A rod of length 20 cm is rotating with angular speed of 100 rps in a magnetic field of strength 0.5 T about it’s one end. What is the potential difference between two ends of the rod
(a) 2.28 V
(b) 4.28 V
(c) 6.28 V(d) 2.5 V
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Correct Answer : option c: 6.28 V
Given :
φ=BA
dφ/dt= B dA/At
=B X π L² n
=Bx π L² ω/2π
|e| =dφ/dt
=1/2 ω BL²
ω= 2π x100 rad/sec
=1/2 2π x 100 x 1/2 x( 2/10 )²
=2πX4X100/ 4X 100
=2π
=2X3.14
=6.28 v
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