Two infinitely long straight wires lie in the xy - plane along the lines x = ± R . The wire located at x = + R carries a constant current I 1 and the wire located at x = - R carries a constant current I 2 . A circular loop of radius R is suspended with its centre at 0 , 0 3 R and in a plane parallel to the xy - plane. This loop carries a constant current I in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the + j ^ direction. Which of the following statements regarding the magnetic field B → is (are) true?

If I 1 = I 2 , Then the z - component of the magnetic field at the centre of the loop is - μ 0 I 2 R

If I 1 < 0 a n d I 2 > 0 , t h e n B → can be equal to zero at the origin 0 , 0 , 0

EASY

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Helmholtz coil is used to produce uniform magnetic field between coils.

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Important Questions on Magnetic Effects of Electric Current

HARD

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

Two infinitely long parallel wires carry currents of magnitude

I_{1}

and

I_{2}

and are at a distance 4 cm apart. The magnitude of the net magnetic field is found to reach a non-zero minimum values between the two wires and 1 cm away from the first wire. The ratio of the two currents and their mutual direction is

MEDIUM

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

Two infinitely long straight wires lie in the xy - plane along the lines

x = \pm R

. The wire located at

x = + R

carries a constant current

I_{1}

and the wire located at

x = - R

carries a constant current

I_{2}

. A circular loop of radius R is suspended with its centre at

(0, 0 \sqrt{3} R)

and in a plane parallel to the xy - plane. This loop carries a constant current

I

in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the

+ \hat{j}

direction. Which of the following statements regarding the magnetic field

\vec{B}

is (are) true?

MEDIUM

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

Two infinitely long wires each carrying current

I

along the same direction are made into the geometry as shown in the figure below.
Question Image

The magnetic field at the point

P

EASY

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

The magnetic induction at a point

P

which is at a distance of

4 cm

from a long current carrying wire is

10^{- 3} T

. The field of induction at a distance

12 cm

from the current will be

MEDIUM

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

A circular coil carrying current

I

has a radius

R

and magnetic field at the centre is

B

. The distance from the centre along the axis of the same coil where the magnetic field will be

\frac{B}{8}

MEDIUM

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

A wire bent in the shape of a regular

n

polygonal loop carries a steady current

I

. Let

l

be the perpendicular distance of a given segment and

R

be the distance of a vertex both from the centre of the loop. The magnitude of the magnetic field at the centre of the loop is given by,

EASY

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

An electron moving in a circular orbit of radius

r

makes

n

rotations per second. The magnetic field produced at the center has magnitude:

MEDIUM

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

A cylindrical conductor of radius

R

is carrying a constant current. The plot of the magnitude of the magnetic field

B

with the distance

d

from the centre of the conductor is correctly represented by the figure.

EASY

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

A Helmholtz coil has a pair of loops, each with

N

turns and radius

R

. They are placed coaxially at distance

R

and the same current

I

flows through the loops in the same direction. The magnitude of the magnetic field at

P,

midway between the centres

A

and

C,

is given by [Refer to figure given below]:
Question Image

MEDIUM

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

One of the two identical conducting wires of length

L

is bent in the form of a circular loop and the other one into a circular coil of

N

identical turns. If the same current is passed in both, the ratio of the magnetic field at the centre of the loop

(B_{L})

to that at the centre of the coil

(B_{C}),

i.e.

\frac{B_{L}}{B_{C}}

will be

MEDIUM

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

A small current element of length

d l

and carrying current is placed at (1, 1, 0) and is carrying current in '+ z' direction. If magnetic field at origin be

{\vec{B}}_{1}

and at point (2, 2, 0) be

{\vec{B}}_{2}

then:

EASY

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

The magnetic field at a point due to a current-element is directly proportional to

MEDIUM

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

Two very long, straight, and insulated wires are kept at $90 °$ angle from each other in $x y$ plane as shown in the figure.
Question Image
These wires carry currents of equal magnitude $I$ , whose direction are shown in the figure. The net magnetic field at point $P$ will be:

EASY

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

The magnitude of a magnetic field at the centre of a circular coil of radius

R

, having

N

turns and carrying a current

I

can be doubled by changing

MEDIUM

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

The magnitude of the magnetic field at the centre of an equilateral triangular loop of side

1 m

which is carrying a current of

10 A

is:
[Take

μ_{0} = 4 π \times 10^{- 7} N A^{- 2}

]

EASY

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

A circular coil of wire consisting of

100

turns each of radius

9 cm

carries a current of

0.4 A

. The magnitude of the magnetic field at the centre of coil is

(μ_{0} = 12.56 \times 10^{- 7} SI Units)

MEDIUM

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

A thin ring of

10 c m

radius carries a uniformly distributed charge. The ring rotates at a constant angular speed of

40 π r a d s^{- 1}

about its axis, perpendicular to its plane. Is the magnetic field its centre is

3.8 \times 10^{- 9} T

, then the charge carried by the ring is close to

(μ_{0} = 4 π \times 10^{- 7} N A^{- 2}) .

MEDIUM

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

Two long parallel wires placed

0.08 m

apart, carry currents

3 A

and

5 A

in the same direction. What is the distance from the conductor carrying the larger current to the point where the resultant magnetic field is zero?

MEDIUM

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

A square loop, carrying a steady current $I$ , is placed in a horizontal plane near a long straight conductor carrying a steady current $I_{1}$ at a distance $d$ from the conductor as shown in the figure. The loop will experience
Question Image

HARD

Science>Physics>Magnetic Effects of Electric Current>Magnetic Field Due to a Current Carrying Conductor

Two concentric circular loops, one of radius $R$ and the other of radius $2 R$ , lie in the $x y$ -plane with the origin as their common center, as shown in the figure. The smaller loop carries current $I_{1}$ in the anti-clockwise direction and the larger loop carries current $I_{2}$ in the clockwise direction, with $I_{2} > 2 I_{1} . \vec{B} (x, y)$ denotes the magnetic field at a point $(x, y)$ in the $x y$ -plane. Which of the following statement(s) is (are) correct?

Question Image

Helmholtz coil is used to produce uniform magnetic field between coils.

Important Questions on Magnetic Effects of Electric Current

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