A voltage of V sin(4t) is applied to a pure capacitor. Which of the following represents the current through the capacitor?

Concept:

• In a purely resistive circuit, voltage and current are in the same phase i.e. angle between current and voltage is 0°.
•  In a purely inductive circuit, current lags behind voltage by an angle 90° i.e. angle between current and voltage is - 90°.
• In a purely capacitive circuit, current leads the voltage by an angle 90° i.e. angle between current and voltage is + 90°.

Application:

The voltage applied to a pure capacitor = V sin(4t)

Now current through the pure capacitor is

\(i = A\;sin\left( {4t + \frac{\pi }{2}} \right)\)

Where A is the peak value of current