First slide

Electric Flux

Question

In a region of space, the electric field increases radially as $\vec{E} = - 90 r (\hat{r}) .$ The electric charge contained within a sphere of radius 2m centred at origin is

Easy

A

$+ 80 π C$
B

$- 100 π C$
C

$- 80 n C$
D

$+ 160 n C$

Solution

(3)
$\begin{array}{l} Q_{n e t} = ε_{0} \times ϕ_{n e t} = 8.85 \times 10^{- 12} \times [- 4 π \times {(2)}^{2} \times (90 \times 2)] C \\ = - 80 n C . \end{array}$

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