Write the formula for the magnetic field at a perpendicular distance $r$ from a finite current-carrying wire.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) For a finite wire carrying current $I$,the magnetic field $B$ at a perpendicular distance $r$ from the wire is given by the Biot-Savart law.
If the wire subtends angles $\theta_1$ and $\theta_2$ at the point of observation with respect to the perpendicular line drawn from the point to the wire,the formula is:
$B = \frac{\mu_0 I}{4\pi r} (\sin \theta_1 + \sin \theta_2)$
where:
- $\mu_0$ is the permeability of free space.
- $I$ is the current flowing through the wire.
- $r$ is the perpendicular distance from the wire to the point.
- $\theta_1$ and $\theta_2$ are the angles subtended by the ends of the wire at the point.

Explore More

Similar Questions

The magnetic field due to a current-carrying loop of radius $3 \text{ cm}$ at a point on its axis at a distance of $4 \text{ cm}$ from its centre is $54 \mu\text{T}$. Then,the value of the magnetic field at the centre of the loop is: (in $\mu\text{T}$)

Give similarity between Biot-Savart law and electrostatic law of Coulomb.

The direction of magnetic lines of force close to a straight conductor carrying current will be

$A$ cell is connected between the points $A$ and $C$ of a circular conductor $ABCD$ of center $O$ with angle $AOC = 60^o$. If $B_1$ and $B_2$ are the magnitudes of the magnetic fields at $O$ due to the currents in $ABC$ and $ADC$ respectively,the ratio $B_1/B_2$ is

Difficult
View Solution

Two parallel wires in the plane of the paper are at a distance $X_0$ apart. $A$ point charge is moving with speed $u$ between the wires in the same plane at a distance $X_1$ from one of the wires. When the wires carry current of magnitude $I$ in the same direction, the radius of curvature of the path of the point charge is $R_1$. In contrast, if the currents $I$ in the two wires have directions opposite to each other, the radius of curvature of the path is $R_2$. If $\frac{X_0}{X_1}=3$, the value of $\frac{R_1}{R_2}$ is:

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo