In a series L-R circuit `(L=35 mH and R=11 Omega)`, a variable emf source `(V=V_(0) sin omega t)` of `V_(rms)=220V` and frequency 50 Hz is applied. Find the current amplitude in the circuit and phase of current with respect to voltage. Draw current-time graph on given graph `(pi=22/7)`.

Answer

A, B, D

Explanation

Given, `V_(max)=200V`
`v=50 Hz, L=35 mH,R=11(omega)`
Impednce
`Z= sqrt(omega L^(2)+(R^2))=11sqrt(2)(omega)`
also, `(I_0)=(V_0)/(Z)`
`(V_0)-V_(max) sqrt(2) :. (I_0)=(V_(max)sqrt(2))/(Z)=20A`
`cos(phi)=R/Z=1/(sqrt(2)) :. (phi)=(pi)/(4)`
`:. graph is given by `
.