EL – 1001 Linear Circuit Analysis - LAB Linear Circuit Analysis (EL-1001) LABORATORY MANUAL Spring 2025 LAB 05 VERIFICATION OF SUPERPOSITION THEOREM ________________________________________ __________ ___ STUDENT NAME ROLL NO SEC ______________________________________ FACULTY'S SIGNATURE & DATE MARKS AWARDED: _______________________________________________________________________ NATIONAL UNIVERSITY OF COMPUTER AND EMERGING SCIENCES (FAST-NUCES), KARACHI NUCES, KARACHI Spring-2025 EL – 1001 Linear Circuit Analysis - LAB Lab Session 05: VERIFICATION OF SUPERPOSITION THEOREM OBJECTIVE: • To verify superposition theorem in DC circuit. EQUIPMENT: • DC Power supply 11V (two) • DMM • Resistors: 1kΩ (two), 1.2k Ω, 3.3k Ω BACKGROUND: The superposition theorem allows us to calculate the combined effects of a multi-source circuit by summing the individual effects of each source acting alone. Particular attention must be paid to current directions and voltage polarities when applying superposition. The circuit has two voltage sources, VS1 and VS2. According to superposition theorem, voltages V1, V2 and V3 and currents I1, I2, and I3 can be calculated by taking their values due to individual source acting alone, and then adding them. The voltage source not being considered is to be replaced with a short circuit. It is important to note that you must remove the power supply before you replace it with a short circuit. Never short-circuit a functioning power supply. Also, pay attention to the polarity of voltages due to each source so that you algebraically sum them to get the totals. PROCEDURE: 1. Use superposition principle for the circuit in Figure 1 to calculate components of V 1, V2, V3 and V4 due to each source acting alone, and record your results in Table - I. Note that V11 is the component of V1 due to Vs1 acting alone; V12 is the component of V1 due to Vs2 acting alone, etc. Similarly, calculate components of I1, I2, I3 and I4 due to each source acting alone and record your results in Table - I. 2. Complete Table - I by calculating the actual values of V1, V2, V3 and V4, and I1, I2, I3 and I4 when both VS1 and VS2 are active (ON). NUCES, KARACHI Spring-2025 EL – 1001 Linear Circuit Analysis - LAB 3. Connect the circuit in Figure 1. Remove power supply VS2 and replace it with a short circuit. Then measure the voltages V11, V21, V31 and V41 and currents I11, I21, I31 and I41 record them in Table-II, in the appropriate column. 4. Repeat above step, replacing VS1 with a short circuit and connecting VS2 in the circuit. This will enable you to measure and record V12, V22, V32 and V42 and currents I12, I22, I32 and I42. 5. Finally connect the complete circuit with both sources active. Measure and record the actual voltages V1, V2, V3 and V4 and currents I1, I2, I3 and I4. Compare your measured and calculated data. NUCES, KARACHI Spring-2025 EL – 1001 Linear Circuit Analysis - LAB CALCULATIONS: NUCES, KARACHI Spring-2025 EL – 1001 Linear Circuit Analysis - LAB NUCES, KARACHI Spring-2025 EL – 1001 Linear Circuit Analysis - LAB NUCES, KARACHI Spring-2025 EL – 1001 Linear Circuit Analysis - LAB Lab Report: (It is recommended to write Lab Report in bullet Form. Attach extra sheet if needed.) ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ NUCES, KARACHI Spring-2025 EL – 1001 Linear Circuit Analysis - LAB ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ NUCES, KARACHI Spring-2025 EL – 1001 Linear Circuit Analysis - LAB Assessment Rubrics for LCA Lab 5 Method: Lab reports and instructor observation during Lab sessions Outcome Assessed: a. Ability to conduct experiments, as well as to analyse and interpret data (P4/PLO 4). b. An ability to work effectively as an individual or in a team. (A5/PLO 9). c. Ability to demonstrate the use of the techniques, skills, and modern engineering tools necessary for engineering practice (P4/PLO 5). d. An ability to design a solution for an open-ended lab with appropriate considerations for public health and safety, cultural, societal, and environmental factors. (C5/PLO3) Performance Does not meet expectation (0-1) Meets expectation (2-3) Exceeds expectation (4-5) Applicable Marks /Not Applicable (NA) 1. Realization of Experiment [c] Incapable of selecting Needs guidance to select relevant Selects relevant equipment to the relevant equipment i.e., equipment i.e., power supply, experiment i.e., power supply, power supply, DMM and DMM and resistors to the DMM and resistors, develops resistors to conduct the experiment, equipment experiment and to develop setup diagrams of equipment connections or wiring equipment connection or wiring connections or wiring without any diagrams. diagrams. assistance. Distracts or discourages other Cooperates with other group Actively engages and cooperates 2. Individual or group members from members in a reasonable manner, with other group members in an Teamwork [b] conducting the experiment or or as an individual, perform the effective manner, or actively look discouraged or experiment in a manner guided. perform an experiment in an distracted as an individual. organized and professional manner as an individual. Unable to use DMM to check Calibrates equipment i.e., the Does proper calibration of 3. Conducting the resistance, voltages, and DMM properly and measures the equipment, measures all Experiment [a] current values; unable to resistances currents and voltages resistances, voltages, and apply superposition principal with some error, uses currents accurately, expertly uses to perform experiment. superposition principal to superposition principal to obtain perform experiment. voltage and current values and carefully 4. Laboratory Safety Disregards safety rules and Observes safety rules and Respectfully procedures with minor deviation. observes safety rules and procedures. Rules [c] procedures 5. Data Collection Does not know how to plan Plans data collection to achieve Plans data collection to achieve [a] objectives, experimental objectives, data collection to achieve experimental experimental goals; voltage measures the current and measures all currents and and current values are not voltages with minor error, collects voltages across the resistors measured properly, data complete data with minor error. accurately and conducts an orderly and a complete data collected is incomplete and collection. contain errors. 6. Data Analysis [a] Unable to apply Applies superposition theorem to Accurately applies superposition superposition theorem for calculate the theoretical values; theorem for calculating values; calculating the required data; attempts to correlate between correlates experimental results to theoretical values; no attempt to correlate measured and calculated values; known to account for accounts for measurement errors experimental results with attempts errors and and parameters that affect known theoretical values; measurement that affect experimental results. incapable of explaining parameters experimental results. measurement errors. 7. Design of Unable to design the Able to design and partially Able to design and implement the Experiment [d] complete solution of open- implement the complete solution complete solution of open-ended ended problem with safety, of open-ended problem with problem with safety, health and related health, and environment safety, health, and environment environment related considerations. considerations. related considerations. Total NUCES, KARACHI Spring-2025