If output power increases by a factor of 4, how many decibels is this?

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Study for Edelmen's Sonography Principles and Instrumentation Exam. Prepare with flashcards and multiple choice questions, including hints and explanations for each question. Ace your SPI exam!

Multiple Choice

If output power increases by a factor of 4, how many decibels is this?

Explanation:
When you express a change in power in decibels, use dB = 10 log10(P2/P1). If the power increases by a factor of 4, P2/P1 = 4, so dB = 10 log10(4) = 10 × 0.60206 ≈ 6.02 dB. So the increase is about 6 dB. The other values correspond to different power ratios: 4 dB is a smaller factor, 12 dB is a much larger factor, and 2 dB corresponds to an even smaller factor. (If you were dealing with voltage or current rather than power, you’d use 20 log10 instead.)

When you express a change in power in decibels, use dB = 10 log10(P2/P1). If the power increases by a factor of 4, P2/P1 = 4, so dB = 10 log10(4) = 10 × 0.60206 ≈ 6.02 dB. So the increase is about 6 dB. The other values correspond to different power ratios: 4 dB is a smaller factor, 12 dB is a much larger factor, and 2 dB corresponds to an even smaller factor. (If you were dealing with voltage or current rather than power, you’d use 20 log10 instead.)

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