First slide

Magnetic flux and induced emf

Question

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

Moderate

A

2.28 V
B

4.28 V
C

6.28 V
D

2.5 V

Solution

$\begin{array}{l} e = \frac{1}{2} {Bl}^{2} ω = {Bl}^{2} πv \\ \Rightarrow e = 0 .5 {(20 \times 10^{- 2})}^{2} \times 3 .14 \times 100 = 6 .28 V \end{array}$

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