1. What is Phase Angle in a Coil?

The phase angle (φ) in a coil represents the phase difference between voltage and current in an inductive circuit. It's determined by the ratio of inductive reactance (X_L) to resistance (R) in the circuit.

2. How Does the Calculator Work?

The calculator uses the phase angle equation:

Where:

• \( \phi \) — Phase angle in degrees
• \( X_L \) — Inductive reactance (ohms)
• \( R \) — Resistance (ohms)

Explanation: The arctangent function calculates the angle whose tangent is the ratio of X_L to R. This angle represents how much the current lags behind the voltage in an inductive circuit.

3. Importance of Phase Angle Calculation

Details: Knowing the phase angle is crucial for understanding power factor, reactive power, and the behavior of AC circuits with inductive components like motors and transformers.

4. Using the Calculator

Tips: Enter both inductive reactance and resistance in ohms. Both values must be positive numbers. The calculator will output the phase angle in degrees.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of phase angle in an inductive circuit?
A: The phase angle ranges from 0° (purely resistive) to 90° (purely inductive).

Q2: How does frequency affect phase angle?
A: Higher frequencies increase X_L (since X_L = 2πfL), which increases the phase angle toward 90°.

Q3: What is power factor in relation to phase angle?
A: Power factor is the cosine of the phase angle (cos φ). It represents the ratio of real power to apparent power.

Q4: Can phase angle be negative?
A: In our calculation, no, since both X_L and R are positive. However, in complex circuits with capacitance, phase angles can be negative.

Q5: What's the difference between phase angle and power factor angle?
A: They are the same thing - the angle between voltage and current in an AC circuit.