Electro Magnetic Induction And Alternating Currents Question 346
Question: The Three circuits with identical batteries, inductors, and resistors. Rank the circuits according to the current through the battery (i) just after the switch is closed and (ii) a long time later, greatest first
Options:
A) (i) $ i_{2}>i_{3}>i_{1}(i_{1}=0) $ (ii) $ i_{2}>i_{3}>i_{1} $
B) (i) $ i_{2}<i_{3}<i_{1}(i_{1}\ne 0) $ (ii) $ i_{2}>i_{3}>i_{1} $
C) (i) $ i_{2}=i_{3}=i_{1}(i_{1}=0) $ (ii) $ i_{2}<i_{3}<i_{1} $
D) (i) $ i_{2}=i_{3}>i_{1}(i_{1}\ne 0) $ (ii) $ i_{2}>i_{3}>i_{1} $
Show Answer
Answer:
Correct Answer: A
Solution:
Just before closing the switch.
$ i_{1}=0, $ $ i_{2}=\frac{E}{R} $ , $ i_{3}=\frac{E}{2R} $ so $ i_{2}>i_{3}>i_{1} $
$ (i_{1}=0) $ After a long time closing the switch Hence $ i_{2}>i_{3}>i_{1} $
