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Question
Two parallel wires separated by a distance of 10 cm carry currents of 10 A and 40 A along the same direction. Where should a third current by placed so that it experiences no magnetic force?
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Solution
Let the third wire W3 having current i in upward direction be placed x cm from the 10 A current wire.
The magnetic force per unit length on a wire due to a parallel current-carrying wire is given by
\[ \Rightarrow 10 - x = 4x\]
\[ \Rightarrow x = 2 cm\]
Thus, wire W3 is placed 2 cm from the 10 A current wire.
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