Actually ,Vrms is the root mean square voltage
for example, consider voltages 5V,10V,2V
So Vrms is the root value of {[(5*5)+(10*10)+(2*2)]/3}
And Vpeak is 10V
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Approx. 280 VRMS. Vpeak * 0.707 = Vrms
RMS*SQRT(2)=V(peak)or115V*1.414= 162.63V(peak)Source: What_is_the_conversion_for_rms_voltage_to_peak_to_peak_voltage
The RMS value of an AC voltage is VRMS = VPEAK / sqrt(2), where VPEAK = the voltage peak to neutral.AnswerThe average value of a sinusoidal a.c. voltage is zero.
peak value =rms value*1.414 =220*1.414 =311v
RMS voltage is the DC equivalent of your AC waveform. Vrms=(Vpeak)/(root two) If your peak voltage is 170V then the RMS voltage would be approx. 120 V (see related link)
RMS is an average. If you have a 50% duty square wave, the average will be 1/2 the peak. for a 33.3% duty cycle, the average will be 1/3 the peak, etc. VRMS = Vpeak x duty cycle
Vrms = Vpp/squareroot(2)This can be written another way:Vrms * squareroot(2) = VppAnswerThe question asks for the relationship between the rms value of voltage, and the peak-to-peak value of voltage, not the peak value (Vmax) of voltage, so:Vp-p = 2 Vmax = 2(1.414) Vrms = 2.828 Vrms
Vrms=sqaure root(3kT/m)
Vrms=1.414xVpk to pk
AC means alternating current and DC means direct current. The amplitude of AC voltage and current varies with time. Traditional AC electricity used in homes in the United States is a 60 Hertz sine wave. This means that 60 cycles of a sine wave occur every 1 second. Since AC voltage varies with time, the amplitude at each instant is different. The voltage changes from 0 to +Vpeak to 0 to -Vpeak and so on. Since the amplitude is always changing, the voltage quoted for AC such as 120 Vac for US homes is an average known as the Root Mean Square (RMS). The general formula for determining the amplitude of the voltage at any given time is: Vinst = Vpeak x sin(t) where Vinst is the instantaneous voltage at time t, Vpeak is the peak voltage, and t is the time. The relationship between Vrms and Vpeak for a sine wave is given by the formula Vrms = Vpeak / square root (2), so Vrms = Vpeak x 0.707 DC electricity does not vary with time. The voltage and current are constant at all times.
Don't ask people online to do your HW for you. That being said:Power = Vrms^2/ResistanceVrms = Vpeak/(square root of 2)From there you can calculate the resistance.