A 5.0-cm by 7.0-cm rectangular coil has 100 turns. Its axis makes an angle of 65° with a uniform magnetic field of 0.55 T. What is the magnetic flux through this coil?

0.0814 Wb

Explanation:

L = length of the rectangular coil = 5 cm = 0.05 m

w = width of rectangular coil = 7 cm = 0.07 m

A = Area of the coil = L w = 0.05 x 0.07 = 35 x 10⁻⁴ m²

B = magnitude of uniform magnetic field = 0.55 T

θ = angle of axis of coil with magnetic field = 65°

Magnetic flux through the coil is given as

Φ = N B A Cosθ

Φ = (100) (0.55) (35 x 10⁻⁴) Cos65

Φ = 0.0814 Wb