SATHEE: Electro Magnetic Induction And Alternating Currents Question 346

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) $i_{2} < i_{3} < i_{1} (i_{1} \neq 0)$ (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) $i_{2} = i_{3} > i_{1} (i_{1} \neq 0)$ (ii) $i_{2} > i_{3} > i_{1}$

Show Answer

Answer:

Correct Answer: A

Solution:

Just before closing the switch.

$i_{1} = 0,$ $i_{2} = \frac{E}{R}$ , $i_{3} = \frac{E}{2 R}$ so $i_{2} > i_{3} > i_{1}$

$(i_{1} = 0)$ After a long time closing the switch Hence $i_{2} > i_{3} > i_{1}$

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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:

Answer:

Solution:

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