A long straight wire of radius a carries a st | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) For a long straight wire of radius $a$ carrying a steady current $I$ uniformly distributed over its cross-section:$1$. The magnetic field $B$ at a

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(B) For a long straight wire of radius $a$ carrying a steady current $I$ uniformly distributed over its cross-section:$1$. The magnetic field $B$ at a distance $r$ inside the wire $(r For $r = \frac{a}{2}$,we have $B = \frac{\mu_0 I (a/2)}{2 \pi a^2} = \frac{\mu_0 I}{4 \pi a}$.$2$. The magnetic field $B'$ at a distance $r$ outside the wire $(r > a)$ is given by $B' = \frac{\mu_0 I}{2 \pi r}$.For $r = 2a$,we have $B' = \frac{\mu_0 I}{2 \pi (2a)} = \frac{\mu_0 I}{4 \pi a}$.$3$. The ratio of the magnetic fields is $\frac{B}{B'} = \frac{\frac{\mu_0 I}{4 \pi a}}{\frac{\mu_0 I}{4 \pi a}} = 1$.

$A$ long straight wire of radius $a$ carries a steady current $I$. The current is uniformly distributed over its cross-section. The ratio of the magnetic fields $B$ and $B'$,at radial distances $\frac{a}{2}$ and $2a$ respectively,from the axis of the wire is

Similar Questions

$A$ charge $q$ $C$ moves in a circle at $n$ revolutions per second and the radius of the circle is $r$ $m$. The magnetic field at the centre of the circle is:

$A$ current $i$ flows through a square loop of side $a$. What is the magnetic field at its center?

The magnetic field at the centre of a circular coil of radius $r$ carrying current $I$ is $B_1$. The field at the centre of another coil of radius $2r$ carrying the same current $I$ is $B_2$. The ratio $\frac{B_1}{B_2}$ is

If $B_1$ is the magnetic field induction at a point on the axis of a circular coil of radius $R$ situated at a distance $R \sqrt{3}$ and $B_2$ is the magnetic field at the centre of the coil,then the ratio of $\frac{B_1}{B_2}$ is equal to

Two circular loops having same radius $[ R = 10 \, cm ]$ and same current $[ I = \frac{7}{2} \, A ]$ are placed along the same axis as shown. If the distance between their centers is $[ 10 \, cm ]$,find the net magnetic field at point $P$ located at the midpoint between them.

Vedclass Test Series

Exam Paper Generator

Online Exam Module