Voltage `V_1` across the capacitor in above circuit is

Options

A. in phase with source voltage V.
B. `90^@` ahead of source voltage V.
C. ahead of source voltage V by amount `delta` where `0 lt delta lt 90^@`
D. lags behind the source voltage V by amount `delta` where `0 lt delta lt 90^@`

Answer

D

Explanation

Because `cos delta=R/Z=R/sqrt(R^2+X_C^2)`
(`because` Here `Z=sqrt(R^2+X_C^2)` )
`rArr 0 lt cos delta lt 1`
`rArr 0 lt cos delta lt 90^@`