Electro Magnetic Induction And Alternating Currents Question 355

Question: The magnetic flux through a circuit of resistance $ R $ changes by an amount $ \Delta \varphi $ in time $ \Delta t $ , Then the total quantity of electric charge $ Q $ , which passing during this time through any point of the circuit is given by [Haryana CEE 1996; CBSE PMT 2004]

Options:

A) $ Q=\frac{\Delta \varphi }{\Delta t} $

B) $ Q=\frac{\Delta \varphi }{\Delta t}\times R $

C) $ Q=-\frac{\Delta \varphi }{\Delta t}+R $

D) $ Q=\frac{\Delta \varphi }{R} $

Show Answer

Answer:

Correct Answer: D

Solution:

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

Þ $ \ dq=\frac{d\varphi }{R} $



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