LABORATORY 05 · ELECTRICAL & ELECTRONICS ENGINEERING

Resonance Frequency, Quality Factor (Q), and Bandwidth in Series and Parallel RLC Circuits

Measure the frequency-dependent impedance, resonant peak, half-power bandwidth, and quality factor Q in series and parallel RLC resonant circuits under sinusoidal AC excitation. 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.

INDUCTIVE REACTANCE X_L—

INSTRUMENTATION TELEMETRY

Ready to sample with Frequency f = 3.0 kHz.

Excitation Frequency f3.0 kHzSet Frequency f (kHz)

Calibrated Tunable AC Function Generator & Precision RLC Network baseline operating point stabilized at 25.0 °C

Adjust Frequency f, 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 Tunable AC Function Generator & Precision RLC Network under controlled temperature and 64-bit IEEE 754 precision instrumentation buffers. Ordinary least-squares regression yields R² > 0.99999.

Laboratory apparatus & testing equipment.

RLC Circuit Resonance Precision Workstation

Provides regulated excitation, calibrated terminal access, and low-parasitic interconnects for phase cancellation, dynamic voltage magnification & bandpass filtering.

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 rlc circuit resonance.

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 frequency f 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.

Measure the frequency-dependent impedance, resonant peak, half-power bandwidth, and quality factor Q in series and parallel RLC resonant circuits under sinusoidal AC excitation. Standardized parameter settings: 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 kHz.

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 frequency f using the precision standard reference meter.
Systematic Parameter Variation & Settling: Increment the frequency f systematically across the designated experimental range (1.0 to 6.0 kHz), permitting thermal settling at each setpoint.
Multi-Meter & Oscilloscope Waveform Acquisition: Record the primary output metric (Inductive Reactance X_L) 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.

See a complete example report ↗

Points are your recorded observations. The solid regression line validates RLC Circuit Resonance mathematical scaling.

LINEAR REGRESSION FIT · y = mx + b

X_L = 6.2832 · f

#	Excitation Frequency f (kHz)	Inductive Reactance X_L (Ω)	Excitation frequency f (kHz)	Inductive reactance X_L (Ω)

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 RLC Circuit Resonance, the primary dependent variable measured is:

Question 2: The mathematical relationship governing RLC Circuit Resonance is modeled as:

Question 3: The target benchmark parameter derived from regression analysis is:

Question 4: Which instrumentation technique effectively eliminates lead wire resistance error?

THEORY AND ELECTROMAGNETIC CONTEXT

Electrical engineering background & physical principles.

The experimental analysis of resonance frequency, quality factor (q), and bandwidth in series and parallel rlc circuits investigates the electrotechnical behavior of tunable ac function generator & precision rlc network. This university laboratory module focuses on phase cancellation, dynamic voltage magnification & bandpass filtering, establishing accurate mathematical transfer characteristics across standard operational domains.

X_L = 6.2832 · f

Calibrated using the Tunable AC Function Generator & Precision RLC Network under controlled temperature and 64-bit IEEE 754 precision instrumentation buffers. Ordinary least-squares regression yields R² > 0.99999.