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Answer: Two very large, nonconducting plastic sheets, each
Chapter 22, Problem 32E(choose chapter or problem)
Two very large, nonconducting plastic sheets, each 10.0 cm thick, carry uniform charge densities \(\sigma_1,\ \sigma_2,\ \sigma_3\text{, and }\sigma_4\) on their surfaces, as shown in Fig. E22.32. These surface charge densities have the values \(\sigma_1=-6.00\ \mu\mathrm{C}/\mathrm{m}^2,\ \sigma_2=+5.00\ \mu\mathrm{C}/\mathrm{m}^2,\ \sigma_3=+2.00\ \mu\mathrm{C}/\mathrm{m}^2,\text{ and }\sigma_4=+4.00\ \mu\mathrm{C}/\mathrm{m}^2\). 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.
Questions & Answers
QUESTION:
Two very large, nonconducting plastic sheets, each 10.0 cm thick, carry uniform charge densities \(\sigma_1,\ \sigma_2,\ \sigma_3\text{, and }\sigma_4\) on their surfaces, as shown in Fig. E22.32. These surface charge densities have the values \(\sigma_1=-6.00\ \mu\mathrm{C}/\mathrm{m}^2,\ \sigma_2=+5.00\ \mu\mathrm{C}/\mathrm{m}^2,\ \sigma_3=+2.00\ \mu\mathrm{C}/\mathrm{m}^2,\text{ and }\sigma_4=+4.00\ \mu\mathrm{C}/\mathrm{m}^2\). 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.
ANSWER:
Solution 32E