What is the RMS value of a sine wave with a peak amplitude of 340 volts?

Get ready for the FCC General Radiotelephone Operator License (GROL) exam. Study with flashcards and multiple choice questions, each with hints and detailed explanations. Prepare effectively for your licensing test!

Multiple Choice

What is the RMS value of a sine wave with a peak amplitude of 340 volts?

The RMS value measures the effective voltage that would produce the same heating effect as a DC voltage. For a sine wave, the RMS is the peak voltage divided by the square root of 2. So with a peak of 340 V, Vrms = 340 / sqrt(2) ≈ 240.3 V. That matches about 240 V, making it the correct choice. The other values don’t fit this relationship: 170 V is roughly half the peak, not the RMS for a sine wave; 120 V and 340 V are not the RMS value for a 340 V peak.

The RMS value measures the effective voltage that would produce the same heating effect as a DC voltage. For a sine wave, the RMS is the peak voltage divided by the square root of 2. So with a peak of 340 V, Vrms = 340 / sqrt(2) ≈ 240.3 V. That matches about 240 V, making it the correct choice. The other values don’t fit this relationship: 170 V is roughly half the peak, not the RMS for a sine wave; 120 V and 340 V are not the RMS value for a 340 V peak.

More practice questions