Enter the maximum current (amps), the angular frequency (rad/s), and the time (s) into the calculator to determine the Instantaneous Current.

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## Instantaneous Current Formula

The following formula is used to calculate the Instantaneous Current.

I(t) = Im * sin (w*t )

- Where I(t) is the Instantaneous Current (amps)
- Im is the maximum current (amps)
- w is the angular frequency (rad/s)
- t is the time (s)

To calculate the instantaneous current, multiply the max current by the sine of the product of the angular frequency and time.

## How to Calculate Instantaneous Current?

The following example problems outline how to calculate Instantaneous Current.

**Example Problem #1**

- First, determine the maximum current (amps). In this example, the maximum current (amps) is determined to be 40 .
- Next, determine the angular frequency (rad/s). For this problem, the angular frequency (rad/s) is measured to be 10 .
- Next, determine the time (s). In this case, the time (s) is found to be 5.
- Finally, calculate the Instantaneous Current using the formula above:

I(t) = Im * sin (w*t )

Inserting the values from above and solving yields:

I(t) = 40 * sin (10*5 ) = -10.494 (amps)

**Example Problem #2**

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

maximum current (amps) = 50

angular frequency (rad/s) = 6

time (s) = 3

Enter these given values into the calculator or above yields:

I(t) = 50 * sin (6*3 ) = -37.549** **(amps)