Why we consider the RMS value of the current and voltage?

In everyday use, AC voltages (and currents) are always given as RMS values because this allows a sensible comparison to be made with steady DC voltages (and currents), such as from a battery. For example, a 6V AC supply means 6V RMS with the peak voltage about 8.6V.

Why do we take rms value?

Attempts to find an average value of AC would directly provide you the answer zero… Hence, RMS values are used. They help to find the effective value of AC (voltage or current). This RMS is a mathematical quantity (used in many math fields) used to compare both alternating and direct currents (or voltage).

What are the rms value of current and voltage?

RMS or root mean square current/voltage of the alternating current/voltage represents the d.c. current/voltage that dissipates the same amount of power as the average power dissipated by the alternating current/voltage. For sinusoidal oscillations, the RMS value equals peak value divided by the square root of 2.

What is meant by RMS value of current?

Root mean square or R.M.S. value of Alternating current is defined as that value of steady current, which would generate the same amount of heat in a given resistance is given time, as is done by A.C. current , when maintained across the same resistance for the same time.

Why is it important to understand the reason we use the rms current and voltage here instead of just an average Also what does rms mean and how it is determined?

If we take the direct mean or average value of ac current is zero. Hence the rms value are used. It give the effective value of ac. The rms value helps us to compare the both current dc as well as ac.

How will you define rms value of an alternating current?

How do you find rms value?

Square each value, add up the squares (which are all positive) and divide by the number of samples to find the average square or mean square. Then take the square root of that. This is the root mean square (rms) average value.