two connected bodies having respective capacitance c1 and c2 are charged with a total charge q the potential of the bodies are
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Answer:
potential of connected bodies is Q/(C1 + C2)
Explanation:
The 2 bodies are connected. That means the potential / voltage of the 2 bodies is same.
V1 = V2
From equation Q = VC, where Q is charnge, V is potential and C is capacitance.
V1 = Q1/C1 (Q1 – Chanrge of first body)
V2 = Q2/C2 _Q2 is Chanrge of second body)
Q1/C1 = Q2/C2
Q1 = C1 * Q2/C2
The total charge of the connected bodies is Q.
That is Q1 + Q2 = Q
C1*Q2/C2 + Q2 = Q
Q2 * (C1 + C2)/C2 = Q
Q2 = C2 * Q/(C1 +C2)
V1 = V2 = Q2/C2 = Q/(C1 + C2)
Hence potential of connected bodies is Q/(C1 + C2)
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