UPIIfa16Lect14RVBB - RC Circuits Circuits that contain both a resistor R and a capacitor C Lecture 14 RC Circuits(Resistor Capacitor Capacitance

UPIIfa16Lect14RVBB - RC Circuits Circuits that contain both...

This preview shows page 1 - 2 out of 6 pages.

Lecture 14 RC Circuits (R esistor C apacitor) RC Circuits: Circuits that contain both a resistor R and a capacitor C Capacitance integral to electrical circuits because wherever there are conductors, there is capacitance How does a battery charge a capacitor? Charging of a capacitor is not instantaneous. The time it takes to charge the capacitor depends on capacitance and resistance of the charging circuit. Q t Q t Q = C 1 V 1 Q = C 2 V 2 ! V ab + ! V bc + ! V ca = 0 - Q/C 1 - Q/C 2 + V = 0 Capacitors in Series When capacitors are connected in series , they all have the same charge . V is magnitude of potential difference Kirchhoffs loop rule ! " ! \$ % & %( ) &( %( &( * + 1 2 Q Q V = + C C eq 1 2 Q Q Q = + C C C eq 1 2 1 1 1 = + C C C Generalizing: (capacitors in series) i eq i 1 1 = C C ! Q 1 = C 1 V Q 2 = C 2 V Q 3 = C 3 V Q 1 + Q 2 + Q 3 = C eq V Charges on individual capacitors are Using Q 1 = C 1 ! V, etc., gives C 1 V + C 2 V + C 3 V = C eq V C 1 + C 2 + C 3 = C eq (after dividing both sides by V) Generalizing: (capacitors in parallel) Capacitors connected in parallel have the same voltage change across each capacitor.

You've reached the end of your free preview.

Want to read all 6 pages?

• Spring '08
• Stewart

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern