Calculation of RMS Value of Saw Toothed AC
To calculate the RMS value of a saw toothed AC of peak voltage 60 volts, we need to follow the below steps:
Step 1: Calculate the Average Voltage
The average voltage of a saw toothed AC can be calculated by dividing the peak voltage by 2. In this case, the peak voltage is 60 volts, so the average voltage will be:
Average Voltage = Peak Voltage / 2 = 60 / 2 = 30 volts
Step 2: Calculate the RMS Voltage
Once we have calculated the average voltage, the RMS voltage can be calculated by using the following formula:
RMS Voltage = Average Voltage / √3
In this case, the average voltage is 30 volts, so the RMS voltage will be:
RMS Voltage = 30 / √3 = 17.32 volts
Step 3: Interpretation of Result
The RMS value of the saw toothed AC is 17.32 volts. This value indicates the equivalent DC voltage that would produce the same amount of heat in a resistor as the AC voltage would.
Therefore, if a resistor is connected to this saw toothed AC, it would generate the same amount of heat as it would with a DC voltage of 17.32 volts.