A current $ I $ is flowing along an infinite, straight wire, in the positive $ Z- $ direction and the same current is flowing along a similar parallel wire $ 5 \mathrm{~m} $ apart, in the negative $ Z- $ direction. A point $ P $ is at a perpendicular distance $ 3 \mathrm{~m} $ from the first wire and $ 4 \mathrm{~m} $ from the second. What will be the magnitude of the magnetic field $ B $ of $ P $ ?

Question

A current $ I $ is flowing along an infinite, straight wire, in the positive $ Z- $ direction and the same current is flowing along a similar parallel wire $ 5 \mathrm{~m} $ apart, in the negative $ Z- $ direction. A point $ P $ is at a perpendicular distance $ 3 \mathrm{~m} $ from the first wire and $ 4 \mathrm{~m} $ from the second. What will be the magnitude of the magnetic field $ B $ of $ P $ ?, $ \frac{5}{12}\left(\frac{\mu_{0} I}{\pi}\right) $, $ \frac{7}{24}\left(\frac{\mu_{0} I}{\pi}\right) $, $ \frac{5}{24}\left(\frac{\mu_{0} I}{\pi}\right) $, $ \frac{25}{288}\left(\frac{\mu_{0} I}{\pi}\right) $

MARKS App · Accepted Answer

According to the question, Magnetic field due to first wire A is B 1 = μ 0 × I 2 π × 3 Magnetic field due to second wire ( B ) is B 2 = μ 0 × I 2 π × 4 Net magnitude of magnetic field B = B 1 2 + B 2 2 B = μ 0 I 2 π 1 9 + 1 16 = μ 0 I × 5 2 π × 3 × 4 Magnetic field B = 5 24 × μ 0 I π

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