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QJEEM17Ph7cb1: JEE Main 2017 Physics - Class 12 JEEM17Ph7cb1 Solution: In a coil of resistance 100 , a current is induced by changing…

In a coil of resistance 100 Ω\Omega , a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change in flux through the coil is:

JEE Main 2017 (Offline) Physics - Electromagnetic Induction Question 112 English

Multiple Choice Options

  • A 275 Wb
  • B 200 Wb
  • C 225 Wb
  • D 250 Wb

Step-by-Step Verified Solution

According to Faraday's law of electromagnetic induction,

ε=dϕdt\varepsilon = {{d\phi } \over {dt}}

Also, ε\varepsilon = iR

∴\therefore dϕdt{{d\phi } \over {dt}} = iR

⇒\Rightarrow ∫dϕ=R∫idt\int {d\phi } = R\int {idt}

Magnitude of change in flux (d ϕ\phi ) = R × area under current vs time graph

⇒\Rightarrow d ϕ\phi = 100×12×12×10100 \times {1 \over 2} \times {1 \over 2} \times 10 = 250 Wb

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