Lab_Capacitors_PartA

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Santa Fe College *

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2086

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Electrical Engineering

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Feb 20, 2024

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Lab 5: Capacitance-Capacitors in series and in parallel Part A: Measurement of capacitance In this first part, you will measure the capacitances of three different capacitors on a board. You will then measure the capacitances of the same capacitors connected in series, parallel and hybrid. You will not need the power supply for this part. 1. Individual capacitors a. Discharge each capacitor by connecting a wire across the terminals of the capacitors . b. Use the capacitance meter of a multimeter and record the value of the capacitance for each capacitor as shown below. c. Read the nominal value of the capacitance indicated on each capacitor. d. Record that information for each capacitor in the table below. Be sure to include units. Page 1 of 10

Lab 5: Capacitance-Capacitors in series and in parallel e. Calculate a percent difference between your measured value and the nominal value: % difference = | Measured value - Nominal value | Nominal value x 100 Capacitance measurements individual capacitors Capacitor Measured capacitance Nominal capacitance Percent difference C 1 C 2 C 3 Record all the measured values of C 1 , C 2 , and C 3 in all the tables on pages 2-9 Page 2 of 10

Lab 5: Capacitance-Capacitors in series and in parallel We will use a breadboard for our capacitor circuit. Here is how the breadboard holes are connected. The top connections for power are called busses. They are located at the top and bottom of the board. The binding posts at the top can be connected to a battery or power supply. We will use the red (Va) and the black posts when we need to connect a power supply. Then we can use wires from the red and black post to connect the power to the board as shown below. The gap in the middle of the board separates the top from the bottom. The gap is used for DIP (Dual In-line Packages) components such as integrated circuits, microcontrollers, chips that can be connected across the gap or ravine. Page 3 of 10

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Lab 5: Capacitance-Capacitors in series and in parallel 2. Capacitors in series a. Two capacitors o Discharge your capacitors o Connect two of the three capacitors on your board in series. o Use the capacitance meter to measure the capacitance of the combination o Record your data in the table below. Do not forget to include units. Capacitance measurements 2 capacitors in series Capacitor Capacitance (measured) C 1 C 2 C equivalent o Draw the series combination in schematic form. o From the results, you have obtained write down (symbolically) an equation that would describe express the capacitance C equivalent or C Total of the series combination in terms of the individual capacitances C 1 and C 2 . Page 4 of 10 Capacitance

Lab 5: Capacitance-Capacitors in series and in parallel b. Three capacitors o Discharge your capacitors. o Repeat the previous measurements with three (3) capacitors connected in series. Capacitance measurements 3 capacitors in series Capacitor (measured) Capacitance (measured) C 1 C 2 C 3 C equivalent o Draw the schematic representation of the combination of capacitors. o Write down the appropriate equation for this combination of capacitors. Page 5 of 10

Lab 5: Capacitance-Capacitors in series and in parallel 3. Capacitors in Parallel a. Two capacitors o Discharge your capacitors. o Connect two capacitors in parallel as shown below. o Record the capacitance of the combination. o Draw a schematic representation of the parallel combination. o From the results, you have obtained write down (symbolically) an equation that would describe express the capacitance C 12 of the parallel combination in terms of the individual capacitances C 1 and C 2 . Page 6 of 10 Capacitance measurements 2 capacitors in parallel Capacitor Capacitance (measured) C 1 C 2 C equivalent

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Lab 5: Capacitance-Capacitors in series and in parallel b. Three capacitors o Discharge your capacitors. o Repeat the previous measurements with 3 capacitors connected in parallel. o Draw the schematic representation of the combination of capacitors. o Write down the appropriate equation for this combination of capacitors. Page 7 of 10 Capacitance measurements 3 capacitors in parallel Capacitor (measured) Capacitance (measured) C 1 C 2 C 3 C equivalent

C1 C2 C3 Lab 5: Capacitance-Capacitors in series and in parallel 4. Capacitors in Series/Parallel (Hybrid) combinations a. Combination a o Discharge your capacitors o Use the schematic shown below to connect your three capacitors o Measure the capacitance meter to measure the capacitance of the combination o Use the rules you established earlier to calculate the value of the capacitance for the hybrid combination. Compare the result of your calculation to the measured value. Use the measured value as a reference. Calculated value Measured value % difference Page 8 of 10 Capacitance measurements hybrid a Capacitor (measured) Capacitance (measured) C 1 C 2 C 3 C equivalent

C1 C3 C2 Lab 5: Capacitance-Capacitors in series and in parallel b. Combination b o Discharge your capacitors o Use the schematic shown below to connect your three capacitors o Measure the capacitance meter to measure the capacitance of the combination o Use the rules you established earlier to calculate the value of the capacitance for the hybrid combination. Compare the result of your calculation to the measured value. Use the measured value as a reference. Calculated value Measured value % difference Page 9 of 10 Capacitance measurements hybrid b Capacitor (measured) Capacitance (measured) C 1 C 2 C 3 C equivalent

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