(B) The force per unit length $f$ between two parallel conductors carrying currents $I_1$ and $I_2$ separated by a distance $d$ is given by the formul

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(B) The force per unit length $f$ between two parallel conductors carrying currents $I_1$ and $I_2$ separated by a distance $d$ is given by the formula: $f = \frac{\mu_0 I_1 I_2}{2 \pi d}$.Given values are $I_1 = I_2 = 1 \text{ mA} = 10^{-3} \text{ A}$,$d = 1 \text{ m}$,and $\mu_0 = 4\pi \times 10^{-7} \text{ T m A}^{-1}$.Substituting these values into the formula:$f = \frac{(4\pi \times 10^{-7}) \times (10^{-3}) \times (10^{-3})}{2 \pi \times 1}$$f = 2 \times 10^{-7} \times 10^{-6}$$f = 2 \times 10^{-13} \text{ N/m}$.Thus,the correct option is $B$.

Class 12 Physics Moving Charges and Magnetism Force on a Current Carrying Conductor

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Two very long straight parallel conductors of negligible cross-section carrying equal electric current of $1 \text{ mA}$ are placed one metre apart in a vacuum. The force produced per metre length is $\qquad \text{ N}$. (Given: $\mu_0 = 4\pi \times 10^{-7} \text{ T m A}^{-1}$)

GSEB 2024 All GSEB

A
$2 \times 10^{-7}$
B
$2 \times 10^{-13}$
C
$2 \times 10^{-10}$
D
$2 \times 10^{-4}$

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Moving Charges and Magnetism

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Force on a Current Carrying Conductor

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DifficultAP EAMCET 2016

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Two very long straight parallel conductors of negligible cross-section carrying equal electric current of $1 \text{ mA}$ are placed one metre apart in a vacuum. The force produced per metre length is $\qquad \text{ N}$. (Given: $\mu_0 = 4\pi \times 10^{-7} \text{ T m A}^{-1}$)

Similar Questions

Two long wires are hanging freely. They are joined first in parallel and then in series and then are connected with a battery. In both cases,which type of force acts between the two wires?

An infinitely long current-carrying wire and a small current-carrying loop are in the plane of the paper as shown. The radius of the loop is $a$ and the distance of its centre from the wire is $d$ $(d >> a)$. If the loop applies a force $F$ on the wire,then:

The magnetic field existing in a region is given by $\vec{B} = B_0 \left(1 + \frac{x}{l}\right) \hat{k}$. $A$ square loop of edge length $l$ and carrying a current $i$ is placed with its edges parallel to the $x$ and $y$ axes. Find the magnitude of the net magnetic force experienced by the loop.

$A$ loop of flexible conducting wire lies in a magnetic field of $2.0 \,T$ with its plane perpendicular to the field. The length of the wire is $1 \,m$. When a current of $1.1 \,A$ is passed through the loop, it opens into a circle. The tension developed in the wire is (in $\,N$)

$A$ uniform conducting wire $ABC$ has a mass of $10\,g$. $A$ current of $2\,A$ flows through it. The wire is kept in a uniform magnetic field $B = 2\,T$ directed into the plane of the paper. The acceleration of the wire will be

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