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) 

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)