Question

Derive an expression of induced motional emf in a conductor doing translation

motion.​

Answer 1

Answer:

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Explanation:

Consider a metallic frame MSRN placed in a constant uniform magnetic field. Let the magnetic field B be perpendicular to the plane of the coil. Let a metal rod PQ of length 'l' placed on it be moving towards left with a velocity v as shown in the figure.

Let the distance of PQ from SR be x

ϕ  

B

​  

=BAcosθ

=Blxcos0=Blx

As the rod PQ is moving towards left with a velocity v, X is changing and  

v

=  

dt

−dx

​  

 

Hence Induced emf ∈=  

dt

−dϕ  

B

​  

 

​  

=  

dt

−d(Blx)

​  

=−Bl  

dt

dx

​  

 

⇒∈=Blv

This emf is induced in the road because of the motion of the rod in the magnetic field.

Therefore this emf is called motional emf.