Question

Derive the equation for motional emf from Lorenz force ??​

Answer 1

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✍∈ = BLV

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EXPLANATION —

Motional Emf -

Motion is one of the major causes of induction. For example, a magnet moved toward a coil induces an emf, and a coil moved toward a magnet produces a similar emf. In this section, we concentrate on motion in a magnetic field that is stationary relative to the Earth, producing what is loosely called motional emf.

Derivations —

This concept of motional emf can be explained with the help of the concept of Lorentz force acting on free charge carriers of the conductor. Let us consider any arbitrary charge q in the conductor PQ. As the rod moves with a constant speed v, the charge is also moving with a speed v in the presence of magnetic field B. The Lorentz force on this charge is given by:

F = qvB

The work done in moving the charge from P to Q can be given by,

W = QBvl

Since, emf is defined as the work done per unit charge,

∈ = wq= BVL

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Answer 2

Answer:

Explanation:

Hope it helps..