In an AC circuit, the reactance of a coil is √3 times its resistance. The phase difference between the voltage across the coil to the current through the coil will be

Question

In an AC circuit, the reactance of a coil is √3 times its resistance. The phase difference between the voltage across the coil to the current through the coil will be (A) π / 3 (B) π / 2 (C) π / 4 (D) π / 6

Tardigrade Admin · Accepted Answer

tan φ=(XL/R)=(√3 R/R)=√3 ⇒ φ=60°=π / 3

Q. In an $A C$ circuit, the reactance of a coil is $3$ times its resistance. The phase difference between the voltage across the coil to the current through the coil will be

$π /3$

$π /2$

$π /4$

$π /6$

$tan ϕ = \frac{X _{L}}{R} = \frac{3 R}{R} = 3$
$\Rightarrow ϕ = 6 0^{\circ} = π /3$

Q. In an AC circuit, the reactance of a coil is 3​ times its resistance. The phase difference between the voltage across the coil to the current through the coil will be

π/3

π/2

π/4

π/6