EASY

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A solenoid of 1.5 m length and 4.0 cm diameter has 10 turns per cm. A current of 5 A is flowing through it. The magnetic field induction at axis inside the solenoid is

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Important Questions on Magnetic Effects of Current and Magnetism

MEDIUM

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

Torque required to hold a small circular coil of

10

turns,

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

area and carrying

0.5 A

current is the middle of a long solenoid of

10^{3}

turns per meter carrying

3 A

current, with its axis perpendicular to the axis of the solenoid is

EASY

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

A long solenoid carrying a current produces a magnetic field

B

along its axis. If the current is doubled and the number of turns per

cm

is halved, the new value of magnetic field will be equal to

EASY

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

Choose the correct statement in the following:

(a) The magnetic field inside the solenoid is greater than that of outside
(b) The magnetic field inside an ideal solenoid is not at all uniform
(c) The magnetic field at the centre, inside an ideal solenoid is almost twice that at the ends
(d) The magnetic field at the centre, inside an ideal solenoid is almost half of that at the ends

MEDIUM

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

A toroidal coil of inner radius

15 cm

and an outer radius

16 cm

carries a current of

10 A

in its turns. The maximum field within the torus is

160 G

. The number of turns in the torus is

EASY

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

A toroid has an iron core with an internal magnetic field of

10 πmT

, when the current in the winding of 1500 turns per meter is

10 A

. Deternine the field due to magnetization

(μ_{0} = 4 π \times 10^{- 7} {Hm}^{- 1})

EASY

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

A soft iron cylinder of diameter

1 cm

has a solenoid wound around it. The solenoid is

20 cm

long and has 200 turns. A current of

2 A

is passed through the solenoid such that the soft iron core is completely magnetized to saturation. The magnetic field at the centre of the solenoid is then found to be

1.5

Tesla. If the current in the coil is further increased to

4 A

, then the change in the magnetic field

Δ B

at the centre will be

MEDIUM

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

The value of aluminium susceptibility is

2.2 \times 10^{- 5}

. The percentage increase in the magnetic field if space within a current carrying toroid is filled with aluminium is

\frac{n}{10^{4}}

. Then the value of

n

EASY

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

A long solenoid of

50 cm

length having

100

turns carries a current of

2.5 A

. The magnetic field at the centre of the solenoid is:

(μ_{0} = 4 π \times 10^{- 7} T m A^{- 1})

HARD

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

A short solenoid (length

l

and radius

r

with

n

turns per unit length) lies well inside and on the axis of a very long, coaxial solenoid (length

L

, radius

R

and

N

turns per unit length, with

R > r

). Current

I

follows in the short solenoid. Choose the correct statement.

EASY

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

A solenoid of $1000$ turns per metre has a core with relative permeability $500 .$ Insulated windings of the solenoid carry an electric current of $5 A .$ The magnetic flux density produced by the solenoid is:

(Permeability of free space $= 4 π \times 10^{- 7} H m^{- 1}$ )

EASY

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

The space inside a straight current carrying solenoid is filled with a magnetic material having magnetic susceptibility equal to

1.2 \times 10^{- 5}

. What is fractional increase in the magnetic field inside solenoid with respect to air as medium inside the solenoid?

EASY

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

A long solenoid with

500

turns per unit length carries a current of

1.5 A

. The magnetic induction at one of the ends of the solenoid on its axis is nearly

MEDIUM

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

A long solenoid of radius

1 mm

has

100 turns

per

mm

. If

1 A

current flows in the solenoid, the magnetic field strength at the centre of the solenoid is:

EASY

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

Field inside a solenoid is

MEDIUM

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

A steady current

I

flows along an infinitely long hollow cylindrical conductor of radius

R

. This cylinder is placed co-axially inside an infinite solenoid of radius

2 R

. The solenoid has

n

turns per unit length and carries a steady current

I

. Consider a point

P

at a distance

r

from the common axis. The correct statement(s) is(are):

HARD

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

What is a solenoid? Derive the expression for magnetic field due to a long current carrying solenoid by using Ampere's circuital law.

HARD

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

Write Ampere's circuital law and use it to derive the expression for intensity of magnetic field due to a current-carrying solenoid.

EASY

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

Four identical long solenoids $A, B, C$ and $D$ are connected to each other as shown in the figure. If the magnetic field at the center of $A$ is $3 T$ the field at the center of $C$ would be : (Assume that the magnetic field is confined with in the volume of respective solenoid).

Question Image

EASY

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

A galvanometer coil has 500 turns and each turn has an average area of

3 \times 10^{- 4} m^{2}

. If a torque of

1.5 Nm

is required to keep this coil parallel to a magnetic field when a current of

0.5 A

is flowing through it, the strength of the field (in

T

) is _________ .

EASY

Physics>Electricity and Magnetism>Magnetic Effects of Current and Magnetism>The Solenoid and the Toroid

A toroid has

500

turns per unit length. If it carries a current of

2 A

, the magnetic energy density inside the toroid is

A solenoid of 1.5 m length and 4.0 cm diameter has 10 turns per cm. A current of 5 A is flowing through it. The magnetic field induction at axis inside the solenoid is

Important Questions on Magnetic Effects of Current and Magnetism

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