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Current Phase Angle Formula

Current Phase Angle Formula:

\[ \phi = \tan^{-1} \left( \frac{X_L - X_C}{R} \right) \]

Ω
Ω
Ω

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1. What is Current Phase Angle?

The current phase angle (φ) represents the phase difference between voltage and current in an AC circuit. It indicates whether the circuit is predominantly inductive (positive angle) or capacitive (negative angle).

2. How Does the Calculator Work?

The calculator uses the phase angle formula:

\[ \phi = \tan^{-1} \left( \frac{X_L - X_C}{R} \right) \]

Where:

Explanation: The formula calculates the angle whose tangent is the ratio of net reactance to resistance in the circuit.

3. Importance of Phase Angle Calculation

Details: Phase angle is crucial for understanding power factor, circuit behavior, and designing efficient AC systems. It helps determine whether a circuit is resistive, inductive, or capacitive.

4. Using the Calculator

Tips: Enter all values in ohms (Ω). Resistance must be greater than zero. The calculator provides results in both radians and degrees for convenience.

5. Frequently Asked Questions (FAQ)

Q1: What does a positive phase angle indicate?
A: A positive phase angle indicates the circuit is predominantly inductive, meaning current lags behind voltage.

Q2: What does a negative phase angle indicate?
A: A negative phase angle indicates the circuit is predominantly capacitive, meaning current leads voltage.

Q3: What is the range of possible phase angles?
A: Phase angles range from -90° to +90° (-π/2 to +π/2 radians), representing purely capacitive to purely inductive circuits.

Q4: How does phase angle relate to power factor?
A: Power factor = cos(φ). A phase angle of 0° gives unity power factor (most efficient), while larger angles indicate poorer power factor.

Q5: When is phase angle zero?
A: Phase angle is zero when X_L = X_C (resonance condition), making the circuit purely resistive.

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