Yoon Milling - Lab 6.docx

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University of Kansas *

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Electrical Engineering

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Feb 20, 2024

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Uploaded by AgentCapybara1987

Purpose Procedure Brief summary. Describe the circuits you’ve built, and the measurements you’ve made.

Series Circuit There will be a voltage drop/increase based on the ohm difference between the resistors. Apparatus Include an image (photo) of the series circuit, with the multimeter attached to measure current. Series Circuit Diagram Equivalent series circuit diagram

Calculations: find the voltage across and current through each element, after you’ve found the total equivalent resistance. Use an equation editor. Summarize in a few sentences how you’ve performed the calculations. I used V = IR to find voltage to find the values. I compared those values to the actual ones from the online circuit and found out that the numbers were almost identical. There would’ve been an error if I used more significant figures, but I only used 3, which caused consistent results between the measured and calculated values. Element Resistance ( Ω ) V calc (V) I calc (A) V meas (V) % Error V meas I meas (A) % Error I meas R 1 47 0.959 0.0204 0.959 0 0.0204 0 R 2 100 2.04 0.0204 2.04 0 0.0204 0

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Parallel There will be no drop in voltage in a parallel circuit. Apparatus Include an image (photo) of the combination circuit, with the multimeter attached to measure voltage. Parallel Circuit Diagram Equivalent Parallel circuit diagram

Calculations: find the voltage across and current through each element, after you’ve found the total equivalent resistance. Use an equation editor. Summarize in a few sentences how you’ve performed the calculations. I just used the equation I = V/R to calculate the voltage. I took decimals into account and used the error formula to find the error in I meas , as it was the only one with a deviation. Element Resistance ( Ω ) V calc (V) I calc (A) V meas (V) % Error V meas I meas (A) % Error I meas

R 1 47 3 0.0638 3 0 0.0612 4.24 R 2 100 3 0.03 3 0 0.03 0

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Combination Circuit Apparatus Include an image (photo) of the circuit, with the multimeter attached to measure current. Combination Circuit Diagram Equivalent combination circuit diagram

Equivalent combination circuit diagram 2 Calculations: find the voltage across and current through each element, after you’ve found the total equivalent resistance. Use an equation editor. Summarize in a few sentences how you’ve performed the calculations. Element Resistance ( Ω ) V calc (V) I calc (A) V meas (V) % Error V meas I meas (A) % Error I meas R 1 10 0.432 -0.0432 0.432 - -0.0432 0 R 2 100 2.57 0.0257 2.57 - 0.0257 0 R 3 47 0.821 0.0175 0.821 - 0.0175 0 R 4 100 1.74 0.0175 1.74 - 0.0174 0.517 Conclusions: Make sure you answer all of the questions in the assignment pdf 1. How does the current through each resistor compare, for the series circuit? 2. Describe the process of determining the voltage across each resistor in a series circuit. Include the symbolic expression for the equivalent series resistance in your description.

3. How do the voltages across each parallel resistor compare? 4. Describe the process of determining the total current in a parallel circuit. Include the symbolic expression for the equivalent parallel resistance The current stays constant through each resistor for series circuits. The voltage will add up to the total voltage when it’s in series, and depending on the resistance, the values will differ. In the first example, V 2 > V 1 because according to ohm’s law, V = IR. If Current is the same and resistance is bigger for one, the voltage will be higher when the resistance is higher as well. Each voltage on the parallel circuit equals the voltage of the batteries, so the combined voltage will depend on the amount of resistors with each quantity being the same. The total current in a parallel circuit can be determined by adding the value of each voltage divided by resistance. Since voltage is equal throughout the resistors as previously mentioned, you will only need to divide that number by each resistor in ohms for each resistor for them to be added up.

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