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1. Use some symmetry arguments and relevant EM theory, to show that there is no electric field at any point inside a spherical shell of a uniform surface Charge.

1. Use some symmetry arguments and relevant EM theory, to show that there is no electric field at any point inside a spherical shell of a uniform surface 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
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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1. Use some symmetry arguments and relevant EM theory, to show that there is no electric field at any point inside a spherical shell of a uniform surface Charge. 2. Given two line charges -qe and qe at (r, y) = (-d/2,0) and (x,y) = (d/2,0) respectively. a. Find the electric potential for any point (r, y). b. Based on your answer in (a) derive the electric field. 3. A neutral spherical conductor of radius has a concentric cavity of radius, 6 < a and is centred at the origin. Charge Q is then transferred to the sphere by contact. a. Determine the electric field everywhere. b. Determine the potential everywhere. c. What electrostatic boundary conditions are exhibited here? d. What is the capacitance of the sphere? 4.A 100m long conductor of uniform cross-section has a voltage drop of 4V between its ends. If the density of the current flowing through it is 1.4 x 106(A/m2), identify the material of the conductor. 5. Use the image method to find the capacitance per unit length of an infinitely long conducting cylinder of radius a situated at a distance d from a parallel conducting plane, as shown in Figure 1. Hint: Find E, than find V from E and lastry work out the C. V = 0 Figure 1:
Transcribed Image Text:1. Use some symmetry arguments and relevant EM theory, to show that there is no electric field at any point inside a spherical shell of a uniform surface Charge. 2. Given two line charges -qe and qe at (r, y) = (-d/2,0) and (x,y) = (d/2,0) respectively. a. Find the electric potential for any point (r, y). b. Based on your answer in (a) derive the electric field. 3. A neutral spherical conductor of radius has a concentric cavity of radius, 6 < a and is centred at the origin. Charge Q is then transferred to the sphere by contact. a. Determine the electric field everywhere. b. Determine the potential everywhere. c. What electrostatic boundary conditions are exhibited here? d. What is the capacitance of the sphere? 4.A 100m long conductor of uniform cross-section has a voltage drop of 4V between its ends. If the density of the current flowing through it is 1.4 x 106(A/m2), identify the material of the conductor. 5. Use the image method to find the capacitance per unit length of an infinitely long conducting cylinder of radius a situated at a distance d from a parallel conducting plane, as shown in Figure 1. Hint: Find E, than find V from E and lastry work out the C. V = 0 Figure 1:
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