Chapter 25, Problem 34A

To determine

To Explain: The effective or RMS value of AC current less than the maximum value.

Explanation of Solution

Introduction:

Effective value of an AC current is also known as the root mean square value of the current which is $0.707$ times the maximum value. RMS value is the effective value of the AC current which produces the same average power as a DC current.

In an AC current, the value of the current is given by $I=I_o\sin (2ft)$ , which keeps changing as it is a function of sine, and hence the instantaneous power of the delivered by the current is changing. Therefore, to get the effective value of the current one takes the root mean square of the current function, which is $0.707$ times the maximum value.

Conclusion:

To get the effective value of the current onetakes the root mean square of the current function, which is $0.707$ times the maximum value.