Power Equation:
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The power equation (P = V²/R) calculates electrical power in watts using the voltage across and resistance of a component. It's derived from combining Ohm's Law (V = IR) with the basic power formula (P = IV).
The calculator uses the power equation:
Where:
Explanation: The equation shows that power is proportional to the square of the voltage and inversely proportional to the resistance.
Details: Calculating power is essential for designing electrical circuits, determining component ratings, and ensuring safe operation of electrical devices.
Tips: Enter voltage in volts and resistance in ohms. Both values must be positive numbers. The calculator will compute the power in watts.
Q1: Why is power proportional to V²?
A: Because both current and voltage affect power (P=IV), and current itself depends on voltage (I=V/R), resulting in P=V²/R.
Q2: What are typical power values in circuits?
A: Power varies widely from milliwatts in small electronics to kilowatts in power systems. Always check component ratings.
Q3: Does this formula work for AC circuits?
A: For AC, you generally use RMS voltage values and consider impedance rather than just resistance.
Q4: What happens when resistance approaches zero?
A: As R→0, power approaches infinity, which is why short circuits are dangerous (in reality, wires have some resistance).
Q5: How does this relate to energy consumption?
A: Energy is power multiplied by time. Power tells you the rate of energy consumption at any moment.