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For the capacitor network shown in Figure 18.51 , the potential difference across $a b$ is 12.0 V. Find (a) the total energy stored in this network and (b) the energy stored in the 4.80$\mu$ F capacitor.

a) $U_{t}=158.0 \mu \mathrm{J}$b) $U_{4}=72.0 \mu \mathrm{J}$

Physics 101 Mechanics

Physics 102 Electricity and Magnetism

Chapter 18

Electric Potential and Capacitanc

Kinetic Energy

Potential Energy

Energy Conservation

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Capacitance and Dielectrics

Cornell University

Rutgers, The State University of New Jersey

Simon Fraser University

University of Winnipeg

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billings. This question we have sis network has elicited from this figure. And we know that the potential difference between A and B is for baby equals 12 point Cyril Bolts. And we want to find the total energy stored in this entire system as the energy stored in this particular capacitance and stories. This particular capacitor. So the first thing, but you do know is it's easiest if we start finding easy equivalent capacitors for this entire system. Okay, Um so less prester from cease our cause is want you 345 just to make it easier to tell what I'm working on. See story for So these are two in Siri's. So what is this to get, sir? It's 6.2 and her parents plus one over 11.8. Mycroft parent and discuss for 0.6 Micro farrant is held. We have thiss a parallel with Steve five So sees 345 in total equal Caesar for plus C five equals four point 06 micro ferret plus three point 50 micro farrant equals 7.56 Micro Tharit Ok, eso salah Assuming each do is we have we have the street for five as a whole. Eggs theories with one and two. So so final. See, Toto equals well over over several press will oversee two plus one overseas 345 which is equal to while over 8.6 plus one over 4.8 plus one over seven point 56 And this gives us a total off. This posi in Trump's of Micro Farage is two point 19 micro fire in't. Okay, so now we have some equivalent capacitance of this entire system. And what is the total Energy store? Energy store is well, half of city square. So well off times. See, twat Twat is to put 19 times tent Easy, detective six parent times 12 with zero votes square, which is put if I've aged times teaches Adapted for jar, which is 158 microchip. Okay. Partly asked us What is energy stored in 4.8 micro Very capacity. If we look at this capacitor one C that we could tell Assad it isthe is it is a serious it is connected in serious in it is is a main branches star is a parallel bridges is in the main bridge. What that means is that and well, the charge letters, the charges thiss capacitance will be the same is the charges owns a gentile A B system. So cue all capacitors to is capacitor to is equal to cue off. Maybe so is that is equal to 2.88 times. Chris, just write it up too. When areas see over total time speak and which is to 0.19 times turned his negative six parent times 12 point sirrah balls, which is 2.63 times 10 to z detective five uh, cool. So this is a charge and and always this charge will be able to find us energy because you equals well half off Stevie Scream, which is equal to, well, half of houska overseas. So you do this. What we have is two point sixthree. I'm staying to the inductive five column square divided by two times 4.80 times 10 to the negative sexy parent and officer That gives us seven point. You want top stair to the neck to five job which is equal to civil deed to put one microchip. So that is the energy stored is ah so stuck in a capacitor along and just actually makes up a huge amount of the total, and she sort is this network.

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