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Physics Part-I

Electromagnetic Induction

A circular coil of radius 10 {~cm}, 500 turns and resistance 2

Physics Part-I

Class 12

NCERT

Chapter 1: Electric Charges and Fields

47 questions

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33 questions

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28 questions

A square loop of side

10 cm

and resistance

0.5Ω

is placed vertically in the east-west plane. A uniform magnetic field of

0.10 T

is set up across the plane in the north-east direction. The magnetic field is decreased to zero in

0.70 s

at a steady rate. Determine the magnitudes of induced emf and current during this time-interval.

A circular coil of radius

10 cm, 500

turns and resistance

2Ω

is placed with its plane perpendicular to the horizontal component of the earth's magnetic field. It is rotated about its vertical diameter through

18 0^{\circ}

0.25 s

. Estimate the magnitudes of the emf and current induced in the coil. Horizontal component of the earth's magnetic field at the place is

3.0 \times 1 0^{- 5} T

Figure shows planar loops of different shapes moving out of or into a region of a magnetic field which is directed normal to the plane of the loop away from the reader. Determine the direction of induced current in each loop using Lenz's law.

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Chapter 7: Alternating Current

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Chapter 8: Electromagnetic Waves

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Question

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Solving time: 3 mins

A circular coil of radius $10 cm, 500$ turns and resistance $2Ω$ is placed with its plane perpendicular to the horizontal component of the earth's magnetic field. It is rotated about its vertical diameter through $18 0^{\circ}$ in $0.25 s$ . Estimate the magnitudes of the emf and current induced in the coil. Horizontal component of the earth's magnetic field at the place is $3.0 \times 1 0^{- 5} T$ .

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Updated on: Dec 6, 2023

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Physics Part-I (NCERT)

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A circular coil of radius

10 cm, 500

turns and resistance

2Ω

is placed with its plane perpendicular to the horizontal component of the earth's magnetic field. It is rotated about its vertical diameter through

18 0^{\circ}

0.25 s

. Estimate the magnitudes of the emf and current induced in the coil. Horizontal component of the earth's magnetic field at the place is

3.0 \times 1 0^{- 5} T

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

Initial flux through the coil,

Φ_{B (inittall)} = B A cos θ

= 3.0 \times 1 0^{- 5} \times (π \times 1 0^{- 2}) \times cos 0^{\circ}

= 3 π \times 1 0^{- 7} Wb

Final flux after the rotation,

Φ_{B (final)} = 3.0 \times 1 0^{- 5} \times (π \times 1 0^{- 2}) \times cos 18 0^{\circ}

= - 3 π \times 1 0^{- 7} Wb

Therefore, estimated value of the induced emf is,

ε = N \frac{ΔΦ}{Δ t}

= 500 \times (6 π \times 1 0^{- 7}) /0.25

= 3.8 \times 1 0^{- 3} V

I = ε / R = 1.9 \times 1 0^{- 3} A

Note that the magnitudes of

ε

and

I

are the estimated values. Their instantaneous values are different and depend upon the speed of rotation at the particular instant.

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Practice more questions from Physics Part-I (NCERT)

A square loop of side

10 cm

and resistance

0.5Ω

is placed vertically in the east-west plane. A uniform magnetic field of

0.10 T

is set up across the plane in the north-east direction. The magnetic field is decreased to zero in

0.70 s

at a steady rate. Determine the magnitudes of induced emf and current during this time-interval.

A circular coil of radius

10 cm, 500

turns and resistance

2Ω

is placed with its plane perpendicular to the horizontal component of the earth's magnetic field. It is rotated about its vertical diameter through

18 0^{\circ}

0.25 s

. Estimate the magnitudes of the emf and current induced in the coil. Horizontal component of the earth's magnetic field at the place is

3.0 \times 1 0^{- 5} T

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Question Text	A circular coil of radius $10 cm, 500$ turns and resistance $2Ω$ is placed with its plane perpendicular to the horizontal component of the earth's magnetic field. It is rotated about its vertical diameter through $18 0^{\circ}$ in $0.25 s$ . Estimate the magnitudes of the emf and current induced in the coil. Horizontal component of the earth's magnetic field at the place is $3.0 \times 1 0^{- 5} T$ .
Updated On	Dec 6, 2023
Topic	Electromagnetic Induction
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 10
Upvotes	1166
Avg. Video Duration	9 min

Text solutionVerified

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