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Question: A rod of length 20 cm is rotating with angular speed of 100 rps in a magnetic field of strength 0.5 ...

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

Answer

6.28 V

Explanation

Solution

e=12Bl2ω=Bl2πνe = \frac{1}{2}Bl^{2}\omega = Bl^{2}\pi\nu

e=0.5(20×102)2×3.14×100=6.286muV\Rightarrow e = 0.5(20 \times 10^{- 2})^{2} \times 3.14 \times 100 = 6.28\mspace{6mu} V