Electrostatics Question 15
Question 15 - 30 January - Shift 2
As shown in figure, a cuboid lies in a region with electric field $E=2 x^{2} \hat{i}-4 y \hat{j}+6 \hat{k} \quad N / C$. The magnitude of charge within the cuboid is $n \in_0 C$. The value of $n$ is (if dimension of cuboid is $1 \times 2 \times 3 m^{3}$ )
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Answer: (12)
Solution:
Formula: Electric Flux
$\overrightarrow{{}E}=2 x^{2} \hat{i}-4 y+6 \hat{k}$
$\phi _{\text{net }}=-8 \times 3+2 \times 6=-12$
$-12=\frac{q}{\epsilon_0}$
$|q|=12 \epsilon_0$
