Answered: Explain why Gauss’s law cannot be used…

Explain why Gauss’s law cannot be used to calculate the electric field near an electric dipole, a charged disk, or a triangle with a point charge at each corner.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter5: Electric Charges And Fields

Section: Chapter Questions

Problem 27CQ: Give a plausible argument as to why the electric field outside an infinite charged sheet is...

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

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If more electric field lines leave a gaussian surface than enter it, what can you conclude about the net charge enclosed by that surface?
An infinitely long line charge having a uniform charge per unit length lies a distance d from point O as shown in Figure P24.17. Determine the total electric flux through the surface of a sphere of radius R centered at O resulting from this line charge. Consider both cases, where (a) R d and (b) R d.
(a) Find the net electric flux through the cube shown in Figure P23.17. (b) Can you use Gausss law to find the electric field on the surface of this cube? Explain. Figure P23.17
Example 23.3 derives the exact expression for the electric field at a point on the axis of a uniformly charged disk. Consider a disk of radius R = 3.00 cm having a uniformly distributed charge of +5.20 C. (a) Using the result of Example 23.3, compute the electric field at a point on the axis and 3.00 mm from the center. (b) What If? Explain how the answer to part (a) compares with the field computed from the near-field approximation E = /20. (We derived this expression in Example 23.3.) (c) Using the result of Example 23.3, compute the electric field at a point on the axis and 30.0 cm from the center of the disk. (d) What If? Explain how the answer to part (c) compares with the electric field obtained by treating the disk as a +5.20-C charged particle at a distance of 30.0 cm.
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