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DC Voltage Drop Calculator

DC Voltage Drop Formula:

\[ VD = 2 \times \rho \times \frac{L \times I}{A} \]

Ω·m
meters
amps

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1. What is a DC Voltage Drop Calculator?

Definition: This calculator estimates the voltage drop in a DC circuit based on the conductor's resistivity, length, current, and cross-sectional area.

Purpose: It helps electrical engineers and technicians determine how much voltage will be lost over a distance in DC power systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ VD = 2 \times \rho \times \frac{L \times I}{A} \]

Where:

Explanation: The formula calculates the voltage drop for the round trip (hence the factor of 2) based on the conductor's resistance per unit length.

3. Importance of Voltage Drop Calculation

Details: Proper voltage drop estimation ensures electrical devices receive adequate voltage, prevents excessive power loss, and maintains system efficiency.

4. Using the Calculator

Tips: Enter the conductor resistivity (default 1.68×10⁻⁸ Ω·m for copper), length in meters, current in amps, and cross-sectional area in m². All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is there a factor of 2 in the formula?
A: The factor of 2 accounts for the round-trip path of current in a DC circuit (out to the load and back).

Q2: What's a typical resistivity value for copper?
A: Copper has a resistivity of about 1.68×10⁻⁸ Ω·m at 20°C. For aluminum, use 2.65×10⁻⁸ Ω·m.

Q3: How does conductor size affect voltage drop?
A: Larger cross-sectional area (A) reduces voltage drop, as resistance decreases with increasing conductor size.

Q4: What's an acceptable voltage drop?
A: Typically 3-5% of supply voltage for power circuits, but requirements vary by application and standards.

Q5: Does temperature affect the calculation?
A: Yes, resistivity changes with temperature. For precise calculations, use resistivity values at operating temperature.

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