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 currents are in opposite directions,so their magnetic fields at the mid-point are in the same direction.Both wires are at a distance $r = 1.5

Vedclass · Accepted Answer

$\frac{5 \mu_{0}}{2 \pi}$

Vedclass · Answer

(D) The currents are in opposite directions,so their magnetic fields at the mid-point are in the same direction.Both wires are at a distance $r = 1.5 \,m$ from the mid-point.The magnetic field due to the first wire is $B_{1} = \frac{\mu_{0} I_{1}}{2 \pi r} = \frac{\mu_{0}}{2 \pi} \cdot \frac{3}{1.5} = \frac{2 \mu_{0}}{2 \pi}$.The magnetic field due to the second wire is $B_{2} = \frac{\mu_{0} I_{2}}{2 \pi r} = \frac{\mu_{0}}{2 \pi} \cdot \frac{4.5}{1.5} = \frac{3 \mu_{0}}{2 \pi}$.Since the fields are in the same direction,the resultant 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

Find the magnetic field due to a semi-infinite length wire at point $P$ as shown in the figure.

Identify the correct statement.

Derive an expression for the force per unit length between two infinitely long straight parallel current-carrying wires. Hence,define one ampere $(A)$.

Give two different properties of a current-carrying coil and state Ampere's suggestion.

Vedclass Test Series

Exam Paper Generator

Online Exam Module