February 10 1CAPACITORS
A. Great B. Good C. Not So Good D. Bad E. Don’t turn your back!
Today ◦ Examination I ◦ Complete Capacitors Friday DC Circuits Play with batteries, wires and light bulbs Watch for WebAssign. Next Week – More of the same
Two pieces of metal close to one another but they don’t touch. Real World Charge has no place to go!
Single Piece of Metal. Not connected to anything electrons
q -q Charge is the same for every capacitor in a series “string”
q -q Wires are equipotentials … sort of. C 1 C 2
q -q C 1 C 2 V 1 V 2 VTVT
VTVT
One Single Conductor Model
C1 C2 Calculate the combined capacitance C1= C2= C1||c2= Measure=__
(C1+C2) series =
Determine the equivalent capacitance between A and B for the group of capacitors in the drawing. Let C 1 = 14 µF and C 2 = 5.0 µF.
A capacitor which acquires a charge of 1 coulomb on each plate with the application of one volt is defined to have a capacitance of 1 FARAD One Farad is one Coulomb/Volt
The capacitance of a parallel plate capacitor depends only on the Area and separation between the plates. C is dependent only on the geometry of the device!
DIELECTRIC
Some LOCAL ordering Larger Scale Ordering
- + Net effect REDUCES the field
APPLICATION OF GAUSS’ LAW
C 0 = Vacuum or air Value C = With dielectric in place C= C 0