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

Question

A coil of inductive reactance 1/ √3 Ω and resistance 1 Ω is connected to a 200 V, 50 Hz A.C. supply. The time lag between maximum voltage and current is (A) (1/300) s (B) (1/600) s (C) (1/500) s (D) (1/200) s

Tardigrade Admin · Accepted Answer

tanφ = (wL/R) = (1/√3) ⇒ φ = 30 ω t = (π/6) ⇒ t = (π/2π (50)(6)) = (1/600) S

Q. A coil of inductive reactance $1/ 3 Ω$ and resistance $1 Ω$ is connected to a $200 V$ , $50 Hz A . C .$ supply. The time lag between maximum voltage and current is

$\frac{1}{300} s$

$\frac{1}{600} s$

$\frac{1}{500} s$

$\frac{1}{200} s$

$tan ϕ = \frac{w L}{R} = \frac{1}{3}$
$\Rightarrow ϕ = 30$
$ω t = \frac{π}{6}$
$\Rightarrow t = \frac{π}{2 π ( 50 ) ( 6 )}$
$= \frac{1}{600} S$

Q. A coil of inductive reactance 1/3​Ω and resistance 1Ω is connected to a 200V, 50HzA.C. supply. The time lag between maximum voltage and current is

3001​s

6001​s

5001​s

2001​s