
What is Average and RMS value?
Answer
527.4k+ views
Hint: For the sine wave, the average value is calculated approximately $0.637$of its peak value and the RMS stands for Root Mean Square which represents the way of expressing an AC quantity of the voltage or the current in the terms functionally equivalent to DC.
Complete step by step solution:
The RMS value can be defined as the effective value of the varying voltage or the current which is the equivalent steady DC which is the constant value which gives the same effect whereas the average value can be defined as all the instantaneous values of an alternating voltage and the currents over one complete cycle is called the average value.
In other words, the RMS value can be defined as the square root of the means of the squares of the instantaneous values.
The average value can be defined as –
Average value $ = {V_p} \times 0.707$
And RMS value $ = {V_p} \times 0.637$
Where ${V_p}$is the peak voltage.
Note: Always remember the difference between the average value and the RMS value. The RMS (root mean square) value is the square root of the mean that is the average value of the squared function of the instantaneous values. The average value over the complete cycle will be zero.
Additional Information: The RMS values help to find the effective value of the AC that is voltage or the current and often used to compare both the alternating and the direct currents or the voltages. The RMS values are always the positive.
Complete step by step solution:
The RMS value can be defined as the effective value of the varying voltage or the current which is the equivalent steady DC which is the constant value which gives the same effect whereas the average value can be defined as all the instantaneous values of an alternating voltage and the currents over one complete cycle is called the average value.
In other words, the RMS value can be defined as the square root of the means of the squares of the instantaneous values.
The average value can be defined as –
Average value $ = {V_p} \times 0.707$
And RMS value $ = {V_p} \times 0.637$
Where ${V_p}$is the peak voltage.
Note: Always remember the difference between the average value and the RMS value. The RMS (root mean square) value is the square root of the mean that is the average value of the squared function of the instantaneous values. The average value over the complete cycle will be zero.
Additional Information: The RMS values help to find the effective value of the AC that is voltage or the current and often used to compare both the alternating and the direct currents or the voltages. The RMS values are always the positive.
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