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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Electromagnetic Induction

NTA Abhyas 2020 · Physics · Electromagnetic Induction

The magnetic flux through a circuit of resistance R changes by an...

The magnetic flux through a circuit of resistance R\text{R} changes by an amount Δϕ\Delta ϕ in a time Δt\Delta \text{t}. Then the total quantity of electric charge Q\text{Q}, that passes through any point in the circuit during this Δt\Delta \text{t} time is, represented by

Options

  1. A\text{Q} = \dfrac{1}{\text{R}} \dfrac{Δ ϕ}{Δ \text{t}}
  2. BQ=ΔϕR\text{Q} = \dfrac{\Delta ϕ}{\text{R}}
  3. C\text{Q} = \dfrac{Δ ϕ}{Δ \text{t}}
  4. D\text{Q} = \text{R} \dfrac{Δ ϕ}{Δ \text{t}}

Correct answer

B. Q=ΔϕR\text{Q} = \dfrac{\Delta ϕ}{\text{R}}

Step-by-step solution

Induced emf is given by ε=ΔϕΔtε = \dfrac{\Delta ϕ}{\Delta \text{t}}

Current, I=QΔt=ΔϕΔt×1R\text{I} = \dfrac{\text{Q}}{\Delta \text{t}} = \dfrac{\Delta ϕ}{\Delta \text{t}} \times \dfrac{1}{\text{R}} [where QQ is total charge passed in time Δt\Delta \text{t}]

⇒Q=ΔϕR⇒ \text{Q} = \dfrac{\Delta ϕ}{\text{R}}
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