This page focuses on the detailed Moving Charges and Magnetism question answers for Class 12 Physics Moving Charges and Magnetism, addressing the question: '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.'. The solution provides a thorough breakdown of the question, highlighting key concepts and approaches to arrive at the correct answer. This easy-to-understand explanation will help students develop better problem-solving skills, reinforcing their understanding of the chapter and aiding in exam preparation.

Question 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.

Answer

Radius of coil X, r_{1} = 16 cm = 0.16 m

Radius of coil Y, r_{2} = 10 cm = 0.1 m

Number of turns of on coil X, n_{1} = 20

Number of turns of on coil Y, n_{2} = 25

Current in coil X, I_{1} = 16 A

Current in coil Y, I_{2} = 18 A

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

Where,

µ_{0 }= Permeability of free space = 4π x 10^{-7}TmA^{-1}

Magnetic field due to coil Y at their centre is given by the relation,

Hence, net magnetic field can be obtained as:

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