Chapter 25, Concept Question 06 Initially, a single capacitance C1 is wired to a
ID: 2033686 • Letter: C
Question
Chapter 25, Concept Question 06 Initially, a single capacitance C1 is wired to a battery. Then capacitance C2 is added in series. (a) Is the potential difference across C1 now more than, less than, or the same as previously? O more than O less than (b) Is the charge 1 on C1 now more than, less than, or the same as O less tharn (c) Is the equivalent capacitance C12 of C1 and C2 more than, less than, or equal to C1? more than O less than (d) Is the charge stored on C1 and C2 together more than, less than, or equal to the charge stored previously on C1? O more than O less tharn O equal toExplanation / Answer
(A) initially, VC1 - V = 0
VC1 = V
then VC1 + VC2 = V
VC1 = V - VC2
as we can see VC1 has decreased.
Ans: less than.
(B) Q1 = (C1) (VC1)
VC1 has decreased so Q1 will also decrease.
Ans: less than
(C) for series,
1/C12 = 1/C1 + 1/C2
C12 = C1 C2 / (C1 + C2) = C1 (C2/(C1 + C2))
so C12 < C1
Ans: less than
(D) previously,
Q = C1 V
then,
Q' = C12 V
C12 < C1
so Q' < Q
Ans: less than
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