First slide

Magnetic flux and induced emf

Question

A circular coil of 500 turns of wire has an enclosed area of 0.1 m² per turn. It is kept perpendicular to a magnetic field of induction 0.2 T and rotated by 180° about a diameter perpendicular to the field in 0.1 sec. How much charge will pass when the coil is connected to a galvanometer with a combined resistance of 50 ohms

Moderate

A

0.2 C
B

0.4 C
C

2 C
D

4 C

Solution

$\begin{array}{l} ΔQ = \frac{NBA}{R} (\cos θ_{1} - \cos θ_{2}) \\ = \frac{500 \times 0 .2 \times 0 .1 (\cos 0 - \cos 180)}{50} = 0 .4 C \end{array}$

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