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

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## 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**

- First, determine the maximum voltage (volts). In this example, the maximum voltage (volts) is determined to be 100 .
- Next, determine the angular frequency (rad/s). For this problem, the angular frequency (rad/s) is measured to be 4 .
- Next, determine the total time (seconds). In this case, the total time (seconds) is found to be 3.
- 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)