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 $$] $$ 


ANSWER

$$ [MT^{-3}] $$


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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