Electric Fields and Current: Concepts and Applications, Study notes of Physics

An introduction to electric fields, the behavior of point charges, and the concept of electric potential. It also covers the relationship between electric potential and electric potential energy, the role of conductors in storing electrical energy, and the concept of electric current. Examples and explanations of various phenomena related to electric fields and current, such as the difference between electric and gravitational forces, the role of resistance in conduction, and the impact of collisions on the movement of electrons.

Typology: Study notes

Pre 2010

Uploaded on 03/18/2009

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Field concept: just a reformulation
We already said that the
force between 2 charges
is F = kqQ/r2.
Q
q
rThe electric field of a point
charge Qis kQ/r2
The force on q is by def.
F= qE = kqQ/r2
“test charge”
Note analogy to gravity:
Field g=GM/r2,
Force mg= GMm/r2
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Field concept: just a reformulation

  • We already said that the force between 2 charges is F = kqQ/r 2.

Q

q

r

  • The electric field of a point charge Q is kQ / r^2
    • The force on q is by def. F = qE = kqQ / r^2

“test charge”

Note analogy to gravity: Field g=GM/r^2 , Force mg= GMm/r^2

A main difference between gravitational and

electric forces is that electric forces

A) obey the inverse-square law.

B) act over shorter distances.

C) are weaker.

D) attract.

E) repel or attract.

Quickie

Energy is stored in an electric field!

It’s a form of potential energy and defined in terms of electric potential. If we bring 2 charges together, they exert a force on each other for t he distance over which you bring them together—you must do work, and you store potential energy!

electric potential = electric potential energy / charge

The units of potential are volts: 1 volt = 1 Joule / 1 Coulomb

Electric potential

We can store electrical energy in many ways, e.g. batteries. Energy is stored whenever + and – charges are kept separated.

Simplest device: capacitor (2 charged metal plates)

Energy storage

Many devices use this electrical potential energy: camera flashes, TV sets...

What’s current exactly? Suppose electric charges were balls rolling down a tube: it would be easy to count how many balls passed a point A in a given time.

If we looked at any given interval, there might be 3 balls passi ng, or 0. But on the average there would be a certain number passing A per time. If each ball carried a charge q , we could also in principle count the average number of Coulombs which passed per time. Define

Electric current

A

We said some things conduct better than

others. A measure of how well something

conducts is its resistance. Things with high

resistance conduct poorly. Things with low

resistance conduct well.

The unit of resistance is the Ohm.

Ohm’s law says

Resistance & Ohm’s Law

Current = voltage/resistance

I = V/R

Amperes = volts/ohms

Microscopic picture of conduction in wire

Ions

Here’s what 1 electron does in a wire with no battery:

Microscopic picture of conduction in wire

Ions

Here’s what 1 electron does in a wire with no battery:

Microscopic picture of conduction in wire

Ions

Here’s what 1 electron does in a wire with no battery:

Microscopic picture of conduction in wire

Ions

Here’s what 1 electron does in a wire with no battery:

Microscopic picture of conduction in wire

Ions

Here’s what 1 electron does in a wire with no battery:

No net progress “downstream”!

If we apply an electric field, the electrons

“drift downstream” on the average.

Microscopic picture of conduction in wire II

Ions electrons

E

Q: Why don’t they keep accelerating due to electric force?

Microscopic picture of conduction in wire

Ions

Here’s what 1 electron does in a wire with a battery:

E

Microscopic picture of conduction in wire

Ions

Here’s what 1 electron does in a wire with a battery:

E