Impedance using Power Factor Calculator

Formula

The formula to calculate the Impedance is:

\[ Z = \frac{R}{\cos(\Phi)} \]

Where:

\(Z\) is the Impedance (Ω)
\(R\) is the Resistance (Ω)
\(\cos(\Phi)\) is the Power Factor

Definition

Impedance (Z) in electrical devices refers to the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system.

Example Calculation

Let's assume the following values:

Resistance (\(R\)) = 60 Ω
Power Factor (\(\cos(\Phi)\)) = 0.86

Using the formula:

\[ Z = \frac{60}{0.86} \]

Evaluating:

\[ Z = 69.7674418604651 \text{ Ω} \]

The Impedance is 69.7674418604651 Ω.

Conversion Chart

Resistance (R, Ω)	Power Factor (cosΦ)	Impedance (Z, Ω)
50	0.86	76.635696813519
52	0.86	79.701124686059
54	0.86	82.766552558600
56	0.86	85.831980431141
58	0.86	88.897408303682
60	0.86	91.962836176222
62	0.86	95.028264048763
64	0.86	98.093691921304
66	0.86	101.159119793845
68	0.86	104.224547666385
70	0.86	107.289975538926