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Chapter 17 Section 3 Current and Resistance Current and Charge Movement • Electric current is the rate at which electric charges pass through a given area. I electric current = Q t charge passing through a given area time interval © Houghton Mifflin Harcourt Publishing Company Chapter 17 Section 3 Current and Resistance Conventional Current Click below to watch the Visual Concept. Visual Concept © Houghton Mifflin Harcourt Publishing Company Chapter 17 Section 3 Current and Resistance Drift Velocity • Drift velocity is the the net velocity of a charge carrier moving in an electric field. • Drift speeds are relatively small because of the many collisions that occur when an electron moves through a conductor. © Houghton Mifflin Harcourt Publishing Company Chapter 17 Section 3 Current and Resistance Drift Velocity Click below to watch the Visual Concept. Visual Concept © Houghton Mifflin Harcourt Publishing Company Chapter 17 Section 3 Current and Resistance Resistance to Current • Resistance is the opposition presented to electric current by a material or device. • The SI units for resistance is the ohm (Ω) and is equal to one volt per ampere. • Resistance V I potential difference resistance current © Houghton Mifflin Harcourt Publishing Company R Chapter 17 Section 3 Current and Resistance Resistance to Current, continued • For many materials resistance is constant over a range of potential differences. These materials obey Ohm’s Law and are called ohmic materials. • Ohm’s low does not hold for all materials. Such materials are called non-ohmic. • Resistance depends on length, cross-sectional area, temperature, and material. © Houghton Mifflin Harcourt Publishing Company Chapter 17 Section 3 Current and Resistance Factors that Affect Resistance Click below to watch the Visual Concept. Visual Concept © Houghton Mifflin Harcourt Publishing Company Chapter 17 Section 3 Current and Resistance Resistance to Current, continued • Resistors can be used to control the amount of current in a conductor. • Salt water and perspiration lower the body's resistance. • Potentiometers have variable resistance. © Houghton Mifflin Harcourt Publishing Company Chapter 17 Section 4 Electric Power Objectives • Differentiate between direct current and alternating current. • Relate electric power to the rate at which electrical energy is converted to other forms of energy. • Calculate electric power and the cost of running electrical appliances. © Houghton Mifflin Harcourt Publishing Company Chapter 17 Section 4 Electric Power Sources and Types of Current • Batteries and generators supply energy to charge carriers. • Current can be direct or alternating. – In direct current, charges move in a single direction. – In alternating current, the direction of charge movement continually alternates. © Houghton Mifflin Harcourt Publishing Company Chapter 17 Section 4 Electric Power Energy Transfer • Electric power is the rate of conversion of electrical energy. • Electric power P = I∆V Electric power = current potential difference © Houghton Mifflin Harcourt Publishing Company Section 4 Electric Power Chapter 17 Energy Transfer Click below to watch the Visual Concept. Visual Concept © Houghton Mifflin Harcourt Publishing Company Chapter 17 Section 4 Electric Power Energy Transfer, continued • Power dissipated by a resistor 2 ( V ) P I V I 2R R • Electric companies measure energy consumed in kilowatt-hours. • Electrical energy is transferred at high potential differences to minimize energy loss. © Houghton Mifflin Harcourt Publishing Company Chapter 18 Section 1 Schematic Diagrams and Circuits Schematic Diagrams • A schematic diagram is a representation of a circuit that uses lines to represent wires and different symbols to represent components. • Some symbols used in schematic diagrams are shown at right. © Houghton Mifflin Harcourt Publishing Company Chapter 18 Section 1 Schematic Diagrams and Circuits Schematic Diagram and Common Symbols Click below to watch the Visual Concept. Visual Concept © Houghton Mifflin Harcourt Publishing Company Chapter 18 Section 2 Resistors in Series or in Parallel Resistors in Series • A series circuit describes two or more components of a circuit that provide a single path for current. • Resistors in series carry the same current. • The equivalent resistance can be used to find the current in a circuit. • The equivalent resistance in a series circuit is the sum of the circuit’s resistances. Req = R1 + R2 + R3… © Houghton Mifflin Harcourt Publishing Company Chapter 18 Section 2 Resistors in Series or in Parallel Resistors in Series © Houghton Mifflin Harcourt Publishing Company Chapter 18 Section 2 Resistors in Series or in Parallel Resistors in Series, continued • Two or more resistors in the actual circuit have the same effect on the current as one equivalent resistor. • The total current in a series circuit equals the potential difference divided by the equivalent resistance. V I Req © Houghton Mifflin Harcourt Publishing Company Chapter 18 Section 2 Resistors in Series or in Parallel Sample Problem Resistors in Series A 9.0 V battery is connected to four light bulbs, as shown at right. Find the equivalent resistance for the circuit and the current in the circuit. © Houghton Mifflin Harcourt Publishing Company Chapter 18 Section 2 Resistors in Series or in Parallel Sample Problem, continued Resistors in Series 1. Define Given: ∆V = 9.0 V R1 = 2.0 Ω R2 = 4.0 Ω R3 = 5.0 Ω R4 = 7.0 Ω © Houghton Mifflin Harcourt Publishing Company Unknown: Req = ? I=? Diagram: Chapter 18 Section 2 Resistors in Series or in Parallel Comparing Resistors in Series and in Parallel Click below to watch the Visual Concept. Visual Concept © Houghton Mifflin Harcourt Publishing Company Chapter 18 Section 2 Resistors in Series or in Parallel Resistors in Parallel, continued • Resistors in parallel have the same potential differences across them. • The sum of currents in parallel resistors equals the total current. • The equivalent resistance of resistors in parallel can be calculated using a reciprocal relationship 1 1 1 1 ... Req R1 R2 R3 © Houghton Mifflin Harcourt Publishing Company Chapter 18 Section 2 Resistors in Series or in Parallel Resistors in Parallel © Houghton Mifflin Harcourt Publishing Company Chapter 18 Section 2 Resistors in Series or in Parallel Sample Problem Resistors in Parallel A 9.0 V battery is connected to four resistors, as shown at right. Find the equivalent resistance for the circuit and the total current in the circuit. © Houghton Mifflin Harcourt Publishing Company Chapter 18 Section 2 Resistors in Series or in Parallel Sample Problem, continued Resistors in Parallel 1. Define Given: ∆V = 9.0 V R1 = 2.0 Ω R2 = 4.0 Ω R3 = 5.0 Ω R4 = 7.0 Ω © Houghton Mifflin Harcourt Publishing Company Unknown: Req = ? I=? Diagram: Chapter 18 Section 2 Resistors in Series or in Parallel Resistors in Series or in Parallel © Houghton Mifflin Harcourt Publishing Company Chapter 18 Section 3 Complex Resistor Combinations Resistors Combined Both in Parallel and in Series • Many complex circuits can be understood by isolating segments that are in series or in parallel and simplifying them to their equivalent resistances. • Work backward to find the current in and potential difference across a part of a circuit. © Houghton Mifflin Harcourt Publishing Company Chapter 18 Section 3 Complex Resistor Combinations Analysis of Complex Circuits Click below to watch the Visual Concept. Visual Concept © Houghton Mifflin Harcourt Publishing Company Chapter 18 Section 3 Complex Resistor Combinations Sample Problem Equivalent Resistance Determine the equivalent resistance of the complex circuit shown below. © Houghton Mifflin Harcourt Publishing Company