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

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## 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**

- 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 time (s). In this case, the time (s) is found to be 3.
- 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)