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Question

Two infinitely long wires P and Q separated by a distance of 10 cm in air, carry currents 1 and 21 in opposite directions as shown in the figure. The resultant magnetic field due to currents in these wires will be zero at :
330733_ba2ef657a83b409b8b3a4f1afd2f3e77.png

A
point A.
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B
point B
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C
point C
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D
none of the points A, B, C.
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Solution

The correct option is A point A.
Answer is A.
Outside the wires, the two magnetic fields from the two currents are in opposite directions so they will tend to cancel each other and the resulting or total magnetic field will be small.
In this case, the current flowing through the wire Q is more and so, the magnetic field outside the wire Q will also be greater than wire P. We know, the magnetic field is directly proportional to the current flowing through the coil.
Therefore, the resultant magnetic field due to currents in these wires will be zero at point A in the figure.

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