If the instantaneous maximum voltage is 135 V, what is the RMS value?

To find the root mean square (RMS) value from the instantaneous maximum voltage (also known as peak voltage), you use the formula for converting peak voltage to RMS voltage. For an alternating current (AC) waveform, the RMS value can be calculated using the equation:

[

V_{RMS} = \frac{V_{peak}}{\sqrt{2}}

]

In this case, the instantaneous maximum voltage given is 135 V. Applying the formula:

[

V_{RMS} = \frac{135 V}{\sqrt{2}}

]

Calculating this gives approximately:

[

V_{RMS} = \frac{135 V}{1.414} \approx 95.45 V

]

This shows that the RMS value of the voltage corresponding to an instantaneous maximum voltage of 135 V is indeed approximately 95.45 V. Therefore, the correct answer is 95.45 V, which is represented by the first option. This value represents the effective voltage that would produce the same amount of heat in a resistor as a direct current (DC) voltage of 95.45 V.