Assignment open Assignment Chapter 23, Problem 13 It is found experimentally tha

Question

Assignment open Assignment Chapter 23, Problem 13 It is found experimentally that the electric field in a certain region of Earth's atmosphere is directed vertically 4 down. At an altitude of 289 m the field has magnitude 74.4 N/C; at an altitude of 203 m, the magnitude is Cheets Problemi 108.5 N/C. Find the net amount of charge (in C) contained in a cube 86 m on edge, with horizontal faces at altitudes of 203 and 289 m. Click if you would like to show Work for this questioni Review Results by Study Objective By accessing this Question Assistance, you wil learn while you earn points based on the Pont Potential Policy set by your instructor Question Attempts: Unlimited SAveroa Area SREMITANSAERI 2000 2012 by John Sons Inc. or related companies. Al rights reserved.

Explanation / Answer

here

As the field is vertical, there is only flux through the horizontal faces. The upper face has a field of 74.4N/C across an area of (86*86) = 7396 m^2

so the total flux through this surface is = 74.4 * 7396 = 550262.4 Nm^2/C

Similarly, the flux through the lower surface = 108.5 * 7396 = 802466 Nm^2/C

The net flux through the surface then is = 802466 - 550262.4 = 252203.6 Nm^2/C

by Gauss' Law

Fluxnet = Qtot / epsilon0

Qtot = Fluxnet * epsilon0 = 252203.6 * 8.8542 * 10^-12

Qtot = 2.23 * 10^-6 C

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