The mean and rms value of an alternating volt | vedclass

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Question

${{\rm{V}}_{mean}} = \frac{{\int_0^{{\rm{T}}/2} {{{\rm{V}}_0}} {\rm{dt}}}}{{\int_0^{{\rm{T}}/2} {dt} }} = {{\rm{V}}_0},{{\rm{V}}_{{\rm{rms}}}} = \sqrt

Vedclass · Accepted Answer

$V_0, V_0$

Vedclass · Answer

${{\rm{V}}_{mean}} = \frac{{\int_0^{{\rm{T}}/2} {{{\rm{V}}_0}} {\rm{dt}}}}{{\int_0^{{\rm{T}}/2} {dt} }} = {{\rm{V}}_0},{{\rm{V}}_{{\rm{rms}}}} = \sqrt {\frac{{\int_0^{\rm{T}} {{\rm{V}}_0^2} {\rm{dt}}}}{{\int_0^{\rm{T}} {dt} }}}  = {{\rm{V}}_0}$

The mean and $rms$ value of an alternating voltage for half cycle as shown in figure are respectively:-

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