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} $
