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Examples on Electric Potential, Capacitance and Dielectric | PHYS 2120, Study notes of Physics

Material Type: Notes; Professor: Farris; Class: Calculus Based Physics II; Subject: Physics; University: Volunteer State Community College; Term: Unknown 1989;

Typology: Study notes

Pre 2010

Uploaded on 08/16/2009

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25.3V&UDuetoPointCharges
Onlythepartsofthepath
(fromAtoB)thatare
parallelto Econtributeto
thepotential
Sothepotentialatadistancerfromapointchargeqis:
Title:Feb208:03AM(1of9)
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25.3 V & U Due to Point Charges

Only the parts of the path

(from A to B) that are

parallel to E contribute to

the potential

So the potential at a distance r from a point charge q is:

If we bring a 2nd point charge into the vicinity of the first, we

can have the potential energy of the system of the two point charges:

If we have a collection of charges, the potential at any point is

just the sum of the potentials of the individual charges.

25.4 Obtaining the Electric Field from a Potential

For example: For a point charge...

25.5 V Due to a Continuous Charge Distribution

25.6 V Due to a Charged Conductor

  1. In a charged conductor, the potential is the same everywhere inside & on the conductor

  2. The surface of the conductor is an equipotential surface.

#1: E = 0 inside the conductor.

  1. The E is also zero everywhere inside a cavity in conductor.

This is the idea behind a Faraday cage a metal enclosure used to protect something inside from external E fields (or to protect the exterior from fields inside the cage.

Ch 26 Capacitance & Dielectrics

26.1 Definition of Capacitance Two conductors carrying equal but opposite charges together form a capacitor. We define the capacitance, C, as the charge stored per unit potential.

We get a new unit (yea!)

1 farad is huge! We'll usually use

Example: If two conductors that will each hold +/ 2.00 μC with a potential difference of 1.50 V, find the capacitance.