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A circular disk of radius a is uniformly charged with ps C/m. If the disk lies on the z = 0 plane with its axis along the z-axis, (a) Show that at point (0, 0, h) Ps h E 28. [h? + a']2 (b) From this, derive the E field due to an infinite sheet of charge on the z 0 plane. !! (c) If a «h, show that E is similar to the field due to a point charge.

A circular disk of radius a is uniformly charged with ps C/m. If the disk lies on the z = 0 plane with its axis along the z-axis, (a) Show that at point (0, 0, h) Ps h E 28. [h? + a']2 (b) From this, derive the E field due to an infinite sheet of charge on the z 0 plane. !! (c) If a «h, show that E is similar to the field due to a point charge.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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PRACTICE EXERCISE 4.4 A circular disk of radius a is uniformly charged with ps C/m. If the disk lies on the z = 0 plane with its axis along the z-axis, (a) Show that at point (0, 0, h) Ps h E = 28. a* (b) From this, derive the E field due to an infinite sheet of charge on the z 0 plane. (c) If a « h, show that E is similar to the field due to a point charge.
Transcribed Image Text:PRACTICE EXERCISE 4.4 A circular disk of radius a is uniformly charged with ps C/m. If the disk lies on the z = 0 plane with its axis along the z-axis, (a) Show that at point (0, 0, h) Ps h E = 28. a* (b) From this, derive the E field due to an infinite sheet of charge on the z 0 plane. (c) If a « h, show that E is similar to the field due to a point charge.
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