The rms output in a circuit is 7.75 A. What is the maximum current?
7.75 * 1.414
If current = I sin wt
and
current = I R sin wt
then power = I^2 R sin^2 wt
average of sin^2 = (1/2)
so
average power = (1/2)I^2 R
= Irms^2 R
so I^2 = 2 Irms^2
and as we said to start
I = sqrt(2) Irms = 1.414 Irms
VOLTAGE = I R sin wt
To find the maximum current in a circuit given the root mean square (rms) output, you can make use of the relationship between the rms value and the maximum value in an alternating current (AC) circuit.
In an AC circuit, the maximum value is related to the rms value by the following equation:
Maximum value (Imax) = rms value (Irms) * √2
Using this equation, we can find the maximum current in the circuit:
Imax = 7.75 A * √2
Calculating this expression, we get:
Imax ≈ 10.95 A
Therefore, the maximum current in the circuit is approximately 10.95 A.