Question

An electric field $\vec{E}=E_{0} \hat{i}+E_{0} \hat{j}$ exists in space. The flux through a triangular loop with vertices at $\left(\frac{a}{2}, 0,0\right)$, $\left(\frac{a}{2}, 0, a\right)$ and $\left(\frac{a}{2}, a, \frac{a}{2}\right)$ is $\frac{E_{0} a^{2}}{b} .$ Find $b$

Answer 1

The flux of $y$-component of $\vec{E}$ is zero through this loop.

$\therefore \phi=E_{0} \times \frac{1}{2} \times a \times a=\phi=\frac{E_{0} a^{2}}{2}$