In an ac circuit, peak value of voltage is 423 volts. Its effective vo...
Peak Value of Voltage in an AC Circuit
The peak value of voltage in an AC circuit refers to the maximum value of voltage attained during one complete cycle of the alternating current. It is denoted as Vp.
Given that the peak value of voltage is 423 volts, we need to determine the effective voltage.
Effective Voltage in an AC Circuit
The effective voltage, also known as the root mean square (RMS) voltage, is a measure of the voltage that produces the same power as an equivalent DC voltage. It is denoted as Vrms.
The effective voltage in an AC circuit can be calculated using the formula:
Vrms = Vp / √2
where Vp is the peak value of voltage.
Calculating the Effective Voltage
Substituting the given value of Vp = 423 volts into the formula, we can calculate the effective voltage as follows:
Vrms = 423 / √2
Vrms ≈ 423 / 1.414
Vrms ≈ 299.4 volts
Therefore, the effective voltage in the AC circuit is approximately 299.4 volts.
Conclusion
In this given AC circuit, the peak value of voltage is 423 volts, while the effective voltage is approximately 299.4 volts. Hence, the correct answer is option C) 300 volts, as it is the closest value to the calculated effective voltage.