In a circuit, L,C and R are connected in series with an alternating voltage source

In a circuit, L,C and R are connected in series with an alternating voltage source of frequency f. The current leads the voltage by 45⁰. The value of C is

Options

(a) 1/πf(2πfL+R)
(b) 1/πf(2πfL-R)
(c) 1/2πf(2πfL-R)
(d) 1/2πf(2πfL+R)

Correct Answer:

1/2πf(2πfL+R)

Explanation:

The phase difference ɸ between current and voltage is given by

tan ɸ = (Xʟ – Xc) / R

(Xʟ – Xc) / R = tan 45° = 1 ⇒ Xc = X⇒ + R

1 / 2πfC = 2πfL + R

Therefore, C = 1 / 2πf(2πfL + R)

admin:

Related Questions

  1. B is doped in Si or Ge, then we will get
  2. Three identical spheres, each of mass 3 kg are placed touching each other
  3. The magnetic field at a point on the axis of a long solenoid having 5 turns per cm
  4. To observed diffraction, the size of the obstacle
  5. A cylindrical capacitors has charge Q and length L. If both the charge and length