Practicing Success
Three infinitely long charge sheets are placed as shown in figure. The electric field at point P is : |
$\frac{2 \sigma}{\varepsilon_0} \hat{k}$ $-\frac{2 \sigma}{\varepsilon_0} \hat{k}$ $\frac{4 \sigma}{\varepsilon_0} \hat{k}$ $-\frac{4 \sigma}{\varepsilon_0} \hat{k}$ |
$-\frac{2 \sigma}{\varepsilon_0} \hat{k}$ |
All the three plates will produce electric field at P along negative z-axis. Hence, $\vec{E}_p =\left[\frac{\sigma}{2 \varepsilon_0}+\frac{2 \sigma}{2 \varepsilon_0}+\frac{\sigma}{2 \varepsilon_0}\right](-\hat{k})$ $=-\frac{2 \sigma}{\varepsilon_0} \hat{k}$ ∴ correct answer is (b). |