4.14 Two concentric circular coils X and Y of radii 16 cm and 10 cm, respectively, lie in the same vertical plane containing the north to south direction. Coil X has 20 turns and carries a current of 16 A; coil Y has 25 turns and carries a current of 18 A. The sense of the current in X is anticlockwise, and clockwise in Y, for an observer looking at the coils facing west. Give the magnitude and direction of the net magnetic field due to the coils at their centre.

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8 months ago

4.14 For coil X:

Radius, r 1 = 16 cm = 0.16 m

Number of turns, n 1 = 20

Current, I 1 = 16 A

For coil Y:

Radius, r 2 = 10 cm = 0.10 m

Number of turns, n 2 = 25

Current, I 2 = 18 A

Magnetic field due to coil X at their centre is given by the relation:

B 1 = μ 0 n 1 I 1 2 r 1 , where = Permeability of free space = 4 π * 10 - 7 T m A - 1
B 1 = 4 π * 10 - 7 * 20 * 16 2 * 0.16 = 1.257 * 10 - 3 T (to

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Physics Ncert Solutions Class 12th 2023

Physics Ncert Solutions Class 12th 2023

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