Principles of Imaging Science II (RAD 120) Electricity Electricity • X-ray tube converts electrical energy to EM energy • Principles of Electrostatics – Refers to nonmoving electrical charges – Charges are a property of all matter • Electrons – Negative • Protons - Positive • Neutrons - Neutral – An electric charge is not a particle but it is a property of particles 1 Attraction & Repulsion • Opposite charges attract – Proton attracts an electron • Similar charges repel – Electron repels an electron – Protons repel each other in the nucleus • Protons remain fixed within the nucleus, electrons are moved from the outer shell (ionization) Electrification • Abnormal state of an object due to the movement of electrons – Objects become more negatively charged because of the additional electrons – Examples: • Bad hair day • Static on radiographs 2 Methods of Electrification • Created by: – Friction – rubbing e- off one object depositing on another – Contact – charged object touches another object moving e- to that object – Induction – charged object attracts the opposite charges in another object (lightning) • Process by which one charged object attracts the opposite charges in another object and thereby electrifies the other object. A negatively charged object repels the electrons of another object, leaving that object with a positive charge. Induction occurs as a result of the interaction of the electric fields around two objects that are not in contact. Electrostatic Charge • Coulomb (C) – Fundamental unit of electric charge – 1 C = 6.3 X 1018 electron charges – Represents a negative number for a negative charge – The number of electrons represented by 6.25 X 1018 is more than 6 billion billion. This is approximately the number of electrons that flows through a 100-watt light bulb in 1 second! 3 Electrostatic Laws • Describe how electric and neutral charges interact • Electric fields (electrostatic force) – Radiate out from a + charge, toward on a – charge – Opposite charges attract, like repel, unlike do not possess an electric field Electrostatic Laws • Coulomb’s Law – Describes the magnitude of electrostatic force – Follows premise of Inverse Square Law – The electrostatic force is directly proportional to the product of the electrostatic charges and inversely proportional to the square of the distance between them 4 Electrostatic Laws • Electrical charges are evenly distributed throughout the object OR on the surface • This is an attempt to repel each other – Wire conductor vs. thunder cloud Electrostatic Laws • Electrical charges are concentrated on the surface with the greatest curvature – Round anodes vs cattle prod 5 Electrodynamics • Electricity - movement of electrical charges – Electric current is the flow of electrons from negative to positive – An electric current will occur in a conductive metal when an electric potential exists – Electric potential is the difference between the charge at the – end and the + end – Electricity does work when the electrons flow in an electric current along a wire Electric Current • Conditions necessary 1. Electric potential difference exists between two objects 2. Conducting pathway Electron flow is – to + 6 Electric Current • Electric potential is related to potential . energy • Greater the electric potential, as the electric field is increased, the greater the potential energy and the greater the electric current once it starts flowing. TYPES OF ELECTRICAL MATERIALS • Materials possess different abilities to conduct electricity • There are four classes of materials: – Conductors – Insulators – Semiconductors – Superconductors 7 TYPES OF ELECTRICAL MATERIALS Electrical States of Matter The arrows demonstrate the difference between the energy levels of conduction and valence bands in an insulator, semi-conductor, and conductor The conduction and valence bands overlap in a good conductor 8 Electric Circuits • Pathway of an electric current – Factors: • Voltage (V) – unit of potential difference in charges • Current (I) - # electrons flowing/sec (ampere) • Resistance(R) - resists, reduce or impede flow of e- (Ohm) THE UNITS OF ELECTRICITY • Ampere (A) – Unit to measure electric current • Rate of electric charge that flows past a particular point in 1 second. • One ampere equals 1 coulomb flowing by in 1 second: • Volt (V) – Unit to measure electrical pressure or potential difference – Represents the energy in a circuit – 1 kV = 1000 V 1 A = 1 C/s – mA = 1/1000 A 9 THE UNITS OF ELECTRICITY • OHM (Ω) – Unit to measure resistance (R) • Opposes current flow in a circuit – Four factors that affect the resistance of a conductor: • • • • The material used Length Cross-sectional diameter Temperature Factors that affect Resistance • Conductivity of material • Length – Direct relationship • Cross-sectional area – Indirect relationship • Temperature – Increased temp impedes electron flow 10 FACTORS AFFECTING RESISTANCE FACTORS AFFECTING RESISTANCE 11 FACTORS AFFECTING RESISTANCE Electric Circuit Symbols 12 THE RELATIONSHIP BETWEEN CURRENT, VOLTAGE, AND RESISTANCE • First discovered by Georg Ohm and is represented by Ohm’s Law: – V = IR I = V/R R = V/I • V = Voltage, I = Current, R = Resistance Electric Circuit - Schematic • The solid lines represent wires in the circuit. Shown are a battery and a circuit with two resistors in it. A switch opens and closes the circuit. 13 Series Circuit • All circuit elements are interconnected along the wire in the conducting pathway • Electrons travel along all resistors • Rules: – Rt = R1 + R2 + R3… – It = I1 = I2 = I3… – Vt = V1 + V2 + V3 Parallel Circuit • Bridges exist along the conducting pathway creating multiple avenues for the e- to travel • Rules: – It = I1 + I2 + I3… – Vt = V1 = V2 = V3 – 1/Rt = 1/R1 + 1/R2 + 1/R3… 14 OHM’s Law OHM’s Law Current (Series/ParallelCircuit) 15 OHM’s Law Voltage (Series/ParallelCircuit) OHM’s Law Resistance (Series/ParallelCircuit) 16 OHM’s Law Applied POWER • Power (P): The rate energy is used • Unit: Watt (W) – 1 W = 1 joule/second – 1 watt is produced by one ampere of current flowing with an electrical pressure of 1 volt • Formula: P = IV 17 Power Formula Calculations 18