# Two thin long, parallel wires, separated by a distance d carry a current of  i  A in the same direction. They will Option 1) attract each other with a force of   $\frac{\mu _{0}i^{2}}{(2\pi d^{2})}$ Option 2) repel each other with a force of  $\frac{\mu _{0}i^{2}}{(2\pi d^{2})}$ Option 3) attract each other with a force of  $\frac{\mu _{0}i^{2}}{(2\pi d)}$ Option 4) repel each other with a force of  $\frac{\mu _{0}i^{2}}{(2\pi d)}$

As we discussed in

Force between two parallel current carrying conductors -

$F=\frac{\mu }{4\pi } \frac{2I_{1 I_{2}}}{a} l$

$\frac{F}{l}=\frac{\mu o}{4\pi } \frac{2I_{1 I_{2}}}{a}$

- wherein

I1 and I2 current carrying two parallel wires

a-seperation between two wires

Force of attraction between wires $=\frac{\mu _{0}i^{2}L}{2\pi d}$

Option 1)

attract each other with a force of   $\frac{\mu _{0}i^{2}}{(2\pi d^{2})}$

Incorrect option

Option 2)

repel each other with a force of  $\frac{\mu _{0}i^{2}}{(2\pi d^{2})}$

Incorrect option

Option 3)

attract each other with a force of  $\frac{\mu _{0}i^{2}}{(2\pi d)}$

Correct option

Option 4)

repel each other with a force of  $\frac{\mu _{0}i^{2}}{(2\pi d)}$

Incorrect option

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