please make sure you do all parts and you have the right answers. For the circui

ID: 1468733 • Letter: P

Question

please make sure you do all parts and you have the right answers.

For the circuit shown in the figure below, the capacitors were each discharged before being connected to the voltage source V = 183 V.

(a) Find the equivalent capacitance of the combination.
..... µF

(b) Find the charge stored on the positively charged plate of each capacitor.

(d) Find the energy stored in each capacitor.

15.0 µF capacitor .... C 4.0 µF capacitor .... C 12.0 µF capacitor .... C

Hello, C1 = 4 µF C2 = 15µF C3 = 12µF.

A) we see that we have 3 capacitors in the red- the first two in series, in parallel with the third

Ceq = (1/15µF + 1/4.0 µF)-1 + 12.0 µF

Ceq = 15,15 µF

B) As the first two capacitors are in series, the charge stored in thoses capacitors is the same. so

Vc12 = Q12 / Ceq12

Q12 = 183 * (1/15µF + 1/4.0 µF)-1 = 183* 3,15µF

Q12 =570 C

Q3 = Vc3 / C3 = 183/ 12.0 µF

Q3 = 2190 C.

C) Vc1 =Q12 / C1 = 570 C / 4 µF = 142,5 V

Vc2 = Q12 / C2 = 570 C / 15 µF = 40,5 V

Vc3 = Q3 / C·3 = 2190 C./ 12 µF = 183 V

D) W = Q2 / 2C

W1 = Q12 / 2C1 = (570 C)2 / 2*4 µF = 40,5 mJ

W2 = Q12 / 2C2 = (570 C)2 / 2*15 µF = 10,8 mJ

W3 = Q3 / 2C3 = (2190 C)2 / 2*12 µF = 199,8 mJ

Regards

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.