Electromagnetic Induction

JEE Main level, single correct, medium

44 of 153

Question 44 of 153

Magnetic flux through a coil of resistance 10Ω10 \Omega is changed by Δϕ\Delta \phi in 0.1 s0.1 \mathrm{~s}. The resulting current in the coil varies with time as shown in the figure. Then ∣Δϕ∣|\Delta \phi| is equal to (in weber)

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Answer: (C) 2

 As e=ΔϕΔt or Ri=ΔϕΔt(∵e=Ri)⇒Δϕ=R(i.Δt)=R× area under i−t graph =10×12×4×0.1=2 weber \text { As } \begin{aligned} e=\frac{\Delta \phi}{\Delta t} & \text { or } R i=\frac{\Delta \phi}{\Delta t} \quad(\because e=R i) \\ \Rightarrow \quad \Delta \phi & =R(i . \Delta t) \\ & =R \times \text { area under } i-t \text { graph } \\ = & 10 \times \frac{1}{2} \times 4 \times 0.1=2 \text { weber } \end{aligned}

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