Question

In the Metering window, read the ims value of output voltage (V0) (Meter E1 ac) and record it in TABLE 3 .

peak voltage (% of DC bus) V0(rms)[V]
0 1.60
10 7.80
20 9.90
30 13.50
40 16.50
50 18.41
60 20.31
70 20.89
80 22.69
90 22.69
100 22.93
110 23.10
117 23.87

According to the data recorded in Table 3 , what is the relationship between Peak Voltage (% of DC bus) and output ms voltage?

Answer 1

The relationship between Peak Voltage (% of DC bus) and output rms voltage is directly proportional, where an increase in peak voltage causes an increase in rms voltage, consistent with the formula Vrms = Vo/√2.

Step-by-step explanation:

According to the data recorded in Table 3, the relationship between Peak Voltage (% of DC bus) and output rms voltage can be analyzed by applying the formula for root mean square (rms) voltage in an AC system, which is Vrms = Vo/√2, where Vo is the peak voltage. By examining the data, one should see that as the Peak Voltage (% of DC bus) increases, the Vrms also increases. This is consistent with the root mean square relationship where Vrms is proportional to Vo, and as Vo increases, so does Vrms.

Furthermore, the AC version of Ohm's law, Irms = Vrms/Z, shows that rms values are used instead of peak values in practical applications like household electricity and appliance ratings. The rms voltage is considered the equivalent DC values for a simple resistive circuit, which further explains the use of Vrms in electrical devices.