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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 to

Explanation / 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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