 1/2q(q/c)

= q²/2c

So, the formula for the energy in a capacitor , u in terms of q and c is q²/2c

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