Two parallel wires of equal lengths are separ | vedclass

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

Question

(D) The magnetic field $B$ at a distance $r$ from a long straight wire carrying current $I$ is given by $B = \frac{\mu_0 I}{2 \pi r}$.Given the distan

Vedclass · Accepted Answer

$\frac{5 \mu_0}{2 \pi}$

Vedclass · Answer

(D) The magnetic field $B$ at a distance $r$ from a long straight wire carrying current $I$ is given by $B = \frac{\mu_0 I}{2 \pi r}$.Given the distance between the wires is $d = 3 \ m$,the midpoint is at a distance $r = 1.5 \ m$ from each wire.For the first wire,$I_1 = 3 \ A$. The magnetic field is $B_1 = \frac{\mu_0 	imes 3}{2 \pi 	imes 1.5} = \frac{2 \mu_0}{2 \pi}$.For the second wire,$I_2 = 4.5 \ A$. The magnetic field is $B_2 = \frac{\mu_0 	imes 4.5}{2 \pi 	imes 1.5} = \frac{3 \mu_0}{2 \pi}$.Since the currents are in opposite directions,by the right-hand rule,the magnetic fields produced by both wires at the midpoint point in the same direction.Therefore,the net magnetic field is $B = B_1 + B_2 = \frac{2 \mu_0}{2 \pi} + \frac{3 \mu_0}{2 \pi} = \frac{5 \mu_0}{2 \pi}$.

Similar Questions

$A$ conducting wire carrying current $I$ is arranged as shown in the figure. Find the magnetic field at point $O$.

$A$ long wire carries a steady current. It is bent into a circle of one turn and the magnetic field at the centre of the coil is $B$. It is then bent into a circular loop of $n$ turns. The magnetic field at the centre of the coil for the same current will be

Assertion : The magnetic field at the centre of the circular coil in the following figure due to the currents $I_1$ and $I_2$ is zero.
Reason : $I_1 = I_2$ implies that the fields due to the current $I_1$ and $I_2$ will be balanced.

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

Vedclass Test Series

Exam Paper Generator

Online Exam Module