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Alternating current (AC)
electrons first move in one direction and then
reverse and move in the opposite direction; oscillation of electricity in both
directions within a conductor
Direct current (DC)
flow of electricity in only one direction (unidirectional)
within a conductor
Ohms law
states that voltage in a circuit is equal to the current times resistance; V = IR
Power
Rate at which work is done
Resistance
the amount of opposition to the current in the circuit; measured in ohms
Watts (W)
Electrical power is measured in watts; One Watt is equal to one ampere of current that flows through and electric potential of one volt
Resistor
Inhibits flow of electrons
Battery
Provides electric potential
Capacitor / Condenser
Temporarily stores electric charge
Ammeter
Measures electric current
Voltmeter
Measures electric potential
Switch
turns circuit on or off by providing infinite resistance
Transformer
increases or decreases voltage by fixed amount (ac only)
Rheostat / Potentiometer
Acts as a variable resistor
Diode
Allows electrons to flow in only one direction
List ways of modifying the wire
to increase resistance:
Reduce its diameter
Increase its length
Inserting circuit elements (resistor)
Electron flow
within a circuit is from negative to positive poles (e- flow from
highest to lowest concentration)
Conventional electric
current flows from positive to negative poles (exact
opposites)
Direction of Travel
AC verses DC
(four-diode rectification circuit: one-way street)
Current
# of e- flowing in circuit per second
Quantity measured in Amps
(mA station)
Potential difference
Strength or Force of e- flowing in circuit
Emf, electric potential, or voltage
(kVp station)
Resistance (Opposition)
Opposition to current (Ohms) Ω
According to Ohms Law, if we increase the resistance our current decreases
(filament circuit)
Ability to conduct electrons
Conductivity of materials
(Conductors, Insulators, etc.)
Most metals are good conductors
Length of conductor (wire)
increase length of wire = increase resistance; directncrease length of wire = increase resistance; direct
Cross-sectional diameter of
wire
Increase diameter = decrease resistance; inverse
Temperature
Increase temperature = increase resistance; direct
(more electron collisions)
R =
Resistance ( Ohms )
Formula for total current in series circuit
I total = I (1) = 1 (2) = 1 (3)
I =
Current ( amps )
V =
Potential difference ( Volts )
Formula for total current in parallel circuit
I ( total ) = I ( 1 ) + I ( 2 ) + I ( 3 )
Formula for resistance in series circuit
R ( total ) = R ( 1 ) + R ( 2 ) + R ( 3 )
Formula for potential difference ( Volts ) in series circuit
V ( total ) = V ( 1 ) + V (2) + V (3)
Series Circuit
All circuit elements are connected in a line along the same conductor linking them one after another
Ex. Christmas lights in a series circuit, one goes out, the entire string goes out
Series Circuit shortcut
R +
I =
V +
Parallel Circuit
Contains elements that bridge conductors rather than lie in a line along a conductor
• Each component is given an individual branch
• Ex. Christmas lights, one light goes out, the rest will stay on, has two wires in each lamp
Formula for resistance in Parallel Circuit
1/R (total) = 1/(R1) + 1/(R2) + 1/(R3) don’t forget to flip at end .
Formula for potential difference in parallel circuit
V (total) = V (1) = V(2) = V(3)
Parallel Circuit Shortcut
I +
V =
1/R +
Ohms law Formula
V = IR
V = Potential Difference ( Volts )
I = current ( Amperage / Amps )
R = Resistance ( Ohms )
Power formula
P = IV
P = Power ( watts )
I = Current ( amps )
V = ( Potential difference )
Power ( Heat ) loss formula
P = I ² R
Power loss = Current² x resistance
Electrical current
the movement of electrons along a conductor (wire) or pathway (electrical circuit); measured in amperes
Electrodynamics
electrical charges in motion; electricity
Electrostatics
The study of the distribution of fixed (stationary) charges, or electrons that are at rest; static electricity
Electromotive force (emf)
the force or strength of electron flow; also know as potential difference or electric potential; voltage
Electrification
describes the process of electron charges being added to or subtracted from an object through friction, contact or induction
Conductor
A material that allows electrons to flow freely
Coulomb
the SI Unit of electric charge; 1 C = 6.24 × 10^18 electron charges
Induction
The process of electrical fields acting on one another without contact; utilized in operation of electronic devices
Insulator
A material that inhibits electron flow
3 Methods of
Electrification
Friction , Induction , and Contact
Factors Impeding flow of electron
ability to conduct electrons
Length of conductor ( wire )
Cross-sectional diameter of
wire
Temperature
Friction
“Rubbed”, Cold & Low Humidity
Balloon against sweater, walking across carpet
contact
“touch”, simple equalization of charges
Touching a metal doorknob or person
Static discharge on a radiograph
Induction
Interaction of electric fields without contact
Electronic devices: motors, transformers, solenoids
Induction motor in vacuum x-ray tube
Tell gross story!
fundamental unit of electric charge is
the coulomb (C)
1 Coulomb = 6.24 x 10^18 electron charges
Five Laws of Electrostatics
Repulsion - Attraction
Distribution
Concentration
Movement
Coulomb’s Law & Inverse Square
Repulsion-Attraction
Opposites attract, like charges repel
Ex. filament & focusing cup
Distribution
Charges reside on the external surfaces of conductors
and are distributed equally throughout nonconductors
Ex. Copper wire verses cloud
Concentration
The greatest concentration of charge (e-) will be on
the surfaces where the curvature is the sharpest
Ex. focusing cup & why tubes are highly polishe
Movement
Only negative charges move along solid conductors
Ex. electrons flowing in circuit
Coulomb’s Law
Measures the magnitude of electrostatic force
Inverse Square
Effect distance had on force of attraction or repulsion
Coulomb’s Law formula
F = k x Q (1) x Q (2) / D²
Q = electrostatic charges in Coulombs (C)
d = distance
K = (9 x 10^9 Nm^2/C^2) constant of proportionality
K for Coulombs Law
(9 x 10^9 Nm^2/C^2) constant of proportionality
Coulomb law ex problem
Suppose that two-point charges, with a charge of + 4.00 Coulombs and the other at 2.00 Coulombs are separated by a distance of 3.00 meters.
Determine the magnitude of the electrical force of repulsion between them.
8 × 10^9 N
Inverse Square Law
I (1) / 1 (2) = D² (2) / D² (1)
I (1) = Old intensity
I (2) = New intensity
D² (2) = New distance squares
D² (1) = Old distance squares
Inverse square law problem ex.
If an object has a charge of 2 coulombs at 5 mm,
what will be the charge at 12 mm?
.347 C
Electric Potential
-The force or strength in which electrons flow
-It is a function of the difference between the number of electrons on either end of the circuit
-There is an excess of electrons at one end of the circuit, and the deficiency of electrons at the other end
Electric Potential aka
potential difference, electromotive force (emf), voltage or strength
ampere (A)
Electric current is measured in a unit called the ——
—-measures the number of electrons flowing in the circuit per unit of time
Conductivity
a measure of the ability of a given substance to
conduct electric current (allowing free flow of electrons)
Conductor
Material - Copper, Aluminum, Gold
Characteristics - Allows the free flow of electrons
Obeys Ohm’s Law
Requires an electric potential or voltage
Insulator
Material - Rubber, Plastic, Glass, Clay
Characteristics - Resists or does not permit
electron flow
Necessary with high voltages
Semiconductor
Material - Silicon , Germanium
Characteristics - Can be conductive or can be resistive
Basis for computers
Superconductor
Material - Niobium, Titanium
Characteristics - No resistance to electron
flow
No electric potential required
Amplitude
The intensity of a wave defined by its maximal height or ½ the range from crest to valley; wave height
Electromagnetic energy
a form of energy resulting in electric and
magnetic disturbances in space
Frequency
The number of cycles or wavelengths passing a given point per unit of time; expressed in hertz or cycles per second
Photon
The smallest amount of any type of electromagnetic radiation; a bundle of energy called a quantum
Sine waves
variation in the movement of photons in electrical and magnetic fields or waves of electromagnetic radiation
Velocity
The rate of change of an object’s position over time; speed or how fast an object is moving
Wavelength
The distance between any two successive points on awave; from crest to crest or from trough to trough
X-ray Imaging: Energy range
10,000 eV to 100,000 eV
X-ray Imaging: Frequency
10^18 to 10^20 Hz
X-ray Imaging: Wavelength
10^-10 to 10^-12 meters
Photon Properties
The have no mass or identifiable form
Possess both electric and magnetic properties
Travel in waves along a straight path (in a sinusoidal fashion)
Requires no medium; therefore, can travel in a vacuum
E.g., space
Characteristics of Sine waves
1. Velocity
2. Amplitude
3. Frequency
4. Wavelength
All Electromagnetic radiation travels at the speed of
light or not at all. True or False ?
True
The wave amplitude is not related to wavelength or
frequency. True or false ?
True
Frequency and wavelength are____
inversely proportional
Energy and frequency are_____
directly proportional
Electromagnetic Wave Equation
Constant = Frequency x Wavelength
Constant for Electromagnetic Wave Equation
3.0 × 10 ^8 m/s
Electromagnetic Wave Equation ex. problem
EM wave has a frequency of 2.4 x 10^9 Hz. What is its wavelength expressed in meters?
1.25x10^-1m
Plank’s Constant Formula
E = HF
Plank’s Constant ex. prob
What is the frequency of a 55 keV x-ray?
1.33 x 10^19 Hz OR
How much energy does an x-ray possess if its
frequency is 1.2 x 10^-7 Hz?
7.96 x 10^-41 Joules
Energy and Matter Formula
E = MC²
Energy and Matter ex. formula
What is the mass equivalent of a 23.6 keV x-ray?
4.2 × 10^-32 kg OR
What is the energy equivalent of a mass of 1.2 x 10^-10 kg ?
E = 1.08 x 10^7 J