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Question

Physics Question on Moving charges and magnetism

Two long parallel wires carrying currents 8A8 A and 15A15 A in opposite directions are placed at a distance of 7cm7 cm from each other A point PP is at equidistant from both the wires such that the lines joining the point PP to the wires are perpendicular to each other The magnitude of magnetic field at PP is___×106T\times 10^{-6} T(Given : 2=1.4\sqrt{2}=1.4 )

Answer

The correct answer is 68

Magnetic fields due to both wires will be perpendicular to each other.
B1​=2πdμ0​i1​​B2​=2πdμ0​i2​​
Bnet​=B12​+B22​​⇒2πdμ0​​i12​+i22​​
⇒2π×(7/2​)×10−24π×10−7​×82+152​(d=2​7​cm)
⇒68×10−6T