Physics 1161: Lecture 05 Capacitors Textbook Sections 20-5 – 20-6

The most confusing is the voltage and the enegry required to move certain things. I am still a little confussed with the circuit curaint portion. I find #4 to be very confusing just due to the fact that I am not fully understanding the process of how everything works with this yet. i didn't really understand #4 i don't think it's labeled very well I am concerned that I should be reading something prior to these preflights because I have no knowledge about any of the material in this preflight. the idea of a capacitance I think I just need to here the difference between V,Q,E,and what happens when a current passes through a capacitor. right now, all of it is confusing. I am very confused about circuits. I have tried to read the text on them, but it is very confusing and we have not discussed them in class. I am not certain of my answers, and I look forward to going over these in class. It is hard to visualize how capacitors will work together in a circuit. I dno't quite understand how the potential energy changes. There are an awful lot of variables to keep track of at this point, which makes things fairly confusing for me. I like learning about capacitors because they are used in a lot of things and it's nice to know how they work.

Example Capacitance Practice How much charge is on a 0.9 F capacitor which has a potential difference of 200 Volts? Q = CV = (0.9)(200) = 180 Coulombs How much energy is stored in this capacitor? U = ½ Q V = ½ (180) (200) = 18,000 Joules!

Parallel Plate Capacitor C = e0A/d Example Parallel Plate Capacitor C = e0A/d Calculate the capacitance of a parallel plate capacitor made from two large square metal sheets 1.3 m on a side, separated by 0.1 m. A A Here note that this is small number for such a big device. How do they make “real” capacitors? d

A parallel plate capacitor is given a charge q A parallel plate capacitor is given a charge q. The plates are then pulled a small distance further apart. What happens to the charge q on each plate of the capacitor? +q -q + - d pull Increases Constant Decreases

A parallel plate capacitor is given a charge q A parallel plate capacitor is given a charge q. The plates are then pulled a small distance further apart. What happens to the charge q on each plate of the capacitor? +q -q + - d pull Increases Constant Decreases Remember charge is real/physical. There is no place for the charges to go.

+q -q + - d pull Preflight 5.1 A parallel plate capacitor is given a charge q. The plates are then pulled a small distance further apart. Which of the following apply to the situation after the plates have been moved? 1)The capacitance increases True False 2)The electric field increases True False 3)The voltage between the plates increases True False 4)The energy stored in the capacitor increases True False 40% C = e0A/d C decreases! 50% E= Q/(e0A) Constant 55% V= Ed 70% U = ½QV

Preflight 5.2 Two identical parallel plate capacitors are shown in end-view in A) of the figure. Each has a capacitance of C. A ) B ) If the two are joined as in (B) of the figure, forming a single capacitor, what is the final capacitance? 70% 1) 2C 2) C 3) C/2 25% 5%

Example Parallel Practice A 4 mF capacitor and 6 mF capacitor are connected in parallel and charged to 5 volts. Calculate Ceq, and the charge on each capacitor. Ceq = C4+C6 = 4 mF+6 mF = 10 mF Q4 = C4 V4 = (4 mF)(5 V) = 20 mC Q6 = C6 V6 = (6 mF)(5 V) = 30 mC Qeq = Ceq Veq = (10 mF)(5 V) = 50 mC = Q4+ Q6 V = 5 V 5 V 5 V 5 V C4 C6 Ceq 0 V 0 V 0 V Physics 1161: Lecture 4, Slide 9

Example Series Practice Q = CV A 4 mF capacitor and 6 mF capacitor are connected in series and charged to 5 volts. Calculate Ceq, and the charge on the 4 mF capacitor. Example Q = CV 5 V +Q -Q 5 V 0 V +Q -Q + C4 + - - Ceq +Q -Q + C6 - 0 V

Comparison: Series vs. Parallel Can follow a wire from one element to the other with no branches in between. Parallel Can find a loop of wire containing both elements but no others (may have branches). C1 C2 C2 C1

Preflight 5.4 A circuit consists of three initially uncharged capacitors C1, C2, and C3, which are then connected to a battery of emf E. The capacitors obtain charges q1, q2,q3, and have voltages across their plates V1, V2, and V3. q1 = q2 q2 = q3 V2 = V3 E = V1 V1 < V2 Ceq > C1 C 2 3 1 E + - -q2 +q1 -q1 +q3 -q3 +q2 V1 V2 V3

Preflight 5.4 A circuit consists of three initially uncharged capacitors C1, C2, and C3, which are then connected to a battery of emf E. The capacitors obtain charges q1, q2,q3, and have voltages across their plates V1, V2, and V3. C 2 3 1 E + - -q2 +q1 -q1 +q3 -q3 +q2 V1 V2 V3 35% 1) q1 = q2 Not necessarily C1 and C2 are NOT in series. 55% 2) q2 = q3 Yes! C2 and C3 are in series.

Preflight 5.4 A circuit consists of three initially uncharged capacitors C1, C2, and C3, which are then connected to a battery of emf E. The capacitors obtain charges q1, q2,q3, and have voltages across their plates V1, V2, and V3. C 2 3 1 E + - -q2 +q1 -q1 +q3 -q3 +q2 V1 V2 V3 10V 0V 7V?? 45% 3) V2 = V3 Not necessarily, only if C2 = C3 55% 4) E = V1 Yes! Both ends are connected by wires

Preflight 5.4 A circuit consists of three initially uncharged capacitors C1, C2, and C3, which are then connected to a battery of emf E. The capacitors obtain charges q1, q2,q3, and have voltages across their plates V1, V2, and V3. C 2 3 1 E + - -q2 +q1 -q1 +q3 -q3 +q2 V1 V2 V3 10V 0V 7V?? 15% 5) V1 < V2 Nope, V1 > V2. (E.g. V1 = 10-0, V2 =10-7 50% 6) Ceq > C1 Yes! C1 is in parallel with C23 (Ceq = C1 + C23)

Battery Batteries produce electrons through chemical reactions.  http://electronics.howstuffworks.com/battery.htm

Recap of Today’s Lecture Capacitance C = Q/V Parallel Plate: C = 0A/d Dielectric: C = kCo (k is dielectric constant) Capacitors in parallel: Ceq = C1+C2 Capacitors in series: Ceq = 1/(1/C1+1/C2) Batteries provide fixed potential difference