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Solenoid and Bar Magnet

Four very lon...

Question

Four very long, current-carrying wires in the same plane intersect to form a square 40.0 cm on each side, as shown in figure.Find the magnitude and direction of the current $I$ so that the magnetic field at the centre of square is zero.Wires are insulated from each other.

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Solution

$10 A$ and $8 A$ current produces inward magnetic field. While $20 A$ current produces outward magnetic field. Hence current in fourth wire should be $(20 - 10 - 8) A$ or $2 A$ and it should produces inward magnetic field. So it should be downwards towards the bottom.

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