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Two long straight parallel wires carry currents 10 A and 15 A in…

Question

Two long straight parallel wires carry currents 10 A and 15 A in opposite directions and are separated by 0.20 m. Find the distance (in metres) from the 10 A wire, measured along the line joining the wires extended beyond the 10 A wire, at which the net magnetic field is zero.

✓ Verified answer: 0.4checked by our engine — not a guess

Step-by-step solution

For opposite currents, the null point lies outside both wires on the side of the smaller current (10 A wire).

Let x be the distance from the 10 A wire on that outer side; distance from the 15 A wire is x + d.

Setting field magnitudes equal: I1/x = I2/(x+d) -> 10(x+0.20) = 15x -> 2 = 5x -> x = 0.40 m.

Final answer0.4

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