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For the system of capacitors shown in Figure 18.43 , find the equivalent capacitance (a) between $b$ and $c,$ (b) between $a$ and $c .$

(a) $C_{\mathrm{eq}}^{\prime}=20.0 \mathrm{pF}$(b) $C_{\mathrm{eq}}^{\prime \prime}=8.60 \mathrm{pF}$

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

Simon Fraser University

McMaster University

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when this problem we want to find equivalent capacitance is for the between two points, two sets of two points. So the first set of two points is between A and B are excuse me between B and C, and those capacitors are in parallel because either end of the capacitors air connected on. And so the equivalent capacitance between B and C is 20. So that's the rules are adding parallel capacitors. Um, is you? If they're in parallel, you just add them. Um, so that's 20. And then was it micro or PICO? It was PICO and then for B When I find the equivalent of essence of the whole thing, so they're in serious you have to do, um, the inverse adding, So see, equivalent one oversee equivalent is one over Um, the so actually, I mean carefully labelled this This is C equivalent um, B c. And then this is gonna be seeing equivalent a c. So this, um, the network of the two parallel resistors are in Siri's with the one of the top This how many appearances that fit this 15 PICO fair I'd want at the top. So we can say that we can inverse add these two because they're in serious. So one over a sea equivalent BC plus one over 15 PICO Farhod. And so PICO fair at it was gonna be this 10 to the minus. Oh, actually, I'll just keep it in your into PICO fair as it will be easier to calculate. And so, um yeah, and then this thing was won over 20. So it's one over 20 plus one over 15 inverted, and I'm just gonna, um So this is to the minus one to get C equivalent a C. And so I'm gonna put that into a calculator. One over 15 plus for over 20. All inverted is 8.57 PICO fad.

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