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Force on a Current Element

Two long, thi...

Question

Two long, thin, parallel conductors, separated by a distance d carry currents $i_{1}$ and $i_{2}$ . The force acting on unit length of any one conductor is F :

A

F is attractive, if

i_{1}

and

i_{2}

flow in the same directions

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B

F is attractive, if

i_{1}

and

i_{2}

flow in the opposite directions

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C

F is the same for both conductors

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D

F is the different for the two conductors

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Solution

The correct options are
A F is the same for both conductors
C F is attractive, if $i_{1}$ and $i_{2}$ flow in the same directions
Two long, thin, parallel conductors, separated by a distance d carry currents $i_{1}$ and $i_{2}$ . The force acting on unit length of any one conductor is,
$F = \frac{μ_{0} (i_{1}) (i_{2})}{2 π r}$
F is attractive, if $i_{1}$ and $i_{2}$ flow in the same directions and F is the same for both conductors.

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