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

Sine Wave Voltage Formula

The following formula is used to calculate the Sine Wave Voltage.

Vsine = V * sin ( w * dt)
  • Where Vsine is the Sine Wave Voltage (volts)
  • V is the maximum voltage (volts) 
  • w is the angular frequency (rad/s) 
  • dt is the total time (seconds) 

To calculate the sine wave voltage, multiply the maximum voltage by the sine of the product of the angular frequency and time.

How to Calculate Sine Wave Voltage?

The following example problems outline how to calculate Sine Wave 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 total time (seconds). In this case, the total time (seconds) is found to be 3.
  4. Finally, calculate the Sine Wave Voltage using the formula above: 

Vsine = V * sin ( w * dt)

Inserting the values from above and solving yields: 

Vsine = 100 * sin ( 4* 3) = -53.65 (volts)

Example Problem #2

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

maximum voltage (volts) = 100

angular frequency (rad/s) = 2

total time (seconds) = 1

Enter these given values into the calculator or above yields: 

Vsine = 100 * sin ( 2 * 1) = 90.92 (volts)