A single phase half bridge inverter has a dc voltage source Vs/2 = 115 V. Find the rms value of the fundamental component of output voltage.

To find the RMS value of the fundamental component of the output voltage for a single-phase half-bridge inverter with a DC voltage source of Vs/2 = 115 V, you can use the formula for the RMS value of the fundamental output voltage, which is given by:

[

V_{rms} = frac{V_{m}}{sqrt{2}}

]

For a half-bridge inverter, the peak output voltage (Vm) is equal to the DC voltage source (Vs/2) multiplied by 2, since it can effectively utilize both polarities of the DC input. Therefore:

[

V_{m} = Vs = 2 times 115,V = 230,V

]

Now, substituting this into the RMS formula:

[

V_{rms} = frac{230,V}{sqrt{2}} approx frac{230}{1.414} approx 162.63,V

]

Thus, the RMS value of the fundamental component of the output voltage is approximately 162.63 V.