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Inductor Voltage Formula:
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The inductor voltage formula \( V = L \times \frac{di}{dt} \) describes the relationship between the voltage across an inductor, its inductance, and the rate of change of current through it. This fundamental equation is derived from Faraday's law of electromagnetic induction.
The calculator uses the inductor voltage formula:
Where:
Explanation: The voltage induced in an inductor is proportional to both the inductance value and the rate at which the current through the inductor is changing.
Details: Accurate inductor voltage calculation is crucial for designing and analyzing electrical circuits, particularly in power electronics, filter design, and transient analysis where inductors play a vital role.
Tips: Enter inductance in henries (H) and current change rate in amperes per second (A/s). Both values must be valid numerical values greater than zero.
Q1: What happens when current is constant through an inductor?
A: When current is constant (di/dt = 0), the voltage across an ideal inductor is zero, effectively acting as a short circuit to DC current.
Q2: How does the formula apply to AC circuits?
A: In AC circuits, the formula becomes \( V = L \times \frac{d}{dt}(I_m\sin(\omega t)) \), which simplifies to show that inductor voltage leads current by 90 degrees.
Q3: What are typical inductance values used in practice?
A: Inductance values range from nanohenries (nH) in high-frequency applications to henries (H) in power supply filtering and energy storage applications.
Q4: Are there limitations to this formula?
A: This formula assumes ideal inductor behavior and may need modification for real inductors that have resistance, capacitance, and saturation effects.
Q5: How is this formula used in circuit protection?
A: The formula helps design protection circuits that account for voltage spikes caused by rapid current changes, preventing damage to semiconductor devices.