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Q.

Magnetic field at origin is 2k^ tesla. Which of the following current distribution could have caused it?

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a

A current flowing on a plane parallel to xy plane. The current is flowing in +ve x direction. Current /length = π4×107 A/m.

b

Current flowing in circular loop in xy plane centered at origin current is flowing anticlockwise as seen from +ve z direction. i=100 A, radius=π×105 m.

c

Current of 107A flowing in an infinite wire kept along line x=+1. Current flowing in +ve y
direction

d

Current of 1042π flowing in a solenoid of having 1000 turns/m. The axis of solenoid is z axis.

answer is B, C, D.

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Detailed Solution

Question Image

(1)  B = μ0k2j^ 

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(2) B = μ0i2R = 4π×10-7×1002×π×10-5 = 2k^

Question Image

(3) B = μ0i2πx = 4π×10-7×1002×π×10-5 = 2k^

Question Image

(4) B = μ0ni = 4π×10-7×1000×1042π = 2k^

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