SATHEE: Electromagnetic Induction

Electromagnetic Induction - Result Question 15

15. 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 any point in the circuit during the time $Δ t$ is represented by

[2004]

(a) $Q = R \cdot \frac{Δ ϕ}{Δ t}$

(b) $Q = \frac{1}{R} \cdot \frac{Δ ϕ}{Δ t}$

(c) $Q = \frac{Δ ϕ}{R}$

(d) $Q = \frac{Δ ϕ}{Δ t}$

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Answer:

Correct Answer: 15. (c)

Solution:

(c) $\frac{Δ ϕ}{Δ t} = ε = i R \Rightarrow Δ ϕ = (i Δ t) R = Q R$

$\Rightarrow Q = \frac{Δ ϕ}{R}$

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Electromagnetic Induction - Result Question 15

15. 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

Answer:

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15. 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 any point in the circuit during the time $Δ t$ is represented by