A coil of area 0 .04 m 2 having 1000 turns is suspended perpendicular to a magnetic field of 5 . 0 × 10 - 5 Wb m - 2 . It is rotated through 90 ° in 0 . 2 s . Calculate the average emf induced in it.

Given, Number of turns in the coil N = 1000 Area of coil A = 0 .04 m 2 Initial magnetic flux = N B A cos θ 1 = 1000 × 5 .0 × 10 − 5 × 0 .04 × cos 0 ∘ = 2 × 10 − 3 Wb Final magnetic flux = N B A cos θ 2 = 1000 × 5 .0 × 10 − 5 × 0 .04 × cos 90 ∘ = 0 Time duration, t = 0 . 2 s Average emf induced in the coil ε = − ϕ 2 − ϕ 1 t = − 0 − 2 × 10 − 3 0 .2 = 0 .01 V ∴ Emf induced in the coil ε = 0 .01 V .

EASY

12th CBSE

IMPORTANT

Earn 100

A square coil of $600$ turns, each side $20 cm$ , is placed with its plane inclined at $30 °$ to a uniform magnetic field of $4 .5 \times 10^{- 4} Wb m^{- 2}$ . Find the flux through the coil.

Important Questions on Electromagnetic Induction

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 6 - Electromagnetic Induction>Problems For Practice>Q 3

A magnetic field of flux density

1 .0 Wb m^{- 2}

acts normal to a

80

turn coil of

0 .01 m^{2}

. Find the emf induced in it, if this coil is removed from the field in

0.1 s

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 6 - Electromagnetic Induction>Problems For Practice>Q 4

70

tum coil with average diameter of

0.02 m

is placed perpendicular to magnetic field of

9000 T

. If the magnetic field is changed to

6000 T

3 s

, what is the magnitude of the induced emf?

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 6 - Electromagnetic Induction>Problems For Practice>Q 5

A magnitude field of flux density

10 T

acts normal to a

50

turn coil of

100 {cm}^{2}

area. Find the emf induced in it if the coil is removed from the field in

120 s

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 6 - Electromagnetic Induction>Problems For Practice>Q 6

A coil of area

0 .04 m^{2}

having

1000

turns is suspended perpendicular to a magnetic field of

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

. It is rotated through

90 °

0.2 s

. Calculate the average emf induced in it.

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 6 - Electromagnetic Induction>Problems For Practice>Q 7

A wire

40 cm

long bent into a rectangular loop

15 cm \times 5 cm

is placed perpendicular to the magnetic field whose flux density is

0 .8 Wb m^{- 2}

. Within

1.0

second, the loop is changed into a

10 cm

square and flux density increases to

1 .4 Wb m^{- 2}

. Calculate the value of induced emf.

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 6 - Electromagnetic Induction>Problems For Practice>Q 8

An air-cored solenoid of length

50 cm

and area of cross-section

28 {cm}^{2}

has

200

turns and carries a current of

5.0 A

. On switching off, the current decreases to zero within a time interval of

1.0 ms

. Find the average emf induced across the ends of the open switch in the circuit.

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 6 - Electromagnetic Induction>Problems For Practice>Q 9

A closed coil consists of

500

turns on a rectangular frame of area

4.0 {cm}^{2}

and has a resistance of

50 Ω

. It is kept with its plane perpendicular to a uniform magnetic field of

0 .2 Wb m^{- 2}

. Calculate the amount of charge flowing through the coil when it is turned over (rotated through

180 °

). Will this answer depend on the speed with which the coil is rotated?

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 6 - Electromagnetic Induction>Problems For Practice>Q 10

A conducting circular loop is placed in a uniform transverse magnetic field of

0.02 T

. Somehow, the radius of the loop begins to decrease at a constant rate of

1.0 mm / s

. Find the emf induced in the loop at the instant when the radius is

2 cm

A square coil of 600 turns, each side 20 cm, is placed with its plane inclined at 30° to a uniform magnetic field of 4.5×10−4Wb m−2. Find the flux through the coil.

Important Questions on Electromagnetic Induction

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A square coil of $600$ turns, each side $20 cm$ , is placed with its plane inclined at $30 °$ to a uniform magnetic field of $4 .5 \times 10^{- 4} Wb m^{- 2}$ . Find the flux through the coil.