(a) The capacitance of this capacitor.Q111 x 10-12 F/mC =(True, False)%3D%3DVa - V,Sb EdrJra nEor21rararara(b) The potential difference V = Va - V, is:V = Va - V =(ro Edr =Qdr%3=(True, False)Tra 4reor24περra4TEO (Va -V) and therefore V, – Va = n - a! - (True, False)to(c) If (b) is true then Q =- Vr - Va =ra(d) The potential Va relative to infinity isE dr =Qdr =1= Va - V,Va - Voo =Edr =Edr +4meor24περrait follows that if the potential at infinity is set to zero then V = 0 and hence Vo = V and therefore if (c) is true Vr = V+(True,False) A spherical capacitor.Inner shell, charge +0Gaussian surfaceEOuter shell, charge -QE=0-QE=0+0Figure 2:2. Two concentric spherical conducting shells are separated by vacuum (Fig. 24.5). The inner shell has total charge +Q and outer radius raand the outer shell has charge -Q and inner radius r.

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2. Two concentric spherical conducting shells are separated by vacuum (Fig. 24.5). The inner shell has total charge +Q and outer radius ra and the outer shell has charge -Q and inner radius r.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter7: Electric Potential

Section: Chapter Questions

Problem 100AP: A point charge of q=50108 C is placed at the center of an uncharged spherical conducting shell of...

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Question

(a) The capacitance of this capacitor.
Q
111 x 10-12 F/m
C =
(True, False)
%3D
%3D
Va - V,
Sb Edr
Jra nEor2
1
ra
ra
ra
ra
(b) The potential difference V = Va - V, is:
V = Va - V =
(ro Edr =
Q
dr%3=
(True, False)
Tra 4reor2
4περ
ra
4TEO (Va -V) and therefore V, – Va = n - a
! - (True, False)
to
(c) If (b) is true then Q =
- Vr - Va =
ra
(d) The potential Va relative to infinity is
E dr =
Q
dr =
1
= Va - V,
Va - Voo =
Edr =
Edr +
4meor2
4περ
ra
it follows that if the potential at infinity is set to zero then V = 0 and hence Vo = V and therefore if (c) is true Vr = V+
(True,False)

A spherical capacitor.
Inner shell, charge +0
Gaussian surface
E
Outer shell, charge -Q
E=0
-Q
E=0
+0
Figure 2:
2. Two concentric spherical conducting shells are separated by vacuum (Fig. 24.5). The inner shell has total charge +Q and outer radius ra
and the outer shell has charge -Q and inner radius r.

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