When an ac source of emf`e=E_(0) sin (100 t)` is connected across a circuit, the phase difference between emf e and currnet I in the circuit is observed to be `(pi)//(4)` as shown in fig. If the circuit consists possibly only of R-C or R-C of L-R series, find the relationship find the relationship between the two elements.

Options

A. `R = 1 k Omega, C = 10 mu F`
B. `R = 1 k Omega, C = 1 mu F`
C. `R = 1 k Omega, L = 10 H`
D. `R = 1 k Omega, L = 1 H`

Answer

A

Explanation

(a)
Current leads voltage in `RC` cobination.
`tan phi=(X_(C ))/(R )=(1)/(omegaCR)=1 rArr phi=(pi)/(4)`