First slide

Magnetic flux and induced emf

Question

The magnetic flux through a circuit of resistance R changes by an amount $Δϕ$ in time $Δt$ , Then the total quantity of electric charge Q, which passing during this time through any point of the circuit is given by

Moderate

A

$Q = \frac{Δϕ}{Δt}$
B

$Q = \frac{Δϕ}{Δt} \times R$
C

$Q = - \frac{Δϕ}{Δt} + R$
D

$Q = \frac{Δϕ}{R}$

Solution

We know that $e = \frac{dϕ}{dt}$
But e=iR and $i = \frac{dq}{dt} \Rightarrow \frac{dq}{dt} R = \frac{dϕ}{dt} \Rightarrow dq = \frac{dϕ}{R}$

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