Answered: ()- ar ae kpQd (b) Explain why F is…

()- ar ae kpQd (b) Explain why F is equal to the following double integral, and evaluate: R F = kp Qd r dr de (r2 + d²}3/2 P Charged plate d R 40 Ar FIGURE 21

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter9: Condensed Matter Physics

Section: Chapter Questions

Problem 74P: Show that for V less than zero, InetI0.

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Concept explainers

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.

Question

According to Coulomb's Law, the attractive force between two electric charges of magnitude q₁ and q₂ separated by a distance r is kq₁q₂/r² (k is a constant). Let F be the net force on a charged particle P of charge Q coulombs located d centimeters above the center of a circular disk of radius R, with a uniform charge distribution of density p coulombs per square meter (as shoown). By symmetry, Facts in the vertical direction. (a) Let R be a small polar rectangle of size Δr x Δθ ocated at distance r. Show that R exerts a force on P whose vertical component is

()- ar ae
kpQd
(b) Explain why F is equal to the following double integral, and evaluate:
R
F = kp Qd
r dr de
(r2 + d²}3/2
P
Charged plate
d
R
40
Ar
FIGURE 21

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