A circuit is constructed with five capacitors and a battery as shown. The values

Question

A circuit is constructed with five capacitors and a battery as shown. The values for the capacitors are: C1-C5-5.8 F, C2-1.4 F, C3-6.6 F, and C4-3.1 F. The battery voltage is V-12 V 1) What is Cab the equivalent capacitance between points a and b? F Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 2) What is Cac, the equivalent capacitance between points a and c? 2.155 You currently have 1 submissions for this question. Only 10 submission are allowed. You can make 9 more submissions for this question. F Submit Your submissions: 2.155X Computed value: 2.155 Feedback: Submitted: Monday, October 30 at 3:53 PM 3) What is Q5, the charge on capacitor C? 0.63 C Submit You currently have 1 submissions for this question. Only 10 submission are allowed. You can make 9 more submissions for this question. Your submissions: 0.63 Computed value: 0.63 Feedback: X Submitted: Monday, October 30 at 3:54 PM 4) What is Qz, the charge on C2? C Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 5) What is Q, the charge on capacitor C1? Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 6) What is V4, the voltage across capacitor C4? Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question.

Explanation / Answer

1)

C23 = C2*C3/(C2+C3)

Cab = C4 + C23 = 3.1 + 1.4*6.6/(1.4+6.6) = 4.255 F

2)

Cac = C1*Cab/(C1 + Cab)

Cac = 5.8*4.255/(5.8+4.255) = 2.45 F

3)

Cequ = C5*Cac/(C5+Cac)

Q5 = Cequ*V

Q5 =12* 5.8*2.45/(5.8+2.45) = 20.69 C

4)

Vab = V - 2Vbc = V - 2*Q5/C5

Vab = Q2/C2 + Q2/C3

Q2 = Vab*C2*C3/(C2+C3)

Vab = 12 - 2*20.69/5.8 = 4.86 V

Q2 = 4.86*1.4*6.6/(1.4+6.6) = 5.61 C

5)

Q1 = Q5

Q1 = V*C5*Cac/(C5+Cac)

Q1 = 20.69 C

6)

V4 = Vab = 12 - 2*20.69/5.8 = 4.86 V

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