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Question: At a place the value of horizontal component of the earth’s magnetic field H is 3 × 10<sup>–5</sup>w...

At a place the value of horizontal component of the earth’s magnetic field H is 3 × 10–5weber/m2. A metallic rod AB of length 2 m placed in east-west direction, having the end A towards east, falls vertically downwards with a constant velocity of 50 m/s. Which end of the rod becomes positively charged and what is the value of induced potential difference between the two ends

A

End A, 3 × 10–3Mv

B

End A, 3 Mv

C

End B, 3 × 10–3Mv

D

End B, 3 Mv

Answer

End A, 3 Mv

Explanation

Solution

According to Flemings right hand rule direction of induced current in rod AB is from B to A i.e. end A becomes positively charged. i.e. end A becomes positively charged.

emf induces across the ends of the rod

e = Hvl = 3 × 10–5 × 50 × 2 = 3 × 10–3 volt = 3mV.