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Q.

Three long straight and parallel wires are arranged as shown in figure. The force experienced by 10 cm length of wire ‘Q’ is

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a

1.4×10−4N towards the right

b

2.6×10−4N towards right

c

1.4×10−4N towards the left

d

2.6×10−4N toward left

answer is A.

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Detailed Solution

Wire Q and R will repel and wire Q and P will also repel. As shown in figure, net force can be given as,  Fnet=FQR-FQP ⇒Fnet=μo2πiRiQLdQR-μo2πiQiPLdQP ⇒Fnet=4π×10−7×20×10×10×10−22π×2×10−2−4π×10−7×10×30×10×10−22π×10×10−2 ⇒Fnet=4π×10−7×10×10−22π×10−2[100−30]= 20×10−7×70=1400×10−7= 1.4×10−4N towards right
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