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Two Parallel Currents

If the distan...

Question

If the distance as well as the current in each of two parallel current carrying wires is doubled, the force per unit length acting between them becomes

A

doubled

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B

remains same

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C

quadrupled

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D

halved

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Solution

The correct option is A doubled
Force per unit length $(F)$ between two current carrying wires is
$F = \frac{μ_{o} I_{1} I_{2}}{2 A π}$ $N$
When both $I_{1}$ , $I_{2}$ and $r$ are doubled then
$\Rightarrow F^{'} =$ $\frac{μ_{o} (2 I_{1}) (2 I_{2})}{2 A (2 π_{1})} = 2 F$

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