A flat circular coil 16 turns, each of diameter 20 cm, is in a uniform and steady 0.13-T magnetic field. a) Find the total magnetic flux through the coil when the field is perpendicular to the plane of the coil. A) 0.13 T middot m^2 B) 0.032 T middot m^2 C) 0.00032 T middot m^2 D) 0.065 T middot m^2 E) 0.00065 T middot m^2 If the coil is rotated in 10 ms so its plane is parallel to the field, find the average induced e in the coil. A) 6500 V B) 6.5 V C) 13000 V D) 13 V E) 3.2 V

A. 0.065 Tm² (Option D)

B. 6.5 V (Option B)

Explanation:

Parameters given:

Number of turns, N = 16

Diameter = 20 cm = 0.2m

Radius, R = 0.1m

Magnetic field, B = 0.13 T

Time taken for rotation, t = 10 ms = 0.01 secs

A. Magnetic flux is given as:

Φ = N * B * A * cosθ

θ = 0 (field is perpendicular to the plane)

Φ = 16 * 0.13 * 3.142 * 0.1² * cos0

Φ = 0.065 Tm²

B. Induced EMF is given as:

E = (N * B * A) / t

E = (16 * 0.13 * 3.142 * 0.1²) / 0.01

E = 6.5 V

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