EF 152 – Physics for Engineers Spring, 2014 Recitation 4.3 Ohm’s Law Objectives: Learn to use a basic multimeter Learn Ohm’s Law through discovery based learning There are three basic properties of electric circuits: potential – units of volts current – units of amps resistance – units of Ohms We will measure each of these quantities in this lab, and also determine the relationship between them. An analogy with fluid flow is often used. The potential is like a water pump; it gives energy to the system. The current is like the flow rate of the fluid. Resistance is like a constriction in the pipe, or friction. It is something that takes energy out of the system. Analogies to electric circuits: Title Voltage Current Resistance Current & Flow rate Laws Ground Fluids Pressure = Energy/Volume • A closed faucet has pressure but no flow Thermal Temperature = Energy/k • k is Boltzmann’s constant • An isolated body has temperature, but no heat flow Volume flow rate = Volume/Time Heat flow rate = Heat/time Resistance represented by a Resistance is provided by severe constriction or obstruction insulation, or thermal will produce a pressure drop; resistance Resistance of a wire is represented by pressure loss in the pipe or hose. Poiseuille’s Law: Heat flow: ΔT VolumeFlowrate Heat flow rate Conservation of Liquid: Conservation: There is no net pressure change There is no net temperature in any closed loop path change (change in internal energy) in a closed cycle. A reservoir serves as a pressure Absolute zero serves as temperature reference. reference. A reservoir can supply water to a circuit. Once the pipe is filled with water, the pump can circulate the water without further use of the reservoir. http://hyperphysics.phy-astr.gsu.edu/hbase/electric/watcir.html http://faraday.physics.utoronto.ca/IYearLab/Intros/DCI/Flash/WaterAnalogy.html Page 1 of 4 Electric Circuit Voltage = Energy/Charge • A free electrical outlet has voltage but no current Current = Charge/Time Resistance represented by a “resistor” will produce a potential drop Ohms Law: Current Conservation of Charge: There is no net potential change in any closed loop path A ground serves as a voltage reference. A ground can supply charge to a circuit. EF 152 – Phy ysics for Engiineers Sp pring, 2014 Task 1. Learrning how to work with a Multimeter M Measuring vo oltage: The voltage between b two points is a sh hort name for the electrical force that wo ould drive an electric current betwe een those poiints. The sym mbol for voltag ge (battery) is shown at the e right and the e units are Volts (V). Set the multim meter to DCV V (direct curre ent volts). Record the read ding for each of the fo ollowing case es when connected to a D-cell battery. Hold the common or ground g lead (C COM) on the negative end of the batteryy and the VΩmA end on the positive e end of the battery. What is the voltage e of the battery? ____ _________ Now put the scale s on 2000 0m and conne ect COM lead d to positive e end of the battery and th he VΩmA lea ad on the nega ative end of th he battery. W What do you read? __ ___________ _ Scale Read ding 200 m 2000 m 20 200 1000 Measuring re esistance: The electrica al resistance of o an object is s a measure of o its oppositio on to the passsage of an ele ectric current. The symbol for a resistor is sh hown at the rig ght and units are Ohms (Ω Ω). Choose three e different res sistors from yo our packet an nd calculate th heir resistancce using the fo ollowing chartt. Calcculated resiistance (Ω) M Measured re esistance (Ω) Resiistor 1 Resiistor 2 Resiistor 3 Check your calculations c using the multimeter. Set th he multimeterr to Ω and cho oose the app propriate resisstance range. For example, e the 20K 2 range me easures resistances up to 20,000 Ω. Note that to measure m resis stance using a multimeter the compone ent must be re emoved from the circuit alttogether. Measuring cu urrent: Just as to me easure flow off water (such as with a Venturi meter), tto measure current we nee ed to place th he meter in the circuit. o D cell batttery in the cirrcuit board. Put one Use a wire to conn nect from the negative end d of the batterry to one end of a light bulb. e the VΩmA lead of the mu ultimeter to th he 10ADC plu ug and switch the multimetter to 10A. Move Put the 10A lead of o the multime eter on the po ositive spring connection o of the battery and the COM M lead on the other o side the light bulb. Notice what ha appens to the light bulb. R Record the rea ading of the m meter. This is the currentt in Amperes (A) or amps for f short. ove the 10A le ead back to VΩmA V plug forr the rest of th he lab.** **Mo Page 2 off 4 EF 152 – Physics for Engineers Spring, 2014 Task 2. Ohm’s Law Select the 100Ω, the 330Ω, and the 560Ω resistors. Set up the circuit at shown at the right. Set the multimeter to the 20m scale for DCA. Measure the current for each of the resistors. Fill in the following table. The voltage is the voltage you measured for the battery. In recording the current, remember the meter is reading in milliamps. Record your values in amps, not milliamps. Resistance Voltage (V) Current (A) V/R 100Ω 330Ω 560Ω Calculate the ratio of the voltage to the resistance, and record in the last column of the table. Compare the third column to the fourth column of the table. Based on this comparison, can you determine a relationship between the voltage, current, and resistance? This is Ohm’s Law. Write it in the box. OHMS’ LAW Task 3. Lights in Circuits Put both D-cell batteries in the circuit board. Use a short length of wire to connect the positive from one battery to the negative of the second battery. Hook up a single light bulb and note the brightness. Sketch the connections that you made in the form of a circuit diagram using the standard symbols shown below. Page 3 of 4 EF 152 – Physics for Engineers Spring, 2014 Use additional wires as needed to connect a second light into the circuit. Once you have achieved success, sketch the connections that you made in the form of a circuit diagram. Is your original light the same brightness, or was it brighter or dimmer that it was? Can you explain any differences in the brightness, or the fact that it is the same? If one of the light bulbs is unscrewed, does the other bulb go out or does it stay on? Why or why not? If you could characterize the light bulbs as being in series or parallel circuit, which would it be? Devise another way of connecting two lights into the same circuit; try it out. Sketch the circuit diagram. Is your original light the same brightness, or was it brighter or dimmer that it was? Can you explain any differences in the brightness, or the fact that it is the same? If one of the light bulbs is unscrewed, does the other bulb go out or does it stay on? Why or why not? If you could characterize the light bulbs as being in series or parallel circuit, which would it be? What are the apparent rules for the operation of lights in series? In parallel? Upload pictures of your circuit diagrams to the drop box to obtain credit for this recitation. Page 4 of 4