Analyze capacitor charging with flexible scientific input choices and units. Estimate related flux values accurately. Visualize trends, validate formulas, and save polished study reports.
Use the mode selector to switch among common displacement current calculations.
These sample cases show how different input modes lead to displacement current values.
| Scenario | Main Inputs | Estimated Result |
|---|---|---|
| Flux-rate method | εr = 1, dΦE/dt = 1.2 × 106 V·m/s | Id ≈ 1.0625 × 10-5 A |
| Field-rate method | εr = 2.5, A = 0.015 m², dE/dt = 3 × 108 V/m/s | Id ≈ 9.9609 × 10-5 A |
| Voltage-ramp method | εr = 4, A = 0.02 m², d = 1.5 mm, dV/dt = 5000 V/s | Id ≈ 2.3611 × 10-6 A |
| AC capacitor method | C = 47 nF, f = 60 kHz, Vrms = 5 V | Irms ≈ 8.8593 × 10-2 A |
Id = ε × (dΦE/dt)
Id = ε × A × (dE/dt)C = εA/dId = C × (dV/dt) = εA(dV/dt)/d
Irms = ωCVrmsω = 2πfXc = 1/(ωC)
Here, ε = ε0εr, ε0 = 8.854187817 × 10-12 F/m, A is area, d is separation, E is electric field, and ΦE is electric flux.
Displacement current is the current-like term caused by a changing electric field. Maxwell added it to Ampère’s law so electromagnetic equations stay consistent in capacitors and empty space.
A changing electric field exists between the plates while the capacitor charges or discharges. That changing field produces displacement current, which matches the circuit current in the connecting wires.
Use voltage-ramp mode when you know plate area, plate spacing, dielectric constant, and the rate of voltage change. It is ideal for capacitor charging studies and transient waveform analysis.
Relative permittivity scales the medium’s permittivity. A larger εr increases capacitance and displacement current for the same geometry and signal change rate.
In a charging capacitor, the displacement current between plates equals the conduction current in the wires under ideal conditions. They arise differently, but continuity of current is preserved.
This calculator uses V·m/s for the rate of electric flux change. That works cleanly with permittivity in F/m to produce displacement current in amperes.
RMS values are standard for sinusoidal circuit analysis because they connect directly to measurable effective voltage and current. The calculator also reports peak values for waveform interpretation.
Yes. Enter the appropriate relative permittivity for the material. The calculator then adjusts permittivity, capacitance, and displacement current for that dielectric medium.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.