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A circular coil of radius $r = 0.1 \text{ m}$ and $N = 500$ turns is placed in a uniform magnetic field $B = 0.5 \text{ T}$ such that the plane of the coil is perpendicular to the field. If the coil is rotated by $180^\circ$ about its diameter in $\Delta t = 0.2 \text{ s}$, what is the average induced electromotive force $\varepsilon$ in the coil?
- A.$1.57 \text{ V}$
- B.$3.14 \text{ V}$
- C.$0.785 \text{ V}$
- D.$6.28 \text{ V}$
Show correct answer & step-by-step solution
Correct answer: A — $1.57 \text{ V}$
Solution
The change in magnetic flux is . Using Faraday's law, .
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