First slide

Gauss's law and its applications

Question

If the flux of the electric field through a closed surface is zero, then

Easy

A

the electric field must be zero everywhere on the surface
B

the total charge inside the surface must be zero
C

the electric field must be uniform throughout the closed surface
D

the charge outside the surface must be zero

Solution

$ϕ = \frac{q_{in}}{ε_{0}} or 0 = \frac{q_{in}}{ε_{0}} \Rightarrow q_{in} = 0$

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