Assertion : The total charge stored in a capacitor is zero.
Reason : The field just outside the capacitor is $\frac{\sigma }{{{\varepsilon _0}}}$. ( $\sigma $ is the charge density).
AIIMS 2009, Medium
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Charge stored on the two plates are $+Q$ and $-\mathrm{Q} \Rightarrow \mathrm{Q}+(-\mathrm{Q})=0$ and hence Assertion is correct. The field however, outside the plates is zero.
Draw a Gaussian surface $A B C D$ as shown.
The field $\overrightarrow{\mathrm{E}}$ is uniform on faces $\mathrm{AD}$ and $B C$
$ \Rightarrow \,\oint {\overrightarrow {\text{E}} \cdot {\text{ds}} = 0} $ yields $\vec {\mathrm{E}}=0$
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