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Q.

Consider three infinitely long current carrying wires 1, 2, and 3 kept parallel to each other as shown

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Given i1=i2=i3

If  F1= Net magnetic force per length acting on wire i1 due to i2 and i3
F2= Net magnetic force per length acting on wire i2 due to i1 and i3
F3= Net magnetic force per length acting on wire i3 due to i1 and i2   
Then

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a

F3=F2>F1

b

F2>F3>F1

c

F3>F2>F1

d

F2>F1>F3

answer is A.

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Detailed Solution

Fl=μ0i1i22πd 

Using the concept, parallel currents attract and opposite currents repel,
Force acting on wire i2 will be highest followed by i3 and then i1 

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Consider three infinitely long current carrying wires 1, 2, and 3 kept parallel to each other as shownGiven i1=i2=i3If  F1= Net magnetic force per length acting on wire i1 due to i2 and i3F2= Net magnetic force per length acting on wire i2 due to i1 and i3F3= Net magnetic force per length acting on wire i3 due to i1 and i2   Then