Enter the maximum voltage (volts), the angular frequency (rad/s), and the time (s) into the calculator to determine the Instantaneous Voltage. 

Instantaneous Voltage Formula

The following formula is used to calculate the Instantaneous Voltage.

IV = Vmax * Sin (w*t)
  • Where IV is the Instantaneous Voltage (volts)
  • Vmax is the maximum voltage (volts) 
  • w is the angular frequency (rad/s) 
  • t is the time (s) 

To calculate instantaneous voltage, multiply the max voltage by the sine of the angular frequency times the time.

How to Calculate Instantaneous Voltage?

The following example problems outline how to calculate the Instantaneous Voltage.

Example Problem #1

  1. First, determine the maximum voltage (volts). In this example, the maximum voltage (volts) is determined to be 100 .
  2. Next, determine the angular frequency (rad/s). For this problem, the angular frequency (rad/s) is measured to be 4 .
  3. Next, determine the time (s). In this case, the time (s) is found to be 3.
  4. Finally, calculate the Instantaneous Voltage using the formula above: 

IV = Vmax * Sin (w*t)

Inserting the values from above into the equation gives: 

IV = 100* Sin (3*4) = -53.65 (volts)

Example Problem #2

Using the same method as above, determine the variables required by the equation. For this example problem, these are provided as follows: 

maximum voltage (volts) = 200

angular frequency (rad/s) = 5

time (s) = 6

Entering these given values into the calculator above yields:

IV = 200 * Sin (5*6) = -197.606 (volts)