Two long parallel wires carrying currents 8 A and 15 A in opposite directions are placed at a distance of 7 cm from each other. A point P is at equidistant from both the wires such that the lines join

Question

Two long parallel wires carrying currents 8 A and 15 A in opposite directions are placed at a distance of 7 cm from each other. A point P is at equidistant from both the wires such that the lines joining the point P to the wires are perpendicular to each other. The magnitude of magnetic field at P is ____ × 1 0 − 6 T . (Given : 2 ​ = 1.4 )

TestHub · Accepted Answer

Magnetic fields due to both wires will be perpendicular to each other.

$B_{1} = \frac{μ _{0} i _{1}}{2 π d} B_{2} = \frac{μ _{0} i _{2}}{2 π d}$

$B_{n e t} = B_{1}^{2} + B_{2}^{2} \Rightarrow \frac{μ _{0}}{2 π d} i_{1}^{2} + i_{2}^{2}$

$\Rightarrow \frac{4 π \times 1 0 ^{- 7}}{2 π \times ( 7/ 2 ) \times 1 0 ^{- 2}} \times 8^{2} + 1 5^{2} (d = \frac{7}{2} c m)$

$\Rightarrow 68 \times 1 0^{- 6} T$

Physics - Magnetism Question with Solution | TestHub

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