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) 

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)