A coil of area 0 . 15 m 2 and 50 turns is normal to a magnetic field which changes from 5 × 10 - 3 to 2 × 10 - 3 ~ 3 Wb m - 2 in 30 ms. Compute the emf induced in the coil.

Change in flux ∆ ϕ = B 2 - B 1 A A s C o s θ = 1 = ( 2 - 5 ) × 10 - 3 × 0 . 15 = - 0 . 45 × 10 - 3 E = - N d ϕ d t = + 50 × 0 . 45 × 10 - 3 30 × 10 - 3 Answer: 0 . 75 V

A closed copper coil of area 1 . 0 m 2 placed perpendicular to a magnetic field of 0 . 10 T is rotated through 180 ° in 0 . 01 s . Find the induced emf and induced current in the coil whose resistance is 2 . 0 Ω . If the coil is open somewhere, then what will be the emf and the current?

(i) When the coil is closed. E = - N d ϕ d t = + 1 × 2 × 0 . 10 × 1 0 . 01 = 20 V 1 = E R = 20 2 = 10 A Ans: E = 20 V I = 10 A (ii) When the coil is open, E = 20 V I = 0 is the coil is open circuit.

A coil of area 500 cm 2 and 2000 turns is kept normal to a magnetic field of 4 × 10 - 5 Wb m - 2 . It is rotated through 180 ° in 0 . 1 s . (i) Calculate the average induced emf.

E = - N d ϕ d t = + 2 N B A d t = + 2 × 2000 × 4 × 10 - 5 × 500 × 10 - 4 0 . 1 = 80 × 10 - 3 Answer: E = 80 mV = 0 . 08 V .

A coil of area 500 cm 2 and 2000 turns is kept normal to a magnetic field of 4 × 10 - 5 Wb m - 2 . It is rotated through 180 ° in 0 . 1 s . (ii) If the total resistance of the circuit be 20 Ω , calculate the induced charge.

Q i n d = I i n d × Δ t = E R . ∆ t = 80 × 10 - 3 × 0 . 1 20 = 0 . 4 mC Ans: Induced charge = 4 × 10 - 4 C = 0 . 4 mC

What are eddy currents?

Eddy currents : (Also called Foucault's Currents) Eddy currents are the loop of electrical currents induced within the conductors by magnetic field in the conductor, and it is perpendicular to magnetic field, as per Faraday's law of induction.

How does the self-inductance of a coil depend on the number of turns of the coil?

Self-inductance(L) of a coil depend on the number of turns(N) of the coil. Where self inductance is directly proportional to square of the number of turns. L ∝ N 2 . Here self inductance is represented by L, and Number of turn is represented by N.

MEDIUM

12th ICSE

IMPORTANT

Earn 100

The area enclosed by a circular coil of $2000$ turns is $10 {cm}^{2}$ . Its plane is kept perpendicular to a magnetic field of $0.3 Wb m^{- 2}$ and is rotated through $180 °$ .
Calculate the change in magnetic flux.

Important Questions on Electromagnetic Induction

EASY

12th ICSE

IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 11 - Electromagnetic Induction>QUESTIONS>Q 2

The magnetic flux through a coil of

50

turns changes from

0.3 Wb

to zero in

1

second. Calculate the induced emf across the two ends of the coil.

EASY

12th ICSE

IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 11 - Electromagnetic Induction>QUESTIONS>Q 3

A coil of area

0.5 m^{2}

and having

100

turns is placed perpendicular to a magnetic field of

0.04 Wb m^{- 2}

. If the coil is suddenly removed away from the field in

0.01

second, calculate the average emf Induced in the coil.

EASY

12th ICSE

IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 11 - Electromagnetic Induction>QUESTIONS>Q 4

A coil of area

0.15 m^{2}

and

50

turns is normal to a magnetic field which changes from

5 \times 10^{- 3}

2 \times 10^{- 3 ~ 3} Wb m^{- 2}

in 30 ms. Compute the emf induced in the coil.

EASY

12th ICSE

IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 11 - Electromagnetic Induction>QUESTIONS>Q 5

A ring of radius

10 cm

and resistance

2 Ω

is placed in a uniform magnetic field which is perpendicular to the plane of ring. If the magnetic field is decreasing at the rate of

0.1 {Ts}^{- 1}

, find the values of induced emf and induced current in the ring.

EASY

12th ICSE

IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 11 - Electromagnetic Induction>QUESTIONS>Q 6

28

turn coil with average diameter of

0.02 m

is placed perpendicular to a magnetic field of

8000 T

. If the field changes to

3000 T

4 s

, what is the magnitude of the induced emf?

(π = 22 / 7)

EASY

12th ICSE

IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 11 - Electromagnetic Induction>QUESTIONS>Q 7

A closed copper coil of area

1.0 m^{2}

placed perpendicular to a magnetic field of

0.10 T

is rotated through

180 °

0.01 s

. Find the induced emf and induced current in the coil whose resistance is

2.0 Ω

. If the coil is open somewhere, then what will be the emf and the current?

EASY

12th ICSE

IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 11 - Electromagnetic Induction>QUESTIONS>Q 8

A coil of area

500 {cm}^{2}

and

2000

turns is kept normal to a magnetic field of

4 \times 10^{- 5} Wb m^{- 2}

. It is rotated through

180 °

0.1 s

. (i) Calculate the average induced emf.

MEDIUM

12th ICSE

IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 11 - Electromagnetic Induction>QUESTIONS>Q 8

A coil of area $500 {cm}^{2}$ and $2000$ turns is kept normal to a magnetic field of $4 \times 10^{- 5} Wb m^{- 2}$ . It is rotated through $180 °$ in $0.1 s$ .

(ii) If the total resistance of the circuit be $20 Ω$ , calculate the induced charge.

The area enclosed by a circular coil of 2000 turns is 10 cm2. Its plane is kept perpendicular to a magnetic field of 0.3 Wb m-2 and is rotated through 180°. Calculate the change in magnetic flux.

Important Questions on Electromagnetic Induction

Learn and Prepare for any exam you want !

The area enclosed by a circular coil of $2000$ turns is $10 {cm}^{2}$ . Its plane is kept perpendicular to a magnetic field of $0.3 Wb m^{- 2}$ and is rotated through $180 °$ .
Calculate the change in magnetic flux.