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Parallel Circuits Lab When resistors are connected in parallel, each resistor provides a path for electrons to follow and, therefore, reduces the equivalent resistance to the current. In Figure 1 (c), three resistors are connected in parallel across a voltage source. There are three paths by which the current may pass from junction A to junction B. it follows that more current will flow between these junctions than would be the case if one or two resistors connected them. Each time a resistance is connected in parallel with other resistors, the effective resistance decreases. The effective resistance of parallel resistors is found mathematically by applying the equation: 1 1 1 1 ... REquiv R1 R2 R3 It will be necessary for you to follow the circuit diagrams of Figure 1 very closely. Although the diagrams show several meters in use at once, you have been provided with only one ammeter and one voltmeter. You must move the meters from position to position until all readings are obtained. (a) (b) (c) Above, Circuit diagrams for resistors connected in parallel. Be sure to note the positive and negative terminals of the voltmeter and ammeter in relation to the positive and negative terminals of the voltage source. Objective: During this investigation you will apply Ohm’s Law to a parallel circuit. Don’t forget to actually READ the instructions on the other side! Materials: Power supply Three resistors 6 banana leads 6 Alligator-banana leads Switch Voltmeter Ammeter Procedure: A. One Resistor 1. Set up the circuit as indicated in Figure 1 (a). 2. Close the switch and read the meters. 3. Record your observations in Table 1. B. Two Resistors 1. Set up the circuit as indicated in Figure 1 (b). 2. Close the switch and read the meters. 3. Record your observations in Table 2. 4. Move meters as necessary to obtain all readings. C. Three Resistors 1. Set up circuit as indicated in Figure 1 (c). 2. Close the switch and read the meters. 3. Record your observations in Table 3. 4. Move meters as necessary to obtain all readings. If and only if you finish the entire lab with time to spare you may complete the Extension for Extra Credit on a separate piece of paper. Extension: 1. A technician needs a 5 Ω resistor and a 10 Ω resistor. The supply cupboard is out of 5 Ω and 10 Ω resistors, but there is an abundance of 15 Ω and 20 Ω resistors. How can the technician use the higher value resistors to obtain a 5 Ω and 10 Ω resistor? 2. Draw the circuit diagram. Name: Date: Parallel Circuits Period: Data and Calculations: A. One Resistors 1. Printed value of R1 Table 1 Ammeter Reading Voltmeter Reading B. Two Resistors 1. Printed value of R1 2. Measured value of V R 1 ___________ I and R2 2. Calculated equivalent resistance: 1 REquiv 1 1 → REquiv ______________ R1 R2 Table 2 It Ammeter Reading I1 I2 Vt 3. Measured equivalent resistance REquiv Voltmeter Reading V1 V2 Vt __________ It 4. Calculated It I1 I 2 ____________ V 5. Measured R1 1 ________ I1 V 6. Measured R2 2 ________ I2 C. Three Resistors 1. Printed value of R1 2. Calculated equivalent resistance , R2 1 REquiv and R3 1 1 1 → REquiv ______________ R1 R2 R3 Table 3 It Ammeter Reading I1 I2 I3 3. Measured equivalent resistance REquiv Vt Vt __________ It Voltmeter Reading V1 V2 V3 V1 ________ I1 V 5. Measured R2 2 ________ I2 V 6. Measured R3 3 ________ I3 4. Measured R1 7. Calculate the equivalent resistance using the values of R1, R2, and R3 you found above in #4,5 and 6. Conclusion Questions: 1. How does the current in the branches of a parallel circuit relate to the total current in the circuit? 2. How does the voltage drop across each branch of a parallel circuit relate to the voltage drop across the entire circuit? 3. a. What happens to the equivalent resistance of a circuit when additional resistors are added in parallel with resistors already present? b. What happens to the equivalent resistance when parallel resistors are removed? 4. Three 30Ω resistors are connected in parallel. Calculate their equivalent resistance showing all steps. 5. The three 30Ω resistors are connected in parallel are then placed across a 60 V source. a. Find the total current drawn from the source showing all steps. b. Find the current through each branch of the circuit showing all steps. . c. Find the voltage drop across each branch of the circuit showing all steps. .