$A$ small signal voltage $V(t) = V_0 \sin(\omega t)$ is applied across an ideal capacitor $C$. Which of the following statements is correct?

• A
  Over a full cycle,the capacitor $C$ does not consume any energy from the voltage source.
• B
  Current $I(t)$ is in phase with voltage $V(t)$.
• C
  Current $I(t)$ leads voltage $V(t)$ by $180^\circ$.
• D
  Current $I(t)$ lags voltage $V(t)$ by $90^\circ$.