Step-by-step example
Scenario: Design a low-pass filter with R=10kΩ and C=100nF.
Formula: fc = 1 / (2π x R x C)
- fc = 1 / (2π x 10000 x 0.0000001)
- fc = 1 / 0.00628
- fc = 159 Hz
Result: 159 Hz cutoff frequency
Use cases
- Estimate cutoff frequency for simple RC or RL filters.
- Compare how R, C, or L values shift the response.
- Document first-order filter behavior for reports.
- Create quick checks before deeper circuit analysis.
Assumptions & limitations
- Results are estimates and may be rounded; small differences are expected.
- Inputs assume steady-state values; transient and surge effects are not modeled.
- Voltage can vary by supply, load, and location; use measured values when possible.
- Power factor varies by load type; use a realistic value for inductive equipment.
- Wiring rules and safety codes vary by jurisdiction; consult a licensed electrician for installation decisions.
Sources & references
- OSHA Electrical Standards overview - Summarizes electrical safety standards and references NFPA 70/70E.
- University of Utah ECE - RC and RL filter gallery - Lists RC/RL filter transfer functions and cutoff frequency relationships.
- City College of New York - Low pass filter lab - Provides the RC cutoff frequency formula f_c = 1/(2 pi R C).
- OpenStax University Physics - Electrical energy and power - Defines electric power relationships such as P = IV and ties them to circuit variables.