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The SI unit of the quantity \(\frac{|E|}{|B|}\) is :

  • A.s/m
  • B.m/s
  • C.c\(^{2}\)m/s
  • D.c\(^{2}\)m\(^{2}\)/s

Answer: B

The SI unit of \(\frac{|E|}{|B|}\) is m/s.

From the Lorentz force, \(qE\) and \(qvB\) are both forces, so \(E\) and \(vB\) have the same units and \(\frac{E}{B}\) has the units of velocity. For an electromagnetic wave in vacuum \(\frac{E}{B} = c\). Explicitly, (V/m)/T = (V/m)/(V s/m2) = m/s.

s/m is the inverse, and the options with \(c^{2}\) put a speed squared where none belongs.

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