Electromagnetic Induction and Alternating Current 2 Question 1

2. A metallic rod of length l is tied to a string of length 2l and made to rotate with angular speed ω on a horizontal table with one end of the string fixed. If there is a vertical magnetic field B in the region, the emf induced across the ends of the rod is

(2013 Main)

(a) 2Bωl32

(b) 3Bωl32

(c) 4Bωl22

(d) 5Bωl22

Show Answer

Answer:

Correct Answer: 2. (d)

Solution:

  1. e=∫2l3l(ωx)Bdx=Bω[(3l)2−(2l)2]2

=5Bl2ω2

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