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 amp and 5 amp respectively in the same direction, then the magnetic field at a point half way between the wires is

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Solution

The correct option is D
In the following figure magnetic field at mid point M is given by
$B_{n e t} = B_{Q} - B_{P}$
$= \frac{μ_{0}}{4 π} . \frac{2}{r} (i_{Q} - i_{P})$
$= \frac{μ_{0}}{4 π} \times \frac{2}{2.5} (5 - 2.5) = \frac{μ_{0}}{2 π}$

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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 amp and 5 amp respectively in the same direction, then the magnetic field at a point half way between the wires is

The correct option is D In the following figure magnetic field at mid point M is given by Bnet=BQ−BP =μ04π.2r(iQ−iP) =μ04π×22.5(5−2.5)=μ02π

The correct option is D
In the following figure magnetic field at mid point M is given by
$B_{n e t} = B_{Q} - B_{P}$
$= \frac{μ_{0}}{4 π} . \frac{2}{r} (i_{Q} - i_{P})$
$= \frac{μ_{0}}{4 π} \times \frac{2}{2.5} (5 - 2.5) = \frac{μ_{0}}{2 π}$