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Electromagnetic Induction question

2004 · Q128
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Electromagnetic Induction question

2004 · Q128

NEETPhysicsElectromagnetic InductionMCQ+4 / −1
The magnetic flux through a circuit of resistance R changes by an amount Δ\DeltaΔϕ\phiϕ in a time Δ\DeltaΔt. Then the total quantity of electric charge Q that passes any point in the circuit during the time Δ\DeltaΔt is represented by
  1. A
    Q=1R.ΔϕΔtQ = {1 \over R}.{{\Delta \phi } \over {\Delta t}}Q=R1​.ΔtΔϕ​
  2. B
    Q=ΔϕRQ = {{\Delta \phi } \over R}Q=RΔϕ​
  3. C
    Q=ΔϕΔtQ = {{\Delta \phi } \over {\Delta t}}Q=ΔtΔϕ​
  4. D
    Q=R.ΔϕΔtQ = R.{{\Delta \phi } \over {\Delta t}}Q=R.ΔtΔϕ​
View written solutionFree

Correct answer: B

ΔϕΔt{{\Delta \phi } \over {\Delta t}}ΔtΔϕ​ = E = iR

⇒\Rightarrow⇒ Δϕ=(iΔt)R{\Delta \phi = \left( {i\Delta t} \right)R}Δϕ=(iΔt)R = QR

⇒\Rightarrow⇒ Q = ΔϕR {{\Delta \phi } \over R}RΔϕ​

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