A coil of inductive reactance `1// sqrt(3) Omega` and resistance 1 `Omega` is connected to a 200 V, 50 Hz A.C. supply. The time lag between maximum voltage and current is

Options

A. `(1)/(600)s`
B. `(1)/(200)s`
C. `(1)/(300)s`
D. `(1)/(500)s`

Answer

A

Explanation

`X_(L)= (1)/(sqrt(3))Omega, R= 1 Omega, V= 200V, upsilon= 50Hz`
In series, LR circuit, phase lag, `phi` is given by
`tanphi= (X_(L))/(R)= ((1)/(sqrt(3)))/(1)= (1)/(sqrt(3))` therefore `phi= (pi)/(6)`
`therefore 2piupsilonDeltat= (pi)/(6)` (where, `Deltat` is time lag)
`Deltat= (pi)/(6 xx 2 xx pi xx 50)= (1)/(600)s`