In a magnetic field of 0.05T , area of a coil changes from 101 cm2 to 100 cm2 without changing the resistance which is 2Ω. What is the amount of charge that flow during this period?

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In a magnetic field of 0.05T , area of a coil changes from 101 cm² to 100 cm² without changing the resistance which is 2Ω. What is the amount of charge that flow during this period?

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Detailed Solution

Given: B = 0.5 T, R = 2Ω

Change in area of coil,

$ΔA = 101 - 100 {cm}^{2} = 10^{- 4} m^{2}$

The change in flux, Δϕ = BΔA

Charge flowing,

$q = \frac{Δϕ}{R} = \frac{ϕ_{2} - ϕ_{1}}{R} = \frac{B [A_{2} - A_{1}]}{R}$

$∴ q = \frac{5 \times 10^{- 6}}{2} = 2.5 \times 10^{- 6} C$

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