First slide

Units

Question

The unit of permittivity of free space, $ε_{0}$ , is

Easy

A

coulomb/newton-metre
B

$n e w t o n - m e t r e^{2} / c o u l o m b^{2}$
C

$c o u l o m b^{2} / n e w t o n - m e t r e^{2}$
D

$c o u l o m b^{2} / {(n e w t o n - m e t r e)}^{2}$

Solution

Force between two charges
$F = \frac{1}{4 π ε_{0}} \frac{q^{2}}{r^{2}} \Rightarrow ε_{0} = \frac{1}{4 π} \frac{q^{2}}{F r^{2}} = C^{2} / N - m^{2}$

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