1. Circuits and breadboards: Name: _____________________________ Date: ____________________________ Approved: ___________________________ Purpose of the lab: • to analyze circuit theory problems • to connect electrical circuits • to measure voltage and current in a circuit Marks Distribution: Answer the questions in these instructions. You can do this orally during the scheduled lab session, or by submitting written answers to your supervisor. Calculations and graphs should be attached if you make a written report. Compare measured and calculated values. How do they agree? What is the reason for any differences? To pass you must solve tasks 1-3a. Task 3b and 4 are included in the grading of the course. How to make a design based on circuit diagrams 1) NODES! Recognize which points are the same! Learn to understand how your breadboard works. 2) Colour Selection: Do not confuse yourself, and be intelligent when choosing cable colours. Distinguish between positive voltages and ground. You can have as a rule to use red cables for higher potentials, and black for ground/lower potential. Study your instrument and realize that their contact clamps are also red at the higher potential and black for ground/lower potential. This applies to both voltage measurement and current measurement. Try to follow the colour coding! 3) Try to use as few extra wires as reasonably possible. Take advantage of the breadboard structure, and make use of any long legs that components might have. Use the Jump-wires when needed. 4) Be sure to turn components the right way (for e.g. diodes and capacitors) Follow the wiring diagram around the loops that exist. Start from plus and then work your way forward using components and measuring instruments. How do you connect the measuring instruments? Connect “banana” cables and coupling clamps to the multimeter. a) Voltage measurement: Is always done in parallel with the components! Connect the voltage input to the point with higher potential, and the ground input to the point with lower potential! b) Current Measurement: Is always done in series with the components. First break the circuit, and then use the amp meter to close it again. Measuring with a multimeter: To get to know the equipment and get used to making connections, we’ll start with the simple circuit below. The objective is to verify the principles of voltage division. Figure 1.3 Calculate the line current and the voltage over the 100 resistor for the circuit in the above figure! The S111 lab room is equipped with multimeters that are able to make combined measurements of two quantities. If both voltage and current is to be measured with the same measuring instrument, it is not possible to connect the multimeter as shown above. That's because there is only one common negative input (COM) on the multimeter, and it must be connected to one single node in the circuit. We can solve this problem by moving the measurement of the current to the negative terminal of the voltage measurement, as shown below. Note that the ampere meter will be connected “backwards", and that the indicated power will thus get the wrong sign. B 220 Ohm + 00.000 V - 5V 100 Ohm + A 00.000 A COM Figure 1.4 Measure the supply voltage. Connect according to the figure 1.4. Measure the voltage and current. U = _______ I = _______ How do you select the measurement range of the multimeter to get the best possible accuracy on the result? (Can you change the measurement range for both voltage and current?) _______________________________________________________________! 1.2 Voltage Division and Thévenine equivalent a) Voltage division Theoretical task: Calculate UAB, UAB = UBC and UCD for the following circuit! UBC = UCD = Connect the circuit and the voltmeter, and check your calculations! UAB = UBC = UCD = Based on Kirchoff’s voltage law, we know that the sum of the partial voltages is equal to the supply voltage. b) Ohm's Law and Kirchoff’s current law After calculating the voltages in figure 1.5, it is easy to calculate the currents in the circuit using Ohm's law. Calculate: I1 = I2 = How big is the circuit line current I? (Kirchoff’s current law) I3 = I= Connect the ampere meter and measure: I3 = I4 = I= I4 = c) Thévenin equivalent Let the circuit from task b remain on the breadboard. Calculate the Thévenin voltage and the Thévenin resistance between points B and C in the circuit (Figure 1.5). A Thévenin equivalent is a simplification of a circuit with only two components, as in Figure 1.6. No components should be removed from your circuit during the calculations. If an additional component is connected between B and C in the Thévenin equivalent, you will get the exact same current and voltage as if you had connected it into the real circuit. (The Thévenin theorem assumes linear components, i.e. that Ohm’s law applies.) B + Rthi U Vth C Figure 1.6 Calculate theoretically: The Thévenin voltage Vth, (we already know this value from task a!) The Thévenin resistance Rth = The Short-circuit current Ish = Measure Ish by attaching the ampere meter between B and C! Ish = Remove the ampere meter between B and C, disconnect the supply voltage, and replace it with a shortcut between A and D. Then measure the internal resistance between B and C with the ohmmeter. Rth = Hopefully, your theoretical values will match your measured results well! If not, why is it not perfect? Explain! 1.3 Simulation in Mindi a) Bridge Networks (lecture 2) Start the Mindi program on your PC. Draw the circuit below. Insert an Ampere-indicator for measuring the current indicated by the current arrow. The Ampere-indicator should be connected in series with the resistance R5. Make sure that the direction of the current source is correct. Use the multimeter in the program or more indicators to verify that the circuit is working properly. b) Verification of superposition (lecture 3) Superposition basically says that you can calculate the currents and voltages in a circuit for one source at a time, and then add the results. Verify the theorem by measuring the current I for one source at a time. Is the sum of I01 and I02 in agreement with the result of task a)? 1.4 Measurement on a light emitting diode Udiode [V] 1.5 1.6 1.7 1.8 1.9 2.0 2.1 Idiode [mA] You are going to use the 100 kΩ potentiometer (variable resistance) on your lab board. Before the circuit is connected, you should turn the potentiometer into its bottom position. Measure between which of the outer legs and the middle leg you can find the full resistance. Only these two legs shall be connected to your circuit! We want the current to be as low as possible at the start of the measurements. Before connecting the circuit, verify that the supply voltage is 9 Volts. How should the light emitting diode (LED) be connected? Measure with help of the multimeter. Perform measurements according to the sample table above (note that you do not have to follow the table exactly. It might not be possible to reach all voltage values). At which current value does the LED begin to shine weakly? I= Plot the diode’s characteristics in a graph with Idiode on the y-axis and Udiode on the x-axis! Extrapolate the diode’s threshold voltage (the voltage when the diode begins to lead current) in the graph. Utr =