A square loop PQRS having 10 turns, area and resistance 100 is slowly and uniformly being pulled out of a uniform magnetic field of magnitude B = 0.5 T as shown. Work done in pulling the loop out of the field in 1.0 s is

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Solution

Q.
A square loop PQRS having 10 turns, area $3.6 \times 10^{- 3} m^{2}$ and resistance 100 $Ω$ is slowly and uniformly being pulled out of a uniform magnetic field of magnitude B = 0.5 T as shown. Work done in pulling the loop out of the field in 1.0 s is ___ $\times 10^{- 6} J$ . [2024]

Ans.
(3)

$W = heat loss$

$= \frac{Δ ϕ^{2}}{R Δ t} = \frac{{(3.6 \times 10^{- 3} \times 0.5 \times 10)}^{2}}{100 \times 1}$

$= \frac{18^{2}}{100} \times 10^{- 6} = 3.24 \times 10^{- 6} J$

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