(a) Consider two thin, conducting, spherical shells as shown in Figure 3(a). The inner shell has a radius r₁= 17.1 cm and a charge q₁ +10.7 nC. The outer shell has a radius r₂ = 25.9cm and a charge q2 = -30.0 nC. i) Calculate the electric potential V at r = 12.1cm, r = 21.0cm, and r = 42.3cm (with V = 0 at r = ∞o). ii) If q₁ and q2 are removed from the inner and the outer shells, then the shells are connected by a thin wire (Figure 3(b)), and a total charge Q = 10.0 µC is placed on the whole system, how much charge settles on each sphere? (b) (a) n 11 12 C B 12 Wire C B A

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(a) Consider two thin, conducting, spherical shells as shown in Figure 3(a). The inner shell has a radius r₁=
17.1 cm and a charge q₁ +10.7 nC. The outer shell has a radius r₂ = 25.9cm and a charge q2 = -30.0
nC.
i)
Calculate the electric potential V at r = 12.1cm, r = 21.0cm, and r = 42.3cm (with V = 0 at r = ∞o).
ii)
If q₁ and q2 are removed from the inner and the outer shells, then the shells are connected by a thin
wire (Figure 3(b)), and a total charge Q = 10.0 µC is placed on the whole system, how much charge
settles on each sphere?
(b)
(a)
n
11
C
B
12
Wire
C
B
A
12
10'
Transcribed Image Text:(a) Consider two thin, conducting, spherical shells as shown in Figure 3(a). The inner shell has a radius r₁= 17.1 cm and a charge q₁ +10.7 nC. The outer shell has a radius r₂ = 25.9cm and a charge q2 = -30.0 nC. i) Calculate the electric potential V at r = 12.1cm, r = 21.0cm, and r = 42.3cm (with V = 0 at r = ∞o). ii) If q₁ and q2 are removed from the inner and the outer shells, then the shells are connected by a thin wire (Figure 3(b)), and a total charge Q = 10.0 µC is placed on the whole system, how much charge settles on each sphere? (b) (a) n 11 C B 12 Wire C B A 12 10'
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