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

Options

  1. AQ = 1 R Δ ϕ Δ t
  2. BQ = Δ ϕ R
  3. CQ = Δ ϕ Δ t
  4. DQ = R Δ ϕ Δ t

Correct answer

B. Q = Δ ϕ R

Step-by-step solution

Induced emf is given by ε = Δ ϕ Δ t Current, I = Q Δ t = Δ ϕ Δ t × 1 R [where Q is total charge passed in time Δ t ] ⇒ Q = Δ ϕ R

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