rms value

Discussion in 'Homework Help' started by bhuvanesh, Feb 23, 2015.

  1. bhuvanesh

    Thread Starter Member

    Aug 10, 2013
    268
    2
    i have learned what is rms value just before . its has been stated like"power dissipated with rms voltage is same power dissipated by equivalent dc voltage".i understand this point. Later question arose to me why we need rms value of signal and i accommodate myself that is to make analyses simple.

    But i want strong answer why we are interested in Rms value.?
     
  2. Papabravo

    Expert

    Feb 24, 2006
    10,142
    1,790
    Because the average value of zero is not useful in calculations.
     
    bhuvanesh likes this.
  3. bhuvanesh

    Thread Starter Member

    Aug 10, 2013
    268
    2
    what is the use of rms value
     
  4. MrChips

    Moderator

    Oct 2, 2009
    12,440
    3,361
    Because it allows you to compare the average power of signal A with that of signal B.
     
    bhuvanesh likes this.
  5. WBahn

    Moderator

    Mar 31, 2012
    17,743
    4,795
    Because we are often interested in the power associated with a signal and rms is directly related to the power associated with a signal.
     
    bhuvanesh likes this.
  6. bhuvanesh

    Thread Starter Member

    Aug 10, 2013
    268
    2
    yes i agree we always interested in power and doesn't energy provide any usefull information?

    i cant imagine clearly how its could you say how its related briefly?
     
  7. Papabravo

    Expert

    Feb 24, 2006
    10,142
    1,790
    I assume you know how voltage, current, and power are related for a DC circuit. For an AC circuit, with a resistive load, they are related in exactly the same way, if and only if, you use RMS voltage and RMS current. Any other choices of values for voltage and current give results that are inconsistent with reality. The way we can be certain of this is by having a resistive heater warm up a quantity of water. A given DC voltage and DC current give a rise of say 10°C. The numerically identical RMS voltage and RMS current give the very same temperature rise as the DC example.

    Two things which produce the same result must be equivalent.
     
    bhuvanesh likes this.
  8. WBahn

    Moderator

    Mar 31, 2012
    17,743
    4,795
    It is related by definition.

    The effective voltage (or current) of a waveform is that value that, if delivered by a constant voltage (or current) source would deliver the same average power to a purely resistive load.

    If you use that definition, you then find that the effective voltage (or current) is equal to the square root of the mean of the voltage (or current) squared, hence the name RMS.
     
    bhuvanesh likes this.
  9. bhuvanesh

    Thread Starter Member

    Aug 10, 2013
    268
    2
    what we do with rms value if suppose the load is capacitance?
     
  10. WBahn

    Moderator

    Mar 31, 2012
    17,743
    4,795
    Use it to find rms current in the circuit at that point.

    Use it to find the reactive power associated with the capacitance.

    Use it to find the rms voltages at other points in the circuit.

    And on and on.
     
    bhuvanesh likes this.
Loading...