Question

What is the importance of the root mean square value of ac

Answer 1

Answer:

Unlike Direct Current or DC wherein you've the current just flowing in one direction through the circuit, Alternating current or AC is flowing in both directions periodically

Hence, for energy or heat consumption values and their further calculations are really difficult because you've current flowing through in both directions harmonically.

The advantage of finding root mean square value of this alternating current through one time period is that physically it signifies how much current would've flowed equivalently if there would have DC current flowing through the circuit or the appliance and not AC.

So, this also leads to better and easier Power or energy consumption calculations and hence rms values of a lot of physical quantities are very important both mathematically and physically for their significance.

Hope this helps you !