The maximum current in an AC circuit is 3.0 Amperes. What is the rms value of the current in the AC circuit?

...Thanks!

To find the rms value of the current in an AC circuit, we first need to understand what rms means. RMS stands for Root Mean Square, which is a way to calculate the effective or average value of an AC signal.

The formula to calculate the rms value for an AC current is:

Irms = Ipeak / √2

where Irms is the rms value of the current, and Ipeak is the maximum current.

In this case, the maximum current in the AC circuit is given as 3.0 Amperes. So, substituting this value into the formula, we get:

Irms = 3.0 A / √2

To find the numerical value of this expression, simply divide 3.0 by the square root of 2:

Irms ≈ 3.0 A / 1.414 ≈ 2.121 A

So, the rms value of the current in the AC circuit is approximately 2.121 Amperes.