Question

Consider the combination of capacitors in the figure below. Suppose that C11=1 μμF, C22=5 μμF.

Problems: Electric Potential & Capacitor Deadline: 100% until Sunday, January 27 at 11:59 PM Cumulative Problem 11 1 2 Consider the combination of capacitors in the figure below. Suppose that C1-1 F, C2-5 AF. C1 C2 3 V 1) Calculate the charge stored on the capacitor C1 of this combination. (Express your answer to two significant figures.) You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 2) Calculate the charge stored on the capacitor C2 of this combination. (Express your answer to two significant figures.) You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question.

Answer 1

Solution) Given C1 = 1uF = 1×10^(-6)F

C2 = 5uF = 5×10^(-6) F

Here capacitors are connected in series so same charge exists

We have Q = CV

Here C is capacitance

Q is charge

V is potential difference

Total potential = potential across C1 + potential across C2

V = V1 + V2

From Q =CV

V= Q/C

Q/Ct = Q/C1 + Q/C2

(1/Ct ) = (1/C1) + (1/C2)

Ct = (C1C2)/(C1+C2)

Ct = ((1×10^(-6))×(5×10^(-6))/(1×10^(-6) + 5×10^(-6))

Ct = 0.833×10^(-6) F

Therefore charge Q=Ct(V)

Q= 0.833×10^(-6)×3

Q = 2.499×10^(-6) C

Approximately charge Q=2.5×10^(-6)C = 2.5uC

(1) charge stored on capacitor C1 = Q =2.5uC

(2) charge stored on capacitor C2 =Q = 2.5uC