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The dimensions \left [\mathrm{MLT}^{-2} \mathrm{~A}^{-2} \right ] belong to the?
 

Option: 1

 self inductance


Option: 2

 magnetic permeability
 


Option: 3

 electric permittivity.


Option: 4

magnetic flux.


Answers (1)

best_answer

We know that,

the force per unit length between two current-carrying conductors is

\begin{aligned} \frac{f}{l} &=\frac{\mu_{0} i_{1} i_{2}}{2 \pi a} \\ \therefore\left[\mu_{0}\right] &=\left[\frac{F}{i_{1} i_{2}}\right]\left[\frac{a}{l}\right] \\ {\left[\mu_{0}\right] } &=\left[M^{1} L^{1} T^{-2} A^{-2}\right] \end{aligned}

The correct option is (2)

Posted by

HARSH KANKARIA

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