A coil of 0.01 henry inductance and 1`Omega` resistance is connected to 200 V, 50 Hz ac supply. Find the impedance of the circuit and time lag between max. alternating voltage and current.

Explanation

Here , L=0.01 H, R=1 `Omega` ,V=200 V
Frequency v=50 Hz
Impendance of the circuit ,
`Z=sqrt(R^2+X_L^2)=sqrt(R^2+(2pivL)^2)`
`therefore Z=sqrt((1)^2+(2xx3.14xx50xx0.01)^2)`
`=sqrt(1+9.8596)=sqrt(10.8596)`
`therefore Z=3.295 Omega`
`therefore Z approx 3.3 Omega`
`tan phi =(omegaL)/R=(2pivL)/R`
`therefore tan phi=(2xx3.14xx50xx0.01)/1`
`therefore tan phi =3.14`
`therefore phi = tan^(-1) (3.14)`
`therefore phi =72^@`
`=(72xxpi)/180` rad
Phase difference ,
`phi=omegaDeltat`
`therefore Deltat=phi/omega=(72pi)/(180xx2pivL)=72/(360xx50xx0.01)`
`therefore Deltat=1/250` s