Two identical long parallel wires carry curre | vedclass

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

Question

(D) Let the distance between the wires be $2r$. The distance from each wire to the midpoint is $r$. The magnetic field due to a long wire at distance

Vedclass · Accepted Answer

$\frac{3}{2}$

Vedclass · Answer

(D) Let the distance between the wires be $2r$. The distance from each wire to the midpoint is $r$. The magnetic field due to a long wire at distance $r$ is $B = \frac{\mu_0 I}{2 \pi r}$.When currents are in the same direction,the fields at the midpoint are in opposite directions. The net field is $B_1 = \frac{\mu_0}{2 \pi r} (I_1 - I_2) = 6 	imes 10^{-6} \ T$.When the direction of $I_2$ is reversed,the fields at the midpoint are in the same direction. The net field is $B_2 = \frac{\mu_0}{2 \pi r} (I_1 + I_2) = 3 	imes 10^{-5} \ T$.Dividing the two equations: $\frac{I_1 - I_2}{I_1 + I_2} = \frac{6 	imes 10^{-6}}{3 	imes 10^{-5}} = \frac{6}{30} = \frac{1}{5}$.$5(I_1 - I_2) = I_1 + I_2 \implies 5I_1 - 5I_2 = I_1 + I_2 \implies 4I_1 = 6I_2$.Therefore,$\frac{I_1}{I_2} = \frac{6}{4} = \frac{3}{2}$.

Similar Questions

$PQRS$ is a square loop made of uniform conducting wire. If the current enters the loop at $P$ and leaves at $S$, then the magnetic field will be

In the figure,the magnetic induction at the centre $O$ due to the current in the straight portion $AB$ will be:

There are two infinitely long straight current-carrying conductors held at right angles to each other such that their common ends meet at the origin, as shown in the figure. The ratio of current in both conductors is $1:1$. The magnetic field at point $P(x, y)$ is:

An electron moves along a vertical line and away from the observer. What is the pattern of the concentric circular magnetic field lines produced due to its motion?

$A$ wire in the form of a circular loop of one turn carrying a current produces a magnetic field $B$ at the centre. If the same wire is looped into a coil of two turns and carries the same current,the new value of magnetic induction at the centre is

Vedclass Test Series

Exam Paper Generator

Online Exam Module