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Electric Potential

AP Physics

Chapter 17

Electric Charge and Electric Field

17.1 Electric Potential Energy and Potential Difference

Electric Potential Energy & Potential Difference

Electricity can be viewed in terms of energy

The electrostatic force is conservative because it depends on displacement

Now

We can calculate this value for a uniform electric field 17.1

WPE FdPE qEdPE

Electric Potential Energy & Potential Difference

Positive test charge – increases when moved against the field

Negative test charge – increases when moved with the field

Electric Potential (Potential) – electric potential energy per unit charge

17.1

q

PEV

Electric Potential Energy & Potential Difference

Only difference in potential are meaningful

Potential Difference (Electric Potential Difference) – is measureable

Measured in volts (after

Alessandro Volta)

17.1

q

PEV

q

PEV

C

JV

1

11

Electric Potential Energy & Potential Difference

If we want a specific potential value at a point, we must pick a zero point.

That point is usually either

A. The ground

B. At an infinite distance

17.1

r

Electric Charge and Electric Field

17.2 Relation between Electric Potential and Electric Field

Relation between Electric Potential & Electric Field

Work

It also is

So pew

17.2

)( ab VVqW VqW

qEdW

qEdVq EdV

Electric Charge and Electric Field

17.3 Equipotential Lines

Equipotential Lines

Equipotential Line or Equipotential Surface – one at which all points are at the same potential

17.3

Equipotential Lines

Must be perpendicular to the electric field

Constant Field

17.3

Equipotential Lines

Must be perpendicular to the electric field

Point Charge

17.3

Equipotential Lines

Must be perpendicular to the electric field

Dipole

17.3

Electric Charge and Electric Field

17.4 The Electron Volt, a Unit of Energy

The Electron Volt

A unit of energy – for electrons, atoms, or molecules

Electron Volt (eV)

17.4

191 1.6 10eV x J

Electric Charge and Electric Field

17.5 Electric Potential Due to Point Charge

Electric Potential Due to Point Charge

Using calculus it can be shown that the electric potential a distance r from a single point charge q is

Assuming that potential is zero at infinity

17.5

qV k

r

Electric Charge and Electric Field

17.7 Capacitance

Capacitance

Capacitor – device that stores electric charge

In RAM,

Camera

Flash,

17.7

Capacitance

Simple capacitors consist of

two plate

The symbol for a capacitor

is

The symbol for a cell is

The symbol for a battery is

17.7

Capacitance

When a potential difference is placed across a capacitor it becomes charged

This process takes a short amount of time

The charge on each plate is the same, but opposite charge

The amount of charge is proportional to the potential difference

A constant C (Capacitance) gives

17.7

Charging a Capacitor

Time for RC Circuit

VQ CVQ

Capacitance

Capacitance – Unit Farad

For a parallel plate capacitor, the capacitance depends on the area of the plates, the distance between the plates

17.7

CVQ

V

CF

1

11

d

AC o

Electric Charge and Electric Field

17.8 Dielectrics

Dielectrics

Most capacitors have an insulator between the plates

Called a Dielectric

Increases the

capacitance by

a factor K

Called the dielectric

constant

17.8d

AKC o

Dielectrics

Some Dielectric Constants

17.8

Material K

Paper 3.7

Glass 5

Rubber 6.7

Mica 7

Strontium Titanate

300

Electric Charge and Electric Field

17.9 Storage of Electric Energy

Storage of Electric Energy

A charged capacitor stores energy

17.9

QVPE 21

221 CVPE

C

QPE

2

21

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