Question

In a uniform magnetic field of induction B a wire in the form of a semicircle of radius r rotates about the diameter of the circle with angular frequency w. The axis of rotation is perpendicular to the field. If the total resistance of the circuit is R, the mean power generated per period of rotation is :

1. Bπr²w/2R

2. (Bπr²w)²/8R

3. (Bπrw)²/2R

4. (Bπrw²)²/8R

Answer 1

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Options 4. (Bπrw²)²/8R is right Answer

Conclusion :

Given that :

Uniform magnetic field of induction = B

Radius = r

Frequency = ω

The axis of rotation is perpendicular to the field

Total resistance of the circuit = R

Diameter of the circle = ?

Mean power generated per period of rotation = ?

The flux associated with coil of area A and magnetic induction B is Q = BA cosθ = 1/2 (Bπrw²)

Answer 2

Explanation:

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