GRIFFIN EDUCATION working with EDU-LAB and The RADMASTE Centre UNIT P1a TOPIC 9 PRODUCING AND MEASURING ELECTRICITY OHM’S LAW TEACHER NOTES OVERVIEW OF THE ACTIVITY In this Activity learners are going to investigate the relationship between potential difference and current in a resistor and find its resistance. They will set up a circuit A with one resistor (RA) and a 3 V battery. They will use a multimeter as an ammeter to measure the current through RA, and another multimeter as a voltmeter to measure the RA potential difference across RA. Then they will add a second RB RC resistor (RB) in series with RA and move the lead of the W Z X Y ammeter to include RB in the circuit. They will then repeat the measurements of current through RA and potential V difference across RA. Finally they will add a third resistor (RC) in series and repeat the measurements of current and potential difference across RA with RC included in the circuit. To discuss before you start 1 By adding resistors we decrease the current in the circuit. 2 The potential difference is being measured across the resistor (RA). It would be different if it was measured across other parts of the circuit. We want to look at the relationship between potential difference and current in the resistor and not of the complete circuit. 3 An increase in temperature affects the resistance of conductors and can lead to inaccurate results. To keep the temperature constant we need to stop for a few minutes between the readings to allow the resistor to reach room temperature again. 4 The current is the independent variable. The potential difference is the dependent variable. What to do 1 Here are two examples of measurements using 220 ohm and 20 ohm resistors. using 220 ohm resistors Ohm’s Law using 20 ohm resistors No of resistors PDWX (V) I (x 10-3 A) PDWX (V) I (x 10-3 A) 1 2.8 12.5 2.5 124 2 1.43 6.4 1.35 67 3 0.96 4.3 0.92 46 Page 1 of 7 Ohm’s Law Page 2 of 7 Ohm’s Law Page 3 of 7 2 Following is a graph of the measurements given in the table above. An example of the slope/gradient of the graph is: 3 2.5 (2.25 - 0 )V (10 x 1000 - 0) A 2 Potential difference (volts) = 225 This value is very close to the value of 220 found for one of the brown resistors in the kit, using the colour code. 1.5 1 0.5 0 0 2 4 6 8 10 12 14 Current (Amperes 0 x 1000) 3 The results of this activity are usually good. Your learners will find their resistance results are very close to the value determined using the table. 4 Again the results will be comparable. If you use 220 ohm resistors, set the multimeter/ohmmeter on the 20k or 2000 setting. If you use 20 ohm resistors, set the multimeter/ohmmeter on the 200 setting. Assessment One of the performance indicators of the outcome SO1 is ‘following written instructions supported by diagrams’. You can assess the learners in their constructions of the circuits and where they place the multimeters. In the table below are some examples of possible levels for the performance indicator. Level 1 Level 2 The set up does not resemble the diagram and the learners do not get any readings on the multimeters The set up resembles the diagram, but the multimeters are connected incorrectly Ohm’s Law Level 3 The set up resembles the diagram but learners have difficulty following written instructions Level 4 The set up resembles the diagram; the written instructions are carefully followed and meaningful results are obtained Page 4 of 7 OHM’S LAW Ohm’s Law Page 5 of 7 STUDENT WORKSHEET Many years ago a famous German physicist, Georg Simon Ohm (1787-1854), discovered the relationship between the current in a wire and the potential difference across the ends of the wire. When this potential difference current relationship is expressed as a ratio, the ratio value is always the same. Because the ratio is constant it can be written as an equation. This constant is equal to the resistance (R) of the wire. This is known as Ohm’s law. resistance = potential difference current R = V I To discuss before you start Work with the other members of your group to discuss the following: 1 2 3 4 5 How are we changing the current in this circuit? Across which points is the potential difference being measured? Ohm’s Law applies to a given conductor only when the temperature of the conductor remains constant. How can we keep the temperature of the resistor constant? Is it in fact necessary? Explain. In this Activity, which is the independent variable, the current or the potential difference? Explain. Plan a table in which to record your readings. What you need: a basic micro-electricity kit and 2 multimeters. What to do 1 Set up the circuit using the micro-electricity kit as shown in the diagram.. 2 Join W to the positive terminal of your battery. 3 Join the negative terminal of the battery to the ammeter at V. 4 Move the free lead on the ammeter from X to Y to Z in turn. Read the potential difference across RA and the current in RA each time. 5 Plot a graph which you can use to find the resistance (in ohms) of R A between W and X on the graph paper supplied. 6 Use the coloured bands on RA and the guidelines and the table next page to work out the resistance of RA. How does this compare with the resistance you measured from your graph? Ohm’s Law Page 6 of 7 7 Use the multimeter as an ohmmeter to measure the resistance of RA. How does this confirm with the resistance you measured from the graph? HOW TO USE THE COLOURS ON YOUR RESISTOR TO WORK OUT ITS RESISTANCE (IN OHMS) orange - the THIRD band Your resistor is likely to show FOUR bands which may or may not be of different colours. The first three bands tell you what the resistance of your resistor is in ohms. The fourth band tells you how accurate this resistance is. red - the FIRST band This is the FOURTH BAND. It is either silver or gold. Gold tells us that the accuracy is 5%. Silver tells us that the accuracy is 10 % violet - the SECOND band The GOLD or SILVER band tells us the accuracy to which the resistor was made. If the resistor has a gold band, the accuracy is 5%. If the resistor has (according to the colours on the first three bands) a resistance of 20 , then, its resistance will vary from 19 , to 21 ,. If the resistor’s colour code tells us that it has a resistance of 20 with a silver band, its resistance will be in the range from 18 to 22 . The table below shows the numerical values for each of the colours. 0 black 5 green 1 brown 6 blue 2 red 7 violet 3 orange 8 grey 4 yellow 9 white The colour of the FIRST band gives you a number which you can read from the table. The colour of the SECOND band gives you a colour which you can read from the table. The colour of the THIRD band tells you how many zeros (0's) there are after the first two numbers. Use the table to work out the resistance (in ohms) of the resistor in the diagram above. (It is 27 000 .) Ohm’s Law Page 7 of 7