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A long solenoid of diameter 0.1 m has 2 x 104 turns per meter. At the centre of the solenoid, a coil of 100 turns and radius 0.0 I m is placed with its axis coinciding with the solenoid axis. The current in the solenoid reduces at a constant rate to OA from 4A in 0.05 s. If the resistance of the coil is 10π2Ω. The total charge flowing through the coil during this time is :

a
16 μC
b
32μC
c
16πμC
d
32 πμC

detailed solution

Correct option is B

q=∆ϕ∆t.1R∆t q=μ0nNπr2∆i∆t1R∆t q=4π x 10-7 x 2 x 104 x 100 x π x (10-2)2 x 40.05110π2 x 0.05 q=32μC

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