Question

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

• A. $Q=\frac{1}{R}.\frac{Δ\phi}{Δt}$
• B. $Q=\frac{Δ\phi}{R}$
• C. $Q=\frac{Δ\phi}{Δt}$
• D. $Q=R.\frac{Δ\phi}{Δt}$

Answer 1

Answer: (B)

$Q=\frac{Δ\phi}{R}$

Answer 2

As, e = $| {ΔΦ \over Δt} |$

Currentor I = e/R = ΔΦ​/RΔt

So, charge Q = IΔt

= ΔΦ​/RΔt . Δt

= ΔΦ/R

Therefore, option B is the correct answer.