Instantaneous Power Calculator

Calculate Instantaneous Power











Formula

The formula to calculate the Instantaneous Power (P(t)) is:

\[ P(t) = V_m \cdot I_m \cdot \cos(\omega t + a_v) \cdot \cos(\omega t + a_i) \]

Where:

What is Instantaneous Power?

Instantaneous power is the power at any given moment in time in an AC circuit. It varies with time and is calculated using the product of the instantaneous voltage and current values. This calculation helps in understanding the dynamic behavior of power in AC circuits, which is essential for designing and analyzing electrical systems.

Example Calculation

Let's assume the following values:

Using the formula:

\[ P(t) = 10 \cdot 5 \cdot \cos(2 \cdot 1 + 0.5) \cdot \cos(2 \cdot 1 + 0.3) \] \[ P(t) = 50 \cdot \cos(2.5) \cdot \cos(2.3) \approx 50 \cdot (-0.801) \cdot (-0.666) \approx 26.69 \]

The Instantaneous Power (P(t)) is approximately 26.69 watts.