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Magnetic field and Voltage induced

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1. The rectangular loop in the figure above moves towards the long straight wire with a velocity v. If a current I flows through the wire, what is the voltage induced in the loop when the coil is a distance b from the wire in terms of L, I, v, a and b? How to evaluates the values I = 5A, a = 2cm, b = 2cm, L = 5cm and v = 2ms-1.

2. A circular coil of radius 5mm and containing 500 turns has a resistance of 50Ω. The coil is placed in a magnetic field of 1.5T with the field direction normal to the plane of the coil. If the coil is rotated through 180° How do we calculate the total charge which flows through the coil. (Assume that the resistance of any external device connected across the coil is negligible).

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1. The rectangular loop in the figure above moves towards the long straight wire with a velocity v. If a current I flows through the wire, what is the voltage induced in the loop when the coil is a distance b from the wire in terms of L, I, v, a and b? How to evaluates the values I = 5A, a = 2cm, b = 2cm, L = 5cm and v = 2ms-1.

The magnitude of the magnetic field at a distance r from a long wire carrying current I is given by

And the direction of this field at a point is normal to the plane passing through the point and the wire.

As the field is not directly proportional to the distance r, to find the flux through the loop we have to use calculus.

Consider a thin strip element of loop area of length L and ...

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