Question

Which relation expresses that the voltage across the capacitor equals the applied voltage?

Options

• \[qC=v_m\sin\omega t\]

• \[\frac{q}{C}=v_m\sin\omega t\]

• \[\frac{q}{C}=v_m\cos\omega t\]

• \[\frac{C}{q}=v_m\sin\omega t\]

Answer 1

The voltage across a capacitor is \[\frac{q}{C}\]. Equating it to the applied voltage gives \[\frac{q}{C}=v_m\sin\omega t\].