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Four very long, curent carrying wires in the same plane interest to form a square 40.0 cm 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.
Given Image

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a

$3.0 A$ toward bottom of page

b

$2.0 A$ toward bottom of the page

c

$3.0 A$ toward top of the page

d

$2.0 A$ toward top of page

answer is C.

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Detailed Solution

$10 A$ and $8 A$ current produced 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 produce inward magnetic field. So, it should be downwards toward the bottom.

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Four very long, curent carrying wires in the same plane interest to form a square 40.0 cm 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. Given Image