1. What is Total Power Lost in Spiral?

Total Power Lost in Spiral can be calculated based on factors such as the resistance of the spiral, the current flowing through it, and the number of inductors in the circuit model of inductor's distributed capacitance.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( K \) — Number of Inductors
• \( I_{u,n} \) — Corresponding RC Branch Current (Ampere)
• \( KR_s \) — Substrate Resistance (Ohm)

Explanation: The formula calculates the total power dissipation by summing the power loss across each RC branch, where power loss in each branch is given by \( I^2 \times R \).

3. Importance of Power Loss Calculation

Details: Accurate power loss calculation is crucial for thermal management, efficiency analysis, and proper design of spiral inductors in integrated circuits.

4. Using the Calculator

Tips: Enter the number of inductors, current in amperes, and substrate resistance in ohms. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What factors affect power loss in spiral inductors?
A: Power loss is primarily affected by the resistance of the spiral structure, current magnitude, number of turns, and substrate properties.

Q2: How does substrate resistance contribute to power loss?
A: Substrate resistance causes eddy current losses and affects the overall quality factor of the spiral inductor.

Q3: Why is the current squared in the power loss formula?
A: The I²R relationship comes from Joule's law, where power dissipation in a resistor is proportional to the square of the current flowing through it.

Q4: Are there other sources of power loss in spiral inductors?
A: Yes, including skin effect losses, proximity effect losses, and radiation losses, though these are typically smaller than resistive losses.

Q5: How can power loss be minimized in spiral inductors?
A: Using wider metal traces, thicker metal layers, proper layout techniques, and substrate shielding can help reduce power losses.