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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Chapter1: Units, Trigonometry. And Vectors
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(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)
Transcribed Image Text:(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.
Transcribed Image Text: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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