Instantaneous Voltage Calculator

Formula

The formula to calculate the Instantaneous Voltage (IV) is:

\[ IV = V_{max} \cdot \sin(w \cdot t) \]

Where:

\( IV \) is the Instantaneous Voltage (volts)
\( V_{max} \) is the Maximum Voltage (volts)
\( w \) is the Angular Frequency (rad/s)
\( t \) is the Time (seconds)

What is Instantaneous Voltage?

Instantaneous voltage is the voltage at any given moment in time in an AC circuit. It is calculated by multiplying the maximum voltage by the sine of the product of the angular frequency and time.

Example Calculation

Let's consider an example:

Maximum Voltage (Vmax): 10 volts
Angular Frequency (w): 50 rad/s
Time (t): 0.02 seconds

Using the formula to calculate the Instantaneous Voltage:

\[ IV = 10 \cdot \sin(50 \cdot 0.02) \approx 10 \cdot \sin(1) \approx 8.41 \text{ volts} \]

This means that the instantaneous voltage for this example is approximately 8.41 volts.