Question

State Lenj's law for electromagnetic induction. Derive an expression for induced emf in rectangular coil moving perpendicular to uniform magnetic field with uniform Velocity. Draw necessary diagram. class 12th
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Answer 1

Answer:

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Answer 2

Lenz`s law states that the direction of the current induced in a conductor by a changing magnetic field is such that the magnetic field created by the induced current opposes the initial changing magnetic field.

• Expression for induced emf:

• Let a rectangular coil PQRS move in a uniform magnetic field such that velocity (V) of the coil is perpendicular to the field (B).  

• ϕ=B.PQ.QR  (PQ.QR=area of loop)

• When the loop enters the magnetic field, the net magnetic flux ϕ through area PQRS changes with time. This induces an emf in the loop.

• ε=$-\frac{d\phi}{dt}$= $-\frac{d}{dt} B.PQ.QR$ = $B.PQ.\frac{dQR}{dt}$= B. PQ.V

(Here, PQ is the length of the loop. Let PQ=L)

Hence, motional emf=BVL