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11/3/2014 Circuits Properties of a Current Topics: • • • • • Current Conservation of current Batteries Resistance and resistivity Simple circuits Sample question: How can the measurement of an electric current passed through a person’s body allow a determination of the percentage body fat? Making the process continuous • Crystal lattice model with free electrons To achieve a steady flow of electric charge, we need a device that can maintain a steady potential difference. © 2014 Pearson Education, Inc. Current and Electron Flow Conventional current is the hypothetical flow of positive charges that would have the same effect in the circuit as the movement of negative charges that actually does occur. © 2014 Pearson Education, Inc. Electric current • Free electrons in a wire drift in the direction of the higher V field. • Traditionally, the direction of electric current in a circuit is defined as opposite to the direction of the electrons' drifting motion. © 2014 Pearson Education, Inc. 1 11/3/2014 Electric current Batteries and emf • • © 2014 Pearson Education, Inc. What are the UNITS? The physical size of a battery is not related to the emf but to its storage capacity—the total charge it can move before it must be replaced or recharged. © 2014 Pearson Education, Inc. The language of physics: Force and work Conceptual Exercise 16.2 • You connect a 9.0-V battery to a small motor. Describe the changes in electric potential in the circuit with a graph. © 2014 Pearson Education, Inc. © 2014 Pearson Education, Inc. Complete circuits • • Symbols for the elements in electric circuits To check whether any circuit you build is complete, trace the path of an imaginary positive charge moving from the positive terminal of the battery to the negative terminal. The path must pass along conducting material at every location. © 2014 Pearson Education, Inc. © 2014 Pearson Education, Inc. 2 11/3/2014 Ammeters • • An ammeter acts like a water flow meter. If you wish to measure how much water flows through a cross section of a pipe, the water must pass through the flow meter. An ammeter must be inserted into a circuit so that the current passes directly through it. © 2014 Pearson Education, Inc. Voltmeters • To measure the voltage between two points in a circuit, a voltmeter is connected between the points. A voltmeter measures the electric potential difference between two points in a circuit. • Using a voltmeter is analogous to using a pressure meter to measure the water pressure difference. © 2014 Pearson Education, Inc. Measuring current through and potential difference across a resistive wire Resistance • • Resistance characterizes the degree to which an object resists a current. We can write the relationship between current and potential difference using resistance R: Or • © 2014 Pearson Education, Inc. ∆ = The unit of resistance is called the ohm; 1 ohm = 1 volt/ampere. © 2014 Pearson Education, Inc. 3 11/3/2014 Ohmic and non-ohmic circuit elements • • Ohm's law If the resistance of a circuit element does not depend on the potential difference across it, the element is called ohmic. Circuit elements that cannot be modeled as ohmic devices are called non-ohmic. © 2014 Pearson Education, Inc. © 2014 Pearson Education, Inc. Testing Ohm's law © 2014 Pearson Education, Inc. Series Resistors Testing experiment © 2014 Pearson Education, Inc. Parallel Resistors 4 11/3/2014 Joule's law • Because potential difference and current are related through Ohm's law, Joule's law can be written in two alternate forms: © 2014 Pearson Education, Inc. 5