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Question

Physics Question on Electromagnetic induction

A long solenoid of diameter 0.1 m has 2 × 104 turns per meter. A coil of 100 turns and radius 0.01 m is placed with its axis coinciding with the solenoid axis.The current in the solenoid reduces at a constant rate to 0 A from 4 A in 0.05s .If the resistance of the coil is 10π2Ω, then the total charge flowing through the coil during this time is ______.
Fill in the blank with the correct answer from the options given below.

A

16 µC

B

32 µC

C

16π µC

D

32π µC

Answer

32π µC

Explanation

Solution

By applying Faraday's law and using the rate of change of current and magnetic flux, the total charge through the coil is 32π µC.