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An ac voltage v = v0 sinomegat is applie...

An ac voltage `v = v_0 sin``omega`t is applied to a series combination of a resistor R and an element X.The Instantaneous current in the circuit is `I=I_0 sin(omegat + pi/4)`.Then which of the following is correct?

A

X is a capacitor and `X_C=sqrt2 R`

B

X is an inductor and `X_L=R`

C

X is an inductor and `X_L=sqrt2 R`

D

X is a capacitor and `X_C= R`

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