Final answer:
The RMS value of the given AC current is √2 A.
Step-by-step explanation:
The AC current flowing through a conductor is given by the equation i(t) = 2cos(377t). To find the RMS value of this AC current, we need to calculate the square root of the average of the squares of the current values over a complete cycle.
The current waveform can be represented by i(t) = Im sin(wt), where Im is the maximum current value and w is the angular frequency in radians per second. In this case, Im = 2 and w = 377.
The RMS value of the current can be calculated using the formula Irms = Im/√2. Substituting the values, we get Irms = 2/√2 = √2 A