Answer :
To calculate the root mean square (RMS) voltage of an alternating current (AC), you need to multiply the maximum (or peak) voltage value by a specific multiplier. This multiplier is a constant derived from mathematical calculations used to convert peak voltage to RMS voltage, which represents the effective value of AC voltage.
The correct multiplier to use when calculating the RMS voltage of an AC from the peak voltage is 0.707. This value can be understood as the division of the peak voltage by the square root of 2. The RMS voltage is a way to express the AC voltage in terms of its ability to perform work, similar to a direct current (DC) voltage of the same value.
Therefore, if you have a maximum voltage and want to find out its RMS value, you simply multiply that maximum voltage by 0.707. This gives you an effective voltage value that would deliver the same power to a load as a DC voltage of the same amount.
In summary, to find the RMS voltage from the peak voltage of an AC, multiply the peak voltage by 0.707.
The correct multiplier to use when calculating the RMS voltage of an AC from the peak voltage is 0.707. This value can be understood as the division of the peak voltage by the square root of 2. The RMS voltage is a way to express the AC voltage in terms of its ability to perform work, similar to a direct current (DC) voltage of the same value.
Therefore, if you have a maximum voltage and want to find out its RMS value, you simply multiply that maximum voltage by 0.707. This gives you an effective voltage value that would deliver the same power to a load as a DC voltage of the same amount.
In summary, to find the RMS voltage from the peak voltage of an AC, multiply the peak voltage by 0.707.
