Question

A capacitor and resistor are connected with an `AC` source as shown in figureure. Reactance of capacitor is `X_C=3Omega` and resistance of resistor is `4Omega`. Phase difference between current `I` and `I_1 is [tan^-1(3/4)=37^@]`
.
A. `90^@`
B. zero
C. `53^@`
D. `37^@`

Answer 1

Correct Answer - C
`I_2=V/X_C=V/3` (here V=rms value)
`I_1=V/R=V/4`
`I_2` is `90^@` ahead of applied voltage function and `I_1` is in phase with it.

`I_1=V/4`
`tanphi=(V//3)/(V//4)=4/3`
`:. phi=53^@`