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)}

 

Answers (1)
V Vakul

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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