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Class 12 Tuition > Learn Additional Exercise 4 > Two concentric circular coils X and Y of radii 16 cm...
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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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Radius of coil X, r1 = 16 cm = 0.16 m Radius of coil Y, r2 = 10 cm = 0.1 m Number of turns of on coil X, n1 = 20 Number of turns of on coil Y, n2 = 25 Current in coil X, I1 = 16 A Current in coil Y, I2 = 18 A Magnetic field due to coil X at their centre is given by the relation, Where, = Permeability...
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Radius of coil X, r1 = 16 cm = 0.16 m Radius of coil Y, r2 = 10 cm = 0.1 m Number of turns of on coil X, n1 = 20 Number of turns of on coil Y, n2 = 25 Current in coil X, I1 = 16 A Current in coil Y, I2 = 18 A Magnetic field due to coil X at their centre is given by the relation, Where, = Permeability of free space = Magnetic field due to coil Y at their centre is given by the relation, Hence, net magnetic field can be obtained as: read less
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