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The magnetic flux through a circuit of resistance R changes by an amount Δϕ in a time Δt. Then the total quantity of electric charge Q that passes any point in the circuit during the time Δt is represented by
- Q = R Δϕ / Δt
- Q = 1 / R Δϕ / Δt
- Q = Δϕ / R
- Q = Δϕ / Δt
Correct answer: Q = Δϕ / R
Solution
The induced emf is given by Faraday's law as E = Δϕ / Δt. Using Ohm's law, the current I = E / R = (Δϕ / Δt) / R. The total charge Q is then Q = I × Δt = Δϕ / R.
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