interval dt.In order to do that we spend dW(t) amount of energy. By definition dW(t)=V(t)dq(t), In short hand notation dW=Vdq. Since the capacitance of capacitor is C=Q/V. when the total charge at point a is Q show that the total energy of capacitor is U- Q? 20 d) For a spherical capacitor and b=x case. show that. U= Q? STE a e) Calculate U by using the given quantities: a=10 cm O

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
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Chapter26: Capacitance And Dielectrics
Section: Chapter Questions
Problem 26.14P: What If? The two capacitors of Problem 13 (C1 = 5.00 F and C2 = 12.0 F) are now connected in series...
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interval dt.In order to do that we spend dW(t) amount of energy. By
definition
dW(1)=V(1)dq(t),
In short hand notation
dW-Vdq
Since the capacitance of capacitor is C=Q/V, when the total charge at point
a is Q show that the total energy of capacitor is
U-Q?
2C
d) For a spherical capacitor and b=x case, show that.
U=-
8TE a
e) Calculate U by using the given quantities: a=10 cm, Q=2x10 C.
Transcribed Image Text:interval dt.In order to do that we spend dW(t) amount of energy. By definition dW(1)=V(1)dq(t), In short hand notation dW-Vdq Since the capacitance of capacitor is C=Q/V, when the total charge at point a is Q show that the total energy of capacitor is U-Q? 2C d) For a spherical capacitor and b=x case, show that. U=- 8TE a e) Calculate U by using the given quantities: a=10 cm, Q=2x10 C.
Question 2
Suppose that there is a spherical capacitor with inner radius a and outer radius
b.
a) Find the capacitance of this conductor in terms of a and b.
b) When the outer radius b goes to infinity, show that
C= 4 nE, a,
c) While you are cheging the capacitor, infinitesimal small charges is moved
from one plate to other one under potential difference V(t) at any time. Thet
charge is called as dq(t), and we move this charge from a to b in time
Transcribed Image Text:Question 2 Suppose that there is a spherical capacitor with inner radius a and outer radius b. a) Find the capacitance of this conductor in terms of a and b. b) When the outer radius b goes to infinity, show that C= 4 nE, a, c) While you are cheging the capacitor, infinitesimal small charges is moved from one plate to other one under potential difference V(t) at any time. Thet charge is called as dq(t), and we move this charge from a to b in time
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