The Paige Wire Calculator simplifies the process of calculating wire resistance and voltage drop, which are crucial for designing electrical systems. By inputting the type of wire, its length, and cross-sectional area, users can quickly obtain precise calculations, facilitating better electrical planning and implementation.
Formula of Paige Wire Calculator Online
Calculate Resistance:
The resistance of a wire is calculated using the formula:
R = (K * L) / A
Here, R represents the resistance in ohms, K is a constant value that depends on the material (for copper, it's 10.4 ohms per mil foot), L is the length of the wire in feet, and A is the cross-sectional area of the wire in circular mils.
Calculate Voltage Drop
The voltage drop across a wire can be calculated with this formula:
Vd = I * R
In this formula, Vd stands for voltage drop in volts, I is the current flowing through the wire in amperes, and R is the calculated resistance in ohms as described above.
Quick Reference Table for Copper Wire Calculations
| Length (feet) | Cross-sectional Area (circular mils) | Resistance (Ohms) | Current (Amperes) | Voltage Drop (Volts) |
|---|---|---|---|---|
| 50 | 100 | 5.20 | 5 | 26.00 |
| 100 | 50 | 20.80 | 3 | 62.40 |
| 150 | 200 | 3.90 | 10 | 39.00 |
| 200 | 100 | 20.80 | 15 | 312.00 |
| 250 | 50 | 52.00 | 20 | 1040.00 |
Example of Paige Wire Calculator Online
To demonstrate how the calculator works, consider a scenario where you need to calculate the resistance and voltage drop for a 100-foot copper wire with a cross-sectional area of 50 circular mils carrying a current of 3 amperes.
Using the formulas:
- Calculate the resistance: R = (10.4 * 100) / 50 = 20.8 ohms.
- Then calculate the voltage drop: Vd = 3 * 20.8 = 62.4 volts.
This example helps illustrate how you can use the Paige Wire Calculator to determine important electrical properties of wiring in your projects.
Most Common FAQs
The most important factor is the material of the wire, as different materials have different resistivity values.
Longer wires have greater resistance and thus a higher voltage drop along the length of the wire.
Yes, it can be use for any type of wire, as long as you know the resistivity constant, the length, and the cross-sectional area.