Enter the resistance, impedance, and phase angle into the calculator to determine the missing variable.
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Impedance to Resistance Formula
The following formula is used to calculate the resistance from impedance and phase angle.
R = Z \cdot cos(\theta)
Variables:
- R is the resistance (Ohms)
- Z is the impedance (Ohms)
- θ is the phase angle (Degrees)
To calculate the resistance, multiply the impedance by the cosine of the phase angle.
| Impedance |Z| (Ω) | Phase Angle φ (°) | Resistance R (Ω) |
|---|---|---|
| 4 | 0 | 4.000 |
| 4 | 15 | 3.864 |
| 4 | 30 | 3.464 |
| 4 | 45 | 2.828 |
| 4 | 60 | 2.000 |
| 8 | 0 | 8.000 |
| 8 | 15 | 7.727 |
| 8 | 30 | 6.928 |
| 8 | 45 | 5.657 |
| 8 | 60 | 4.000 |
| 50 | 0 | 50.000 |
| 50 | 15 | 48.296 |
| 50 | 30 | 43.301 |
| 50 | 45 | 35.355 |
| 50 | 60 | 25.000 |
| 100 | 0 | 100.000 |
| 100 | 15 | 96.593 |
| 100 | 30 | 86.603 |
| 100 | 45 | 70.711 |
| 100 | 60 | 50.000 |
| Formula: R = |Z| × cos(φ). Values assume magnitude of impedance |Z| in ohms and phase angle φ in degrees. | ||
What is Impedance?
Impedance is a measure of opposition that a circuit presents to the passage of a current when a voltage is applied. It is a complex quantity that includes both resistance and reactance, and it is usually represented as a complex number. Impedance is used in AC circuits to describe the relationship between voltage and current, and it plays a crucial role in the design and analysis of electrical and electronic systems. The phase angle is the angle of the impedance in the complex plane, which indicates the phase difference between the voltage and the current.
How to Calculate Resistance from Impedance?
The following steps outline how to calculate the resistance from impedance and phase angle.
- First, determine the impedance (Z).
- Next, determine the phase angle (θ).
- Next, calculate the cosine of the phase angle.
- Finally, calculate the resistance using the formula R = Z * cos(θ).
- After inserting the values and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Impedance (Z) = 50 Ohms
Phase Angle (θ) = 30 Degrees