Answer this Question Only: What did you learn in this activity? Equipment and Materials Quantity Description 1 9 V battery 1 2.2 kΩ resistor _______________ 1 3.3 kΩ resistor _____________ 1 4.7 kΩ resistor _______________ 1 6.8 kΩ resistor _______________ Digital Multimeter (Model: ___________ SRN:___________) 1 Breadboard Connecting Wires Procedure Parallel Circuit 1 Using an Ohm-meter check the values of your resistors and record the values under Equipment and Materials. Using the Parallel Circuit 1 in Figure 5.1 with R1 = 3.3 kΩ, R2 = 4.7 kΩ and E = 9 volts, calculate the total resistance and record it in the Calculated Total Resistance of the Data Sheet. Then determine the theoretical voltages at nodes A, B, and C with respect to ground. Record these values in Table 5.1. Apply Ohm’s law to determine the expected currents through R1 and R2. Record these values in Table 5.2. Also determine and record the total current. Construct the circuit without the power supply. Set the DMM to read ohms and apply it to the circuit from node A to ground. The red lead should be placed at node A and the black lead should be connected to ground. Record this value in the Measured Total Resistance of the Data Sheet. Add the power supply to the circuit. Set the DMM to read DC voltage and apply it to the circuit from point A to ground. The red lead should be placed at node A and the black lead should be connected to ground. Record this voltage in Table 5.1. Repeat the measurements at points B and C. Set the DMM to measure DC current. Remember, current is measured at a single point and requires the meter to be inserted in-line. To measure the total supplied current place the DMM between nodes A and B. The red lead should be placed closer to the positive source terminal. Repeat this process for the currents through R1 and R2. Determine the percent errors between theoretical and measured for each of the currents. Then calculate the total power dissipated by each of the resistors using the measured currents and measured resistances. Record these values in Table 5.2. Crosscheck the theoretical results by computing the currents through the two resistors using current divider rule. Record these in Table 5.2. Parallel Circuit 2 Consider the Parallel Circuit 2 in Figure 5.2 with R1 = 3.3 kΩ, R2 = 4.7 kΩ, R3 = 2.2 kΩ, R4 = 6.8 kΩ, and E = 9 volts, calculate the total resistance and record it in the Calculated Total Resistance of the Data Sheet. Then using Ohm’s law, determine the currents through each of the four resistors and record the values in Table 5.3. Note that the larger the resistor, the smaller the current should be. Also determine and record the total supplied current and the current IX (note that this current should equal the sum of the currents through R3 and R4). Construct the circuit without the power supply. Set the DMM to read ohms and apply it to the circuit from node A to ground. Record this value in the Measured Total Resistance of the Data Sheet. Add the power supply to the circuit. Set the DMM to measure DC current. Place the DMM probes in-line with R1 and measure its current. Then determine the percentage error between the theoretical and measured values. Repeat this process for the remaining three resistors. Then measure the total current supplied by the source by inserting the ammeter between nodes A and B. Calculate the power dissipated by each resistors using the measured currents and measured resistances. Calculate also the total power dissipated. Record these values in the Table 5.4. To find IX, insert the ammeter at point X with the black probe at node D. Record this value in Table 5.3. Data Sheet Parallel Circuit 1 Calculated Total Resistance: ________________ Measured Total Resistance: ________________ Theoretical Voltage Measured Voltage VA VB VC Table 5.1 Calculated Current Measured Current Percent Error Measured Power (using measured current and measured resistance) Ohm’s Law Current Divider R1 R2 Total Table 5.2 Parallel Circuit 2 Calculated Total Resistance: ________________ Measured Total Resistance: ________________ Calculated Current Measured Current Percent Error Measured Power (using measured current and measured resistance) R1 R2 R3 R4 Total IX - Table 5.3 Questions: What are the challenges you faced in doing this activity? How do you overcome those challenges? What can you say about the current divider rule? What did you learn in this activity?

Answer this Question Only: What did you learn in this activity? Equipment and Materials Quantity Description 1 9 V battery 1 2.2 kΩ resistor _________ 1 3.3 kΩ resistor _ 1 4.7 kΩ resistor _ 1 6.8 kΩ resistor _ Digital Multimeter (Model: _ SRN:_) 1 Breadboard Connecting Wires Procedure Parallel Circuit 1 Using an Ohm-meter check the values of your resistors and record the values under Equipment and Materials. Using the Parallel Circuit 1 in Figure 5.1 with R1 = 3.3 kΩ, R2 = 4.7 kΩ and E = 9 volts, calculate the total resistance and record it in the Calculated Total Resistance of the Data Sheet. Then determine the theoretical voltages at nodes A, B, and C with respect to ground. Record these values in Table 5.1. Apply Ohm’s law to determine the expected currents through R1 and R2. Record these values in Table 5.2. Also determine and record the total current. Construct the circuit without the power supply. Set the DMM to read ohms and apply it to the circuit from node A to ground. The red lead should be placed at node A and the black lead should be connected to ground. Record this value in the Measured Total Resistance of the Data Sheet. Add the power supply to the circuit. Set the DMM to read DC voltage and apply it to the circuit from point A to ground. The red lead should be placed at node A and the black lead should be connected to ground. Record this voltage in Table 5.1. Repeat the measurements at points B and C. Set the DMM to measure DC current. Remember, current is measured at a single point and requires the meter to be inserted in-line. To measure the total supplied current place the DMM between nodes A and B. The red lead should be placed closer to the positive source terminal. Repeat this process for the currents through R1 and R2. Determine the percent errors between theoretical and measured for each of the currents. Then calculate the total power dissipated by each of the resistors using the measured currents and measured resistances. Record these values in Table 5.2. Crosscheck the theoretical results by computing the currents through the two resistors using current divider rule. Record these in Table 5.2. Parallel Circuit 2 Consider the Parallel Circuit 2 in Figure 5.2 with R1 = 3.3 kΩ, R2 = 4.7 kΩ, R3 = 2.2 kΩ, R4 = 6.8 kΩ, and E = 9 volts, calculate the total resistance and record it in the Calculated Total Resistance of the Data Sheet. Then using Ohm’s law, determine the currents through each of the four resistors and record the values in Table 5.3. Note that the larger the resistor, the smaller the current should be. Also determine and record the total supplied current and the current IX (note that this current should equal the sum of the currents through R3 and R4). Construct the circuit without the power supply. Set the DMM to read ohms and apply it to the circuit from node A to ground. Record this value in the Measured Total Resistance of the Data Sheet. Add the power supply to the circuit. Set the DMM to measure DC current. Place the DMM probes in-line with R1 and measure its current. Then determine the percentage error between the theoretical and measured values. Repeat this process for the remaining three resistors. Then measure the total current supplied by the source by inserting the ammeter between nodes A and B. Calculate the power dissipated by each resistors using the measured currents and measured resistances. Calculate also the total power dissipated. Record these values in the Table 5.4. To find IX, insert the ammeter at point X with the black probe at node D. Record this value in Table 5.3. Data Sheet Parallel Circuit 1 Calculated Total Resistance: Measured Total Resistance: Theoretical Voltage Measured Voltage VA VB VC Table 5.1 Calculated Current Measured Current Percent Error Measured Power (using measured current and measured resistance) Ohm’s Law Current Divider R1 R2 Total Table 5.2 Parallel Circuit 2 Calculated Total Resistance: Measured Total Resistance: ______ Calculated Current Measured Current Percent Error Measured Power (using measured current and measured resistance) R1 R2 R3 R4 Total IX - Table 5.3 Questions: What are the challenges you faced in doing this activity? How do you overcome those challenges? What can you say about the current divider rule? What did you learn in this activity?

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

Answer this Question Only:

What did you learn in this activity?

Equipment and Materials

Quantity	Description
1	9 V battery
1	2.2 kΩ resistor _______________
1	3.3 kΩ resistor _____________
1	4.7 kΩ resistor _______________
1	6.8 kΩ resistor _______________
	Digital Multimeter (Model: ___________ SRN:___________)
1	Breadboard
	Connecting Wires

Procedure

Parallel Circuit 1

Using an Ohm-meter check the values of your resistors and record the values under Equipment and Materials.
Using the Parallel Circuit 1 in Figure 5.1 with R1 = 3.3 kΩ, R2 = 4.7 kΩ and E = 9 volts, calculate the total resistance and record it in the Calculated Total Resistance of the Data Sheet. Then determine the theoretical voltages at nodes A, B, and C with respect to ground. Record these values in Table 5.1.
Apply Ohm’s law to determine the expected currents through R1 and R2. Record these values in Table 5.2. Also determine and record the total current.
Construct the circuit without the power supply. Set the DMM to read ohms and apply it to the circuit from node A to ground. The red lead should be placed at node A and the black lead should be connected to ground. Record this value in the Measured Total Resistance of the Data Sheet.
Add the power supply to the circuit. Set the DMM to read DC voltage and apply it to the circuit from point A to ground. The red lead should be placed at node A and the black lead should be connected to ground. Record this voltage in Table 5.1. Repeat the measurements at points B and C.
Set the DMM to measure DC current. Remember, current is measured at a single point and requires the meter to be inserted in-line. To measure the total supplied current place the DMM between nodes A and B. The red lead should be placed closer to the positive source terminal. Repeat this process for the currents through R1 and R2. Determine the percent errors between theoretical and measured for each of the currents. Then calculate the total power dissipated by each of the resistors using the measured currents and measured resistances. Record these values in Table 5.2.
Crosscheck the theoretical results by computing the currents through the two resistors using current divider rule. Record these in Table 5.2.

Parallel Circuit 2

Consider the Parallel Circuit 2 in Figure 5.2 with R1 = 3.3 kΩ, R2 = 4.7 kΩ, R3 = 2.2 kΩ, R4 = 6.8 kΩ, and E = 9 volts, calculate the total resistance and record it in the Calculated Total Resistance of the Data Sheet. Then using Ohm’s law, determine the currents through each of the four resistors and record the values in Table 5.3. Note that the larger the resistor, the smaller the current should be. Also determine and record the total supplied current and the current I_X (note that this current should equal the sum of the currents through R3 and R4).
Construct the circuit without the power supply. Set the DMM to read ohms and apply it to the circuit from node A to ground. Record this value in the Measured Total Resistance of the Data Sheet.
Add the power supply to the circuit. Set the DMM to measure DC current. Place the DMM probes in-line with R1 and measure its current. Then determine the percentage error between the theoretical and measured values. Repeat this process for the remaining three resistors. Then measure the total current supplied by the source by inserting the ammeter between nodes A and B. Calculate the power dissipated by each resistors using the measured currents and measured resistances. Calculate also the total power dissipated. Record these values in the Table 5.4.
To find I_X, insert the ammeter at point X with the black probe at node D. Record this value in Table 5.3.

Data Sheet

Parallel Circuit 1

Calculated Total Resistance: ________________

Measured Total Resistance: ________________

	Theoretical Voltage	Measured Voltage
V_A
V_B
V_C

Table 5.1

	Calculated Current	Measured Current	Percent Error	Measured Power (using measured current and measured resistance)
Ohm’s Law	Current Divider
R1
R2
Total

Table 5.2

Parallel Circuit 2

Calculated Total Resistance: ________________

Measured Total Resistance: ________________

	Calculated Current	Measured Current	Percent Error	Measured Power (using measured current and measured resistance)
R1
R2
R3
R4
Total
I_X				-

Table 5.3

Questions:

What are the challenges you faced in doing this activity?
How do you overcome those challenges?
What can you say about the current divider rule?
What did you learn in this activity?

+ Schematic
A
PRI
R4
Figure 5.1. Paralel Circuit 1
Figure 5.2. Parallel Circuit 2
B.

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