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A sinusoidal voltage $\;V(t)=100\;sin (500 t)\;$ is applied across a pure inductance of $\;L=0.02 \;H\;$ . The current through the coil is :

$(a)\;10\;cos(500 t) \qquad(b)\;-10\;cos(500 t) \qquad(c)\;10\;sin(500 t) \qquad(d)\;-10\;sin(500 t)$