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Physics Part-I

Electromagnetic Induction

A square loop of side 10 {~cm} and resistance 0.5 is placed v

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

Chapter 5: Magnetism and Matter

36 questions

Chapter 6: Electromagnetic Induction

28 questions

(a) What would you do to obtain a large deflection of the galvanometer? (b) How would you demonstrate the presence of an induced current in the absence of a galvanometer?

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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Chapter 7: Alternating Current

37 questions

Chapter 8: Electromagnetic Waves

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Question

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Solving time: 3 mins

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.

Views: 6,144 students

Updated on: Feb 29, 2024

Book:

Physics Part-I (NCERT)

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Emma Discussed

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.

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

The angle

θ

made by the area vector of the coil with the magnetic field is

4 5^{\circ}

.The initial magnetic flux is

Φ = B A cos θ

= \frac{0.1 \times 1 0 ^{- 2}}{2} Wb

Final flux,

Φ_{m i n} = 0

The change in flux is brought about in

0.70 s

. the magnitude of the induced emf is given by

ε = \frac{∣ Δ Φ _{B} ∣}{Δ t} = \frac{∣ ( Φ - 0 ) ∣}{Δ t} = \frac{1 0 ^{- 3}}{2 \times 0.7} = 1.0 mV

And the magnitude of the current is

I = \frac{ε}{R} = \frac{1 0 ^{- 3} V}{0.5Ω} = 2 mA

Note that the earth's magnetic field also produces a flux through the loop. But it is a steady field (which does not change within the time span of the experiment) and hence does not induce any emf.

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Practice more questions from Physics Part-I (NCERT)

(a) What would you do to obtain a large deflection of the galvanometer? (b) How would you demonstrate the presence of an induced current in the absence of a galvanometer?

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

View all

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Question Text	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.
Updated On	Feb 29, 2024
Topic	Electromagnetic Induction
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 22
Upvotes	2326
Avg. Video Duration	6 min

Text solutionVerified

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