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Question
Two infinitely long current carrying conductors X and Y are kept parallel to each other, 24 cm apart in a vacuum. They carry currents of 5A and 7A respectively, in the same direction, as shown in the figure below. Find the position of a neutral point, i.e., a point where resultant magnetic flux density is zero. (Ignore earth’s magnetic field).
Solution
B = `(mu_0"I" xx 2)/(4pi xx 10^-2) [5/"X" - 7/(24 - "X")] = 0` [At neutral point B = 0]
`therefore 5/"X" = 7/(24 - "X")`
12X = 120
X = 10 cm
∴ The position of null point will be at 10 cm from ‘X’ wire.
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