An infinitely long wire carrying current I is along Y axis such that its one end is at point A 0 , b while the wire extends up to + ∞ . The magnitude of magnetic field strength at Point a , 0 is found to be, B = μ 0 4 π i a n - b a 2 + b 2 . Find n .

Magnetic field at a distance a due to a straight wire carrying current i (where the edges make angles - α 2 to α 1 ) is given by, B = μ 0 4 π i a sin α 1 + sin α 2 So, B = μ 0 4 π i a sin 90 ° + sin - θ = μ 0 i 4 π a 1 - sin θ = μ 0 4 π i a 1 - b a 2 + b 2 comparing solution with the equation given in the question, Thus, n = 1

An infinitely long wire carrying current I is along Y axis such that its one end is at point A 0 , b while the wire extends up to + ∞ . The magnitude of magnetic field strength at Point a , 0 is found to be, B = μ 0 4 π i a n - b a 2 + b 2 . Find n .

Magnetic field at a distance a due to a straight wire carrying current i (where the edges make angles - α 2 to α 1 ) is given by, B = μ 0 4 π i a sin α 1 + sin α 2 So, B = μ 0 4 π i a sin 90 ° + sin - θ = μ 0 i 4 π a 1 - sin θ = μ 0 4 π i a 1 - b a 2 + b 2 comparing solution with the equation given in the question, Thus, n = 1

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IMPORTANT

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An infinitely long wire carrying current $I$ is along $Y$ axis such that its one end is at point $A (0, b)$ while the wire extends up to $+ \infty$ . The magnitude of magnetic field strength at Point $(a, 0)$ is found to be, $B = \frac{μ_{0}}{4 π} \frac{i}{a} (n - \frac{b}{\sqrt{a^{2} + b^{2}}})$ . Find $n$ .

Important Questions on Sources of Magnetic Field

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Magnetism and Electromagnetic Induction JEE Main & Advanced>Chapter 2 - Sources of Magnetic Field>DPP>Q 2

Two long wires $P Q R$ and $M N P$ carry equal current $I$ as shown such that $Q R$ and $N P$ are parallel. The magnetic field at origin $O$ is, $B = \frac{μ_{0} I}{2 \sqrt{n} π a} ⊙$ . Find $n$ .

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JEE Main

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Chapterwise/Topicwise Daily Practice Problems (DPP) Magnetism and Electromagnetic Induction JEE Main & Advanced>Chapter 2 - Sources of Magnetic Field>DPP>Q 3

Two very thin metallic wires placed along $X$ and $Y$ axis carry equal currents as shown here. $A B$ and $C D$ are lines at $45 °$ with the axes with origin of axes at $O$ . The magnetic field will be zero on the line

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JEE Main

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Chapterwise/Topicwise Daily Practice Problems (DPP) Magnetism and Electromagnetic Induction JEE Main & Advanced>Chapter 2 - Sources of Magnetic Field>DPP>Q 4

Two parallel beams of protons and electrons, carrying equal currents are fixed at a separation

d

. The protons and electrons move in opposite directions.

P

is a point on a line joining the beams, at distance

x

from anyone beam. The magnetic field at

P

B

. If

B

is plotted against

x

, which of the following best represents the resulting curve.

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Magnetism and Electromagnetic Induction JEE Main & Advanced>Chapter 2 - Sources of Magnetic Field>DPP>Q 5

A straight section

P Q

of a circuit lies along the

X

-axis from

x = - \frac{a}{2}

x = \frac{a}{2}

and carries a steady current

i

. The magnetic field due to the section

P Q

at a point

X = + a

will be?

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Chapterwise/Topicwise Daily Practice Problems (DPP) Magnetism and Electromagnetic Induction JEE Main & Advanced>Chapter 2 - Sources of Magnetic Field>DPP>Q 6

A vertical wire kept in $Z - X$ plane carries a current from $Q$ to $P$ (see figure). The magnetic field due to current will have the direction at the origin $O$ along

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Magnetism and Electromagnetic Induction JEE Main & Advanced>Chapter 2 - Sources of Magnetic Field>DPP>Q 7

A long straight wire carrying a current of

30 A

is placed in an external uniform magnetic field of induction

4 \times 10^{- 4} T .

The magnetic field is acting parallel to the direction of current. The magnitude of the resultant magnetic induction in tesla at a point

2.0 cm

away from the wire is

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IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Magnetism and Electromagnetic Induction JEE Main & Advanced>Chapter 2 - Sources of Magnetic Field>DPP>Q 8

A current

i

is flowing in a straight conductor of length

L .

The magnetic induction at a point at a distance

\frac{L}{4}

from its centre, perpendicular to the wire, will be

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Magnetism and Electromagnetic Induction JEE Main & Advanced>Chapter 2 - Sources of Magnetic Field>DPP>Q 9

Two parallel long wires carry currents

i_{1}

and

i_{2}

with

i_{1} > i_{2} .

When the currents are in the same direction, the magnetic field midway between the wires is

10 μT

. When the direction of

i_{2}

is reversed, it becomes

40 μT

. The ratio

i_{1} / i_{2}

An infinitely long wire carrying current I is along Y axis such that its one end is at point A 0, b while the wire extends up to +∞. The magnitude of magnetic field strength at Point a, 0 is found to be, B=μ04πian-ba2+b2. Find n.

Important Questions on Sources of Magnetic Field

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