A conducting sphere S₁ of radius r is at- tached to an insulating handle. Another conducting sphere S₂ of radius R is mounted on an insulating stand. S₂ is ini- tially uncharged. S₁ is given a charge Q, brought into contact with S₂ and removed. S₁ is recharged such that the charge on it is again Q; and it is again brought into contact with S₂ and removed. This procedure is repeated » times. a. Find the electrostatic energy of S₂ after n such contacts with S₁. b. What is the limiting value of this energy as n → ∞?
A conducting sphere S₁ of radius r is at- tached to an insulating handle. Another conducting sphere S₂ of radius R is mounted on an insulating stand. S₂ is ini- tially uncharged. S₁ is given a charge Q, brought into contact with S₂ and removed. S₁ is recharged such that the charge on it is again Q; and it is again brought into contact with S₂ and removed. This procedure is repeated » times. a. Find the electrostatic energy of S₂ after n such contacts with S₁. b. What is the limiting value of this energy as n → ∞?
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Transcribed Image Text:A conducting sphere S₁ of radius r is at-
tached to an insulating handle. Another conducting sphere
S₂ of radius R is mounted on an insulating stand. S₂ is ini-
tially uncharged.
S₁ is given a charge Q, brought into contact with S₂ and
removed. S₁ is recharged such that the charge on it is again
Q; and it is again brought into contact with S₂ and removed.
This procedure is repeated » times.
a. Find the electrostatic energy of S₂ after n such contacts
with S₁.
b. What is the limiting value of this energy as n → ∞?
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