Phase Angle Calculator

In AC circuits, the phase angle describes how far the voltage leads or lags behind the current — a critical value for understanding circuit efficiency and power delivery. Enter your circuit's Inductive Reactance (XL), Capacitive Reactance (XC), and Resistance (R) into the Phase Angle Calculator, then select your preferred output units (degrees or radians). You'll get the Phase Angle, along with Total Impedance, Net Reactance, Circuit Behavior, and Power Factor.

Ω

Opposition to current flow due to inductance

Ω

Opposition to current flow due to capacitance

Ω

Pure resistive component of the circuit

Results

Phase Angle

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Total Impedance

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Net Reactance

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Circuit Behavior

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Power Factor

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Frequently Asked Questions

What is a phase angle in AC circuits?

Phase angle is the angular difference between voltage and current waveforms in an AC circuit. It indicates whether the circuit is capacitive, inductive, or purely resistive.

How do you calculate phase angle using reactance values?

Phase angle is calculated using the formula: θ = arctan((XL - XC) / R), where XL is inductive reactance, XC is capacitive reactance, and R is resistance.

What does a positive phase angle indicate?

A positive phase angle means the circuit is inductive (XL > XC), and voltage leads current. The circuit stores energy in magnetic fields.

What does a negative phase angle mean?

A negative phase angle indicates a capacitive circuit (XC > XL), where current leads voltage. The circuit stores energy in electric fields.

How accurate are phase angle calculators?

Phase angle calculators are highly accurate for theoretical calculations. Real-world accuracy depends on the precision of component measurements and environmental factors.

What is the relationship between phase angle and power factor?

Power factor equals the cosine of the phase angle. A smaller phase angle means higher power factor and more efficient power transfer in the circuit.

Can phase angle be zero in AC circuits?

Yes, when inductive and capacitive reactances are equal (XL = XC), the phase angle is zero, making the circuit purely resistive with unity power factor.

Why is phase angle important in electrical engineering?

Phase angle affects power efficiency, voltage regulation, and system stability. Understanding phase relationships helps in power factor correction and AC circuit analysis.