Circuits I

A capacitor consists of two _______ or ______ of any shape. The conductors have charges of equal _______ and opposite ______ (__), and a _________ ________ (__) between them. Net charge on a capacitor is ______. When we talk about the charge on a capacitor, we always mean the magnitude of charge on either plate which is + Q. We say that the capacitor stores ______.

In a capacitor, the electric field strength E and the potential difference ΔV_C _______ as the charge on each electrode ________. Define the capacitance, C and state the identity

In a capacitor, when a SMALL amount of +charge is moved from one _____ to the other, the electric field and potential difference ΔV are _____. When MORE charge is moved from one ______ to another, the electric field and potential difference _______

Capacitance is always _______. The SI unit of capacitance is a ______ (__). Typically you will see units of ________ (__) and _______ (__).
The capacitance of a device depends on the ________ arrangement of the conductors: 
♜______, _____, and _______ of the two electrodes
♜ A capacitor with a ______ ______ holds more charge for a given potential difference than one with _______ _______

The field is _______ in the central region between the plates, and is _______ at the edges of the plates

As long as the separation between the plates is _____ compared with the dimensions of plates, the edge effects can be ignored

What must take place in order to charge a capacitor? The simplest way to do this is to use a source of _______ ________ such as a battery. A battery uses its internal chemistry to maintain a fixed _______ ________ between its ________

Charge flows from the top electrode leaving it _______. The charge then flows through the ______ which acts as a _______ ______. The charge ends up on the bottom electrode, making it _______ charged. 

The movement of the charge stops when ΔV_C is equal to the ______ ______. The capacitor is then ______ ______

If the battery is removed the capacitor _______ ________, with ΔV_C equal to the _______ ________

Two parallel plates of equal area (A) separated by a distance (d) (assume vacuum in between the 2 plates)

d << dimensions of the plates, so ______ effects can be ignored. Magnitude of the charge per unit area on either plate is: 
σ = ____
Electric field is ______ between the plates and _____ elsewhere. 
E = _____ = _____ and ΔV = _____ = _____
C = ____ = _____

Define dielectric and give 3 examples
If the dielectric completely fills the space between the plates, the capacitance ________ by the dimensionless factor κ, called the ______ ______ of the material:
C_{with dielectric} = ________

Polar molecules are _______ oriented in the absence of an external electric field. When an external electric field is applied, the molecules partially _______ with the field. The charged edges of the dielectric can be modeled as an additional pair of _______ ______ establishing an ______ _____ (___) in the direction opposite that of _____

Label the diagram

Field (arrow right above) due to _______ ______ on dielectric.
(Blue arrow): The net field is the vector sum of the _______ field and the field due to the _______

State 3-story for Case 1
Then state what happens to:
C
Q
V
E
U_E (check this answer with prof.)

State 3-story for Case 2
Then state what happens to:
C
Q
V
E

For a parallel-plate capacitor with dielectric:
C = ______
In theory, d could be made very small to create a very ______ capacitance. 
In practice, there is a limit to d (explain). For a given d, the maximum voltage that can be applied to a capacitor without causing a discharge depends on the _______ ______ of the material

A dielectric provides the following advantages (3):

The work done in charging the capacitor appears as ______ ______ ______ (___). Or a charged capacitor stores energy as ______ ______ _____: 
U_E = _____ = _____ = _____ = _____
This applies to a capacitor of any _______
The energy stored increase as the charge ______ and as the potential difference ______. In practice, there is a ______ voltage before discharge occurs between the plates

A capacitor can charge very slowly and then can release the energy very _______. A medical application of this ability to rapidly deliver energy is the ________. 
Define Fibrillation

The energy stored in a capacitor can be modeled as being stored in the electric field between the plates of the capacitor:
U_E = ______ = ______
The energy per unit volume, called the energy density, is:
u_E = ________ = ______
The energy density in any electric field is _______ to the square of the magnitude of the electric field at a given point. The energy density has units ______