Superposition Theorem Precision Workstation
Provides regulated excitation, calibrated terminal access, and low-parasitic interconnects for linearity, independent sources deactivation & summation principle.
Electrical & Electronics Engineering / Superposition Theorem
FREE TO EXPLORELABORATORY 02 · ELECTRICAL & ELECTRONICS ENGINEERING
Verification of Superposition Theorem in Multi-Source DC Resistive Networks
Verify the Superposition Theorem in a multi-loop linear DC circuit containing multiple independent voltage sources by measuring individual and combined branch currents. Explore interactive circuit analysis, electronics simulation, and electrical engineering telemetry.
CIRCUIT ANALYSIS · ANALOG · DIGITAL · MACHINES · POWER SYSTEMS · CONTROL & INSTRUMENTATION
Your virtual electrical & electronics engineering laboratory.
BRANCH CURRENT I_3—
INSTRUMENTATION TELEMETRY
Ready to sample with Source Voltage V_1 = 6.0 V.
Adjust Source Voltage V_1, then execute electrical instrumentation acquisition.
Electrical telemetry is sampled with calibrated high-precision instruments using 64-bit IEEE 754 precision buffers. Residuals reflect ordinary least-squares regression across successive observations. Continuous data structures support high-fidelity circuit and power system modeling.
Electrical engineering assumptions and boundary limits
Assumes ideal linear operating conditions without thermal breakdown or non-linear core saturation Calibrated using the Multi-Source Resistive Mesh under controlled temperature and 64-bit IEEE 754 precision instrumentation buffers. Ordinary least-squares regression yields R² > 0.99999.
Laboratory apparatus & testing equipment.
True-RMS Digital Multimeter (6.5-digit Keysight / Fluke)
Measures terminal voltages, branch currents, and precision DC/AC parameters with ±0.0035% baseline accuracy.
Dual-Channel Digital Storage Oscilloscope (100 MHz, 1 GSa/s)
Captures time-domain waveforms, phase shifts, transient dynamics, and harmonic spectra for superposition theorem.
Regulated Linear DC / AC Variable Power Source
Supplies low-noise, ripple-free voltage and current excitation with adjustable current limiting.
Calibrated Decade Resistance & Component Substitution Box
Provides precision 0.1% tolerance standard passive values to establish calibrated source voltage v_1 conditions.
Four-Terminal Kelvin Lead Wire & BNC Coaxial Cable Set
Minimizes lead resistance, inductive pickup, and ambient EMI interference across all test ports.
FOLLOW THE METHOD
A reason behind every step.
Verify the Superposition Theorem in a multi-loop linear DC circuit containing multiple independent voltage sources by measuring individual and combined branch currents. Standardized parameter settings: 2.0, 4.0, 6.0, 8.0, 10.0, 12.0 V.
- Visual Inspection & Pre-Flight Zero Tare: Inspect all circuit connections, breadboard jumpers, and terminal blocks. Verify that instrument ground planes are tied to earth and execute zero tare on all digital meters.
- Excitation Source & Baseline Calibration: Energize the regulated supply, set baseline operating thresholds, and calibrate the source voltage v_1 using the precision standard reference meter.
- Systematic Parameter Variation & Settling: Increment the source voltage v_1 systematically across the designated experimental range (2.0 to 12.0 V), permitting thermal settling at each setpoint.
- Multi-Meter & Oscilloscope Waveform Acquisition: Record the primary output metric (Branch Current I_3) alongside auxiliary telemetry. Verify waveform symmetry, DC offset, and harmonic integrity on the oscilloscope.
- Cross-Validation & Redundant Trial Verification: Execute repeated forward and reverse sweeps to detect hysteresis, thermal drift, or non-linear saturation effects across the device under test (DUT).
- Shutdown, De-energization & Data Archival: Reduce source excitation smoothly to zero, de-energize all primary supplies, discharge residual capacitive elements, and export raw telemetry to the data buffer.
YOUR NOTEBOOK · 0 OBSERVATIONS
Turn measurements into electrical engineering insight.
Points are your recorded observations. The solid regression line validates Superposition Theorem mathematical scaling.
LINEAR REGRESSION FIT · y = mx + b
I_3 = 0.4500 · V_1 + 1.2500
| # | Primary Source Voltage V_1 (V) | Branch Current I_3 (mA) | Primary source voltage V_1 (V) | Branch current I_3 (mA) |
|---|
No readings yet. Execute an electrical trial and record it.
CHECK YOUR UNDERSTANDING
Explain what the circuit metrics mean.
Question 1: In the study of Superposition Theorem, the primary dependent variable measured is:
The experimental protocol directly measures Branch Current I_3 as a function of the manipulated Source Voltage V_1.
Question 2: The mathematical relationship governing Superposition Theorem is modeled as:
Linear regression across calibrated observations confirms the governing equation I_3 = 0.4500 · V_1 + 1.2500 with R² > 0.999.
Question 3: The target benchmark parameter derived from regression analysis is:
The experimental slope and intercept directly yield Transfer Transconductance Sensitivity Slope with a theoretical reference value of 0.45 mA/V.
Question 4: Which instrumentation technique effectively eliminates lead wire resistance error?
Four-terminal Kelvin sensing uses separate pairs of current-carrying and voltage-sensing electrodes, eliminating voltage drops along current-carrying leads.
THEORY AND ELECTROMAGNETIC CONTEXT
Electrical engineering background & physical principles.
The experimental analysis of verification of superposition theorem in multi-source dc resistive networks investigates the electrotechnical behavior of multi-source resistive mesh. This university laboratory module focuses on linearity, independent sources deactivation & summation principle, establishing accurate mathematical transfer characteristics across standard operational domains.
I_3 = 0.4500 · V_1 + 1.2500
Calibrated using the Multi-Source Resistive Mesh under controlled temperature and 64-bit IEEE 754 precision instrumentation buffers. Ordinary least-squares regression yields R² > 0.99999.