First slide

Magnetic field due to a straight current carrying wire

Question

Two long parallel wires P and Q are both perpendicular to the plane of the paper with distance 5 m between them. If P and Q carry current of 2.5 A and 5 A, respectively, in the same direction, then the magnetic field at a point half way between the wires is

Moderate

A

$\frac{\sqrt{3} μ_{0}}{2 π}$
B

$\frac{μ_{0}}{π}$
C

$\frac{3 μ_{0}}{2 π}$
D

$\frac{μ_{0}}{2 π}$

Solution

In the following figure, magnetic field at mid point M is given by
$\begin{array}{l} B_{net} = B_{Q} - B_{P} \\ = \frac{μ_{0}}{4 π} . \frac{2}{r} (i_{Q} - i_{P}) \\ = \frac{μ_{0}}{4 π} \times \frac{2}{2 .5} (5 - 2 .5) = \frac{μ_{0}}{2 π} \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App