NEET | 2017Current Electricity and Electrical InstrumentHard

Question

A long solenoid of diameter 0.1 m has 2 × 104 turns per meter. At the centre of the solenoid, 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 0A from 4 A in 0.05 s. If the resistance of the coil is 10π2Ω. the total charge flowing through the coil during this time is :

Options

A.

16 μC

B.

32 μC

C.

16 π μC

D.

32 π μC

Solution

q=∆ϕ∆t. 1R∆t
q=μ0nNπr2∆i∆t1R∆t
q=4π×10-7×2×104×100×π×(10-2)2×4.05110π2×0.05
q = 32 μC

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