Physics

# The dimensions of quantity $\dfrac{1}{\mu_0} (\vec{E} \times \vec{B})$ are:$[\mu_0=$ permeability of free space, $\displaystyle E^1=$ electric field strength, $\displaystyle B^1=$ magnetic  field  induction $]$

$[MT^{-3}]$

##### SOLUTION
$\dfrac { \left[ E \right] \left[ B \right] }{ { \left[ { \mu }_{ 0 } \right] } } =\dfrac { \left[ ML{ T }^{ -3 }{ I }^{ -1 } \right] \left[ M{ T }^{ -2 }{ I }^{ -1 } \right] }{ \left[ ML{ T }^{ -2 }{ I }^{ -2 } \right] }$ $={ M }^{ 1+1-1 }{ L }^{ 1-1 }{ T }^{ -3-2+2 }{ I }^{ -1-1+2 }$$=M{ T }^{ -3 }$

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Single Correct Medium Published on 18th 08, 2020
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