CBSE Class 12-science Answered
A metallic rod of length l is rotated at a constant angular speed ω, normal to a uniform magnetic field B. Derive an expression for the current induced in the rod, if the resistance of the rod is R.
Asked by Topperlearning User | 07 Jul, 2015, 02:33: PM
Expert Answer
The given situation can be shown as:
Let 
be the angle traced by the free end of the rod in time t. The area swept-out by the rod in time t is given as:
Since the angle between the area vector and the magnetic field vector is zero, the magnetic flux linked to this area is given as:
According to Faraday's laws of electromagnetic induction, induced emf (e) is given as
Hence, the current induced in the rod is given as:
Answered by | 07 Jul, 2015, 04:33: PM
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