Power Transmitted Using Load Current (1-Phase 2-Wire Mid-Point Earthed) Calculator

Power Transmitted Formula:

\[ P = \frac{I \times V_m \times \cos(\Phi)}{\sqrt{2}} \]

Current Underground AC (I):

Ampere

Maximum Voltage Underground AC (Vm):

Volt

Phase Difference (Φ):

Radian

Power Transmitted (P):

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1. What is Power Transmitted Using Load Current?

Power Transmitted Using Load Current refers to the amount of electrical power that is transferred through a 1-Phase 2-Wire Mid-Point Earthed system. It represents the actual power doing useful work in the circuit, accounting for both voltage and current with their phase relationship.

2. How Does the Calculator Work?

The calculator uses the power transmitted formula:

\[ P = \frac{I \times V_m \times \cos(\Phi)}{\sqrt{2}} \]

Where:

\( P \) — Power Transmitted (Watt)
\( I \) — Current Underground AC (Ampere)
\( V_m \) — Maximum Voltage Underground AC (Volt)
\( \Phi \) — Phase Difference (Radian)
\( \cos \) — Cosine trigonometric function
\( \sqrt{2} \) — Square root of 2 (approximately 1.4142)

Explanation: The formula calculates the real power in an AC circuit by considering the RMS value of voltage (Vm/√2), current, and the cosine of the phase angle between them.

3. Importance of Power Calculation

Details: Accurate power calculation is essential for designing electrical systems, determining energy consumption, sizing components, and ensuring efficient power transmission in 1-Phase 2-Wire Mid-Point Earthed systems.

4. Using the Calculator

Tips: Enter current in amperes, maximum voltage in volts, and phase difference in radians. All values must be valid positive numbers (current > 0, voltage > 0, phase difference ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: Why is the √2 factor used in the formula?
A: The √2 factor converts the maximum voltage (Vm) to RMS voltage, as power calculations typically use RMS values in AC circuits.

Q2: What is the significance of phase difference in power calculation?
A: Phase difference determines the power factor (cosΦ), which indicates how effectively the current is being converted into useful work.

Q3: What are typical phase difference values in practical systems?
A: Phase difference typically ranges from 0 to π/2 radians (0° to 90°), with 0 indicating purely resistive load and π/2 indicating purely reactive load.

Q4: How does this differ from DC power calculation?
A: DC power is simply P = V × I, while AC power must account for the phase relationship between voltage and current through the power factor.

Q5: What are the limitations of this calculation?
A: This calculation assumes sinusoidal waveforms and may not be accurate for systems with significant harmonic distortion or non-linear loads.