If in a L-R series circuit the power factor is 1/2 and R=100Ω, then the value of L is,

If In A Lr Series Circuit The Power Factor Is Physics Question

If in a L-R series circuit the power factor is 1/2 and R=100Ω, then the value of L is, when AC mains is used

Options

(a) πH
(b) √3/π H
(c) π/√3 H
(d) √2/π H

Correct Answer:

√3/π H

Explanation:

power factor, cos ɸ = 1 / 2 ⇒ ɸ = 60°

Therefore, tan 60° = ωL / R ⇒ √3 = (2πv × L) / 100

L = [(√3 × 100) / (2π × 50)] = (√3 / π) H

Related Questions:

  1. A 50Hz AC signal is applied in a circuit of inductance of (1/π)H and resistance 2100Ω
  2. Which one of the following is not due to total internal reflection?
  3. For a given velocity, a projectile has the same range R for two angles of projection.
  4. A ball moving with velocity 2 m/s collides head on with another stationary ball
  5. The acceleration due to gravity near the surface of a planet of radius R and density d

Topics: Alternating Current (96)
Subject: Physics (2479)

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