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Question

Equal currents are flowing in four infinitely long wires. Distance between any two adjacent wires is same, then

Column I Column II1) force on wire 1p) inwards2) force on wire 2q) leftwards3) force on wire 3r) rightwards4) force on wire 4s) zero



A
1q,2r,3q,4r
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B
1p,2q,3p,4r
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C
1q,2p,3q,4p
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D
1p,2r,3p,4r
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Solution

The correct option is A 1q,2r,3q,4r
Let the distance between each wire be a.

For wire-1, the magnetic field due to wire-2, wire-3 and wire-4 respectively is given by,


B2=μ0I2πa,B3=μ0I4πa,B4=μ0I6πa

|Bnet|=μ0I2πaμ0I4πa+μ0I6πa=5μ0I12πa

This net field is directed normally inwards.

force on wire-(1) is leftwards.

Wire (2)


|B|=μ0I2πa+μ0I4πaμ0I2πa=μ0I4πa

This field is directed normally inwards.

force on wire-(2) will be directed rightwards

For wire-3,


|B|=B1B2+B4=μ0I4πa

This field is directed normally inwards.

force on wire (3) will be directed leftwards

For wire-4,


|B|=B1+B3+B2=5μ0I12πa

This field is directed normally inwards.

the force on wire (4) will be directed rightawards

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