First slide

Faraday's law of Electromagnetic induction

Question

If a coil of 40 turns and area 4 cm² is suddenly removed from a magnetic field, it is observed that a charge of $2.0 \times 10^{- 4} C$ flows into the coil. If the resistance of the coil is $80 Ω,$ the magnetic flux density in Wb/m² is

Moderate

A

0.5
B

1.0
C

1.5
D

2.0

Solution

$ΔQ = \frac{Δϕ}{R} = \frac{n \times BA}{R}$
$\Rightarrow B = \frac{ΔQ \cdot R}{nA} = \frac{2 \times 10^{- 4} \times 80}{40 \times 4 \times 10^{- 4}} = 1 Wb / m^{2}$

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