Question

A circuit consists of three unequal capacitors C1, C2, and C3 which are connected to a battery of voltage V0. The capacitance of C2 is twice that of C1. The capacitance of C3 is three times that of C1. The capacitors obtain charges Q1, Q2, and Q3. Compare Q1, Q2, and Q3 and state which of the following statements are true: A. Q1 > Q3 > Q2 B. Q1 > Q2 > Q3 C. Q1 > Q2 = Q3 D. Q1 = Q2 = Q3 E. Q1 < Q2 = Q3

Answer 1

Answer:

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Explanation:

A circuit consists of three unequal capacitors C1, C2, and C3 which are connected to a battery of voltage VO. The capacitance of C2 is twice that of C1. The capacitance of C3 is three times that of C1. The capacitors obtain charges Q1, Q2, and Q3.

C2

Capacitor Network: Question 1 (N = 113)

Vo =

40%

C

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Compare Q1, Q2, and Q3.

Q1 > Q3 > Q2 Q1 > Q2 >

> Q3 Q1 > Q2 Q1 = Q2 = 0 Q1 < Q2 =

Great response Q2 and Q3 will be the same since C2 and C3 are in series. The capacitance of the series C2 and C3 is 1.2 times the capacitance of C1. Vo voltage will be running through the two parallel branches, so C1 will have less charge than C2 and C3 because C2 and C3 have a combined capacitance of 1.2C, where C is the capacitance of C1.

A circuit consists of three unequal capacitors C1, C2, and C3 which are connected to a battery of voltage Vo. The capacitance of C2 is twice that of C1. The capacitance of C3 is three times that of C1. The capacitors obtain charges Q1, Q2, and Q3.

Vo =

C1=C+! +30 Compare Q1, Q2, and Q3.

• Vo = Vc1 = Vc23 Q1 > Q3 > Q2 Q1 > Q2 > Q3

· Which is larger? C1 or C23? Q1 > = Q3

• C23 = (1+1)=C SO, C23 > C1 Q1 < Q2 = Q3 • Recall Q2 = Q3 for series capacitors = Q23

• Q = CV • V's the same, so Q23 > Q1 since C23 > C1

= Q3

Q1 =