Q124 / 160 · AP EAMCET 2020 (23 Sep Shift 1) · Physics

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

Solution

Induced emf $e = \frac{∆ ϕ}{∆ t}$

current in coil

$i = \frac{e}{R}$

$\Rightarrow i = \frac{1}{R} \frac{∆ ϕ}{∆ t}$

charge flow

$Q = i ∆ t$

$\Rightarrow Q = \frac{1}{R} \frac{∆ ϕ}{∆ t} ∆ t$

$\Rightarrow Q = \frac{∆ ϕ}{R}$

Hence, the correct answer is option: 'D'.