Question

Electromagnetic field

The figure shows a neutral metal, placed near two point charges. The point charges polarize the metal.

a. (6 points) Draw the approximate charge distributions on the metal due to the polarization.

b. (9 points) At location A, draw and label the following electric fields: E, due to charge q1, E2 due to charge q2 , and Epol due to the polarization charge on the metal?

c. (5 points) What will be the net electric field at A due to all charges?

\text { d. (5 points) If } \overrightarrow{\mathrm{E}}_{1}+\overrightarrow{\mathrm{E}}_{2}=\left\langle-20 \times 10^{5}, 0,0\right\rangle \mathrm{N} / \mathrm{C} \text {, calculate } \overrightarrow{\mathrm{E}}_{\text {pol. }} \text {. }