Skip to main content

Rogowski Coil AC Current Sensor Mutual Inductance & Output Voltage Calculator

A Rogowski coil is an air-cored toroidal inductive sensor designed to measure high-frequency and pulsed currents without magnetic saturation.

Uniform turns wound per meter of flexible coil

Cross-sectional area of non-magnetic coil former

Rate of change of measured primary AC current

Calculated Result
1.51 V

Induced Voltage Output

Mutual Inductance

100.531 nH

Calculation Breakdown

  1. Rogowski Induction Lawv(t) = -M · (di/dt) => 1.51 V

Output Voltage vs Current Slew Rate

Interactive visualization based on your current inputs

Vout
0.00.81.52.33.05 A/µs15 A/µs30 A/µsdi/dt (A/µs)Output (V)

What Is the Rogowski Coil AC Current Sensor Mutual Inductance & Output Voltage Calculator?

A Rogowski coil is an air-cored toroidal inductive sensor designed to measure high-frequency and pulsed currents without magnetic saturation.

Its output voltage is strictly proportional to the time derivative of primary current, requiring an electronic integrator to recover instantaneous current.

How Does the Rogowski Coil AC Current Sensor Mutual Inductance & Output Voltage Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Rogowski Coil AC Current Sensor Mutual Inductance & Output Voltage Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

M = \mu_0 n A, \quad v_{out}(t) = -M \frac{di}{dt}

Rogowski coil mutual induction voltage formula.

How to Use the Rogowski Coil AC Current Sensor Mutual Inductance & Output Voltage Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

High-Frequency Inverter Current Probe

Input Values:

turnsPerMeterN:2500
coilAreaMm2:50
currentDerivativeDiDtAperUs:25.0

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Mutual inductance M = μ0 · n · A.

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

Explore more tools and calculators in Math Calculators