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Physics Part-I

Moving Charges and Magnetism

Two concentric circular coils X and Y of radii 16 cm and 10 cm

Physics Part-I

Class 12

NCERT

Chapter 1: Electric Charges and Fields

47 questions

Chapter 2: Electrostatic Potential and Capacitance

46 questions

Chapter 3: Current Electricity

33 questions

Chapter 4: Moving Charges and Magnetism

41 questions

(a) A circular coil of 30 turns and radius 8.0 cm carrying a current of 6.0 A is suspended vertically in a uniform horizontal magnetic field of magnitude 1.0 T. The field lines make an angle of

6 0^{\circ}

with the normal of the coil. Calculate the magnitude of the counter torque that must be applied to prevent the coil from turning.

(b) Would your answer change, if the circular coil in (a) were replaced by a planar coil of some irregular shape that encloses the same area? (All other particulars are also unaltered.)

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.

A magnetic field of 100 G (1 G = 10

^{- 4}

T) is required which is uniform in a region of linear dimension about 10 cm and area of cross-section about

1 0^{- 3} m^{2}

. The maximum current-carrying capacity of a given coil of wire is 15 A and the number of turns per unit length that can be wound round a core is at most 1000 turns

m^{- 1}

. Suggest some appropriate design particulars of a solenoid for the required purpose. Assume the core is not ferromagnetic.

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Chapter 5: Magnetism and Matter

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Chapter 8: Electromagnetic Waves

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Question

Medium

Solving time: 4 mins

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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Updated on: Feb 24, 2024

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Physics Part-I (NCERT)

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Text solutionVerified

For coil

X

,
Radius

R_{1} == 0.16 m

n_{X} = 20, I_{X} = 16 A

For coil Y, Radius

R_{2} = 0.1 m

n_{Y} = 25. I_{Y} = 18 A

Magnetic field at the center of

X

B_{X} = B_{X} = \frac{μ _{0}}{4 π} \frac{2 I _{x} π mx}{R _{x}} = \frac{1 0 ^{- 7} \times 2 \times 16 \times 3.14 \times 20}{0.16} = 12.56 \times 1 0^{- 4} T

Magnetic field at center of coil Y,

B_{Y} = 28.26 \times 1 0^{- 4} T = \frac{μ _{0}}{4 π} \frac{2 I _{Y} Tn Y}{R _{Y}} = \frac{1 0 ^{- 7} \times 3.14 \times 18 \times 25}{0.1}

From Maxwell's right hand rule,

B_{x}

is towards right (East direction)
From Maxwell's right hand rule,

B_{Y}

is towards left (West direction) Hence, net magnetic field at the center,

B_{Y} - BX = (28.26 - 12.56) \times 1 0^{- 4} T = 15.7 \times 1 0^{- 4} T

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Practice more questions from Physics Part-I (NCERT)

(a) A circular coil of 30 turns and radius 8.0 cm carrying a current of 6.0 A is suspended vertically in a uniform horizontal magnetic field of magnitude 1.0 T. The field lines make an angle of

6 0^{\circ}

with the normal of the coil. Calculate the magnitude of the counter torque that must be applied to prevent the coil from turning.

(b) Would your answer change, if the circular coil in (a) were replaced by a planar coil of some irregular shape that encloses the same area? (All other particulars are also unaltered.)

A magnetic field of 100 G (1 G = 10

^{- 4}

T) is required which is uniform in a region of linear dimension about 10 cm and area of cross-section about

1 0^{- 3} m^{2}

. The maximum current-carrying capacity of a given coil of wire is 15 A and the number of turns per unit length that can be wound round a core is at most 1000 turns

m^{- 1}

. Suggest some appropriate design particulars of a solenoid for the required purpose. Assume the core is not ferromagnetic.

View all

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Question Text	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.
Updated On	Feb 24, 2024
Topic	Moving Charges and Magnetism
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 3
Upvotes	342
Avg. Video Duration	11 min

Text solutionVerified

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