What is the peak value of an AC voltage whose RMS value is 300 V?

What is the peak value of an AC voltage whose RMS value is 300 V?

• A. 141.4 V
• B. 212.1 V
• C. 300 V
• D. 424.2 V

Answer: (D)

For a sinusoidal AC voltage, the RMS value is related to the peak value by Vrms = Vpeak / √2. To get the peak, multiply the RMS by √2: Vpeak = 300 × √2 ≈ 300 × 1.4142 ≈ 424.2 V. So the peak value is about 424.2 volts. The other numbers come from mixing up peak and RMS or misapplying the relationship (e.g., dividing by √2 or treating peak and RMS as the same).

For a sinusoidal AC voltage, the RMS value is related to the peak value by Vrms = Vpeak / √2. To get the peak, multiply the RMS by √2: Vpeak = 300 × √2 ≈ 300 × 1.4142 ≈ 424.2 V. So the peak value is about 424.2 volts. The other numbers come from mixing up peak and RMS or misapplying the relationship (e.g., dividing by √2 or treating peak and RMS as the same).