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

Options

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

Answer

A

Explanation

As the current `i` leads the voltage by `pi/4`, it is `RC` circuit, hence `tan varphi=(X_(C))/Rimplies tan (pi/4)=1/(omegaCR)`
`implies omegaCR=1` as `omega=100 rad//sec`
`implies CR=1/100sec^(-1)`.
From all the given option only option (a) is correct .