Question

Derive an expression for induced emf and induced current when a conductor of length l is moved with a uniform velocity v normal to a uniform magnetic field b.Assume the resistance of a conductor to be r

Answer 1

Explanation: According to Faraday's law, when change in magnetic flux in a conductor then, the emf induced in the conductor that means the current induced in the conductor.

Change in flux = bldx

Where, dx = small distance moved by conductor in the magnetic field

b = magnetic field

l = length of the conductor

Now, the induced emf is  

induced emf = change in flux /change in time

$emf = bl\dfrac{dx}{dt}$

$emf = blv$

Where, $\dfrac{dx}{dt} = v$

Hence, when a conductor of length l is moved with a uniform velocity v normal to a uniform magnetic field b.

Then, the induced emf is

$emf = blv$

Now, the induced current is

Current = emf/ resistance

$I = \dfrac{blv}{r}$

Hence, This is the required solution.

Answer 2

Explanation:

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