Question

As shown in figure, a cuboid lies in a region with electric field $E=2 x^2 \hat{i}-4 y \hat{j}+6 \hat{k} N / C$. The magnitude of charge within the cuboid is $n \epsilon_0 C$. The value of $n$ is _____. (if dimension of cuboid is $1 \times 2 \times 3 m ^3$ )

Answer 1

The correct answer is 12.
E=2x2i^−4yj^​+6k^

ϕnet ​=−8×3+2×6=−12
−12=ϵ0​q​
∣q∣=12ϵ0​

So, the answer is 12.