In a physics laboratory experiment, a coil with 200 turns enclosing an area of 12 cm2 is rotated in 0.040 s from a position where its plane is perpendicular to the earth's magnetic field to a position where its plane is parallel to the field. The earth's magnetic field at the lab location is 6.0 x 10-5 T. What is the total magnetic flux through the coil before it is rotated?

14.4 x 10⁻⁶ Wb

Explanation:

N = Number of turns in the coil = 200

A = Area enclosed by the coil = 12 cm² = 12 x 10⁻⁴ m²

B = Earth's magnetic field at the lab location = 6 x 10⁻⁵ T

Φ = total magnetic flux through the coil

Total magnetic flux through the coil before it is rotated is given as

Φ = N B A

Inserting the values

Φ = (200) (6 x 10⁻⁵) (12 x 10⁻⁴)

Φ = (1200 x 10⁻⁵) (12 x 10⁻⁴)

Φ = 14.4 x 10⁻⁶ Wb