Example shown explored a cylindrical capacitor of length , with radii a and b for the two conductors. In the What If? section of that example, it was claimed that increasing , by 10% is more effective in terms of increasing the capacitance than increasing a by 10% if b > 2.85a. Verify this claim mathematically. A solid cylindrical conductor of radius a is coaxial with acylindrical shell of negligible thickness and radius b > a(Fig. 25.4a). Find the capacitance of this cylindrical capac-itor if its length is e » b.-QaFigure 25.4 (Example 25.1) (a) A cylindrical capacitor consistsof a solid cylindrical conductor of radius a and length € sur-rounded by a coaxial cylindrical shell of radius b. (b) End view ofthe capacitor if it is charged. The electric field lines are radial.

Given: The radii of cylindrical capacitor are a and b for the two conductors and each have length l.…

Answered: A solid cylindrical conductor of radius…

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter26: Capacitance And Dielectrics

Section: Chapter Questions

Problem 26.12OQ: (i) Rank the following five capacitors from greatest to smallest capacitance, noting any cases of...

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Example shown explored a cylindrical capacitor of length , with radii a and b for the two conductors. In the What If? section of that example, it was claimed that increasing , by 10% is more effective in terms of increasing the capacitance than increasing a by 10% if b > 2.85a. Verify this claim mathematically.

A solid cylindrical conductor of radius a is coaxial with a
cylindrical shell of negligible thickness and radius b > a
(Fig. 25.4a). Find the capacitance of this cylindrical capac-
itor if its length is e » b.
-Q
a
Figure 25.4 (Example 25.1) (a) A cylindrical capacitor consists
of a solid cylindrical conductor of radius a and length € sur-
rounded by a coaxial cylindrical shell of radius b. (b) End view of
the capacitor if it is charged. The electric field lines are radial.

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