Two straight horizontal parallel wires are ca | vedclass

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

Question

(D) Let the two wires be placed parallel to each other in the horizontal plane, separated by a distance $d$. Let the current $I$ flow through both wir

Vedclass · Accepted Answer

At points halfway between the wires in the horizontal plane

Vedclass · Answer

(D) Let the two wires be placed parallel to each other in the horizontal plane, separated by a distance $d$. Let the current $I$ flow through both wires in the same direction.At any point $P$ located exactly halfway between the wires, the magnetic field $B_1$ due to the first wire and $B_2$ due to the second wire can be calculated using the right-hand rule.Since the wires are parallel and carry the same current $I$ in the same direction, at the midpoint, the magnetic field $B_1$ points vertically upwards (or downwards depending on the direction of current), and $B_2$ points in the opposite direction.Specifically, $B_1 = \frac{\mu_0 I}{2\pi (d/2)}$ and $B_2 = \frac{\mu_0 I}{2\pi (d/2)}$.Since they are equal in magnitude and opposite in direction, the resultant magnetic field $B_{net} = B_1 - B_2 = 0$.At this point, because the net magnetic field is zero, the magnetic needle will not experience any torque and its orientation will be independent of the magnitude of the current $I$.

Similar Questions

$A$ uniform circular wire loop is connected to the terminals of a battery. The magnetic field induction at the centre due to $ABC$ portion of the wire will be (length of $ABC = l_1$, length of $ADC = l_2$):

The magnetic field at a perpendicular distance of $1 \,m$ from a long straight wire carrying a current of $1 \,A$ is:

Two concentric coils of $10$ turns each are placed in the same plane. Their radii are $20 \ cm$ and $40 \ cm$ and carry $0.2 \ A$ and $0.3 \ A$ current respectively in opposite directions. The magnetic induction (in $T$) at the centre is

Vedclass Test Series

Exam Paper Generator

Online Exam Module