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# A flip coil consits of N turns of circular coils which lie in a uniform magnetic field. Plane of the coils is perpendicular to the magnetic field as shown in figure. The coil is connected to a current integrator which measures the total charge passing through it. The coil is turned through 180^(@) about the diameter. The charge passing through the coil is <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/NAR_PHY_XII_V04_C01_E01_243_Q01.png" width="80%">

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Answer Text

`(NBA)/(R )``(sqrt(3) NBA)/(2R)``(NBA)/(sqrt(2)A)``(2NBA)/(R )`

Answer :
D
Solution :
Initial flux through the coil, `phi_(Bi) = +NBA` <br> Final flux through the coil, `phi_(Bi) = +NBA` <br> When the coil is turned through `180^(@)` its flux reverses, the angle between magntic field and area vector is reversed. <br> `Delta phi_(B) = phi_(Bf) - phi_(Bi) = -NBA-(NBA) = -2NBA` <br> `Q = (Delta phi_(B))/(R ) = (2NBA)/(R )`