1. What is the Inductor Voltage Equation?

The inductor voltage equation describes the relationship between the voltage across an inductor and the rate of change of current through it. This fundamental principle is known as Faraday's law of induction and is crucial in circuit analysis.

2. How Does the Calculator Work?

The calculator uses the inductor voltage equation:

Where:

• \( V \) — Voltage across the inductor (volts)
• \( L \) — Inductance (henries)
• \( \frac{di}{dt} \) — Rate of change of current (amps/second)

Explanation: The voltage across an inductor is proportional to both the inductance value and the rate at which the current through the inductor changes with time.

3. Importance of Inductor Voltage Calculation

Details: Understanding inductor voltage is essential for designing and analyzing circuits containing inductors, particularly in power electronics, signal processing, and transient analysis.

4. Using the Calculator

Tips: Enter the inductance value in henries and the current change rate in amps per second. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

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, acting like a short circuit.

Q2: How does this relate to inductor energy storage?
A: The energy stored in an inductor is given by \( E = \frac{1}{2}LI^2 \), which comes from integrating the voltage-current relationship.

Q3: What are typical inductance values?
A: Inductance values range from nanohenries (nH) in high-frequency circuits to henries (H) in power applications.

Q4: Does this equation apply to AC circuits?
A: Yes, in AC circuits the di/dt term leads to the concept of inductive reactance \( X_L = 2\pi fL \).

Q5: What about real (non-ideal) inductors?
A: Real inductors have resistance and capacitance effects that become significant at high frequencies or large current changes.