Two very large, nonconducting plastic sheets, each 10.0 cm

Chapter 22, Problem 32E

(choose chapter or problem)

Two very large, nonconducting plastic sheets, each 10.0 cm thick, carry uniform charge densities \(\sigma_{1}\), \(\sigma_{2}\), \(\sigma_{3}\), and \(\sigma_{4}\) on their surfaces (?Fig. E22.30 ). These surface charge densities have the values \(\sigma_{1}\) = \(-6.00 \mu \mathrm{C} / \mathrm{m}^{2}\), \(\sigma_{2}=+5.00 \mu \mathrm{C} / \mathrm{m}^{2}\), \(\sigma_{3}=+2.00 \mu \mathrm{C} / \mathrm{m}^{2}\), and \(\sigma_{4}=+4.00\) \(\mu \mathrm{C} / \mathrm{m}^{2}\). Use Gauss’s law to find the magnitude and direction of the electric field at the following points, far from the edges of these sheets:

(a) point A, 5.00 cm from the left face of the left-hand sheet;

(b) point B, 1.25 cm from the inner surface of the right-hand sheet;

(c) point C, in the middle of the right-hand sheet.