A sinusoidally varying alternating voltage is given by, 𝑣(𝑡) = 𝑉𝑚𝑠𝑖𝑛𝜔𝑡, to obtain its RMS value of voltage in terms of maximum value.

1.B] A sinusoidally varying alternating voltage is given by, 𝑣(𝑡) = 𝑉_𝑚𝑠𝑖𝑛𝜔𝑡, to obtain its RMS value of voltage in terms of maximum value.

Answer:-

RMS Value of an Alternating Voltage

Consider sinusoidal varying current and square the current. Consider a half cycle of
alternating quantity and instant ‘dθ’
Average value of square of the current over half cycle