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Question no. 28690

Given Vout = 500 mV and Vin = 1.3 V, compute the voltage ratio Vout/Vin in decibels (dB)__________?

Select your answer for: Given Vout = 500 mV and Vin = 1.3 V, compute the voltage ratio Vout/Vin in decibels (dB)__________?
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Answer: C. -8.30 dB

Explanation

Voltage ratio in decibels is calculated as twenty times the common logarithm of output over input voltage. Dividing zero point five volts by one point three volts yields approximately zero point three eight four six. Taking the log and multiplying by twenty gives negative eight point thirty decibels of attenuation. The decibel is a logarithmic unit used to express the ratio of two electrical power or voltage levels. A negative decibel value indicates that the output signal voltage is smaller than the input voltage. Logarithmic scales simplify the calculation of cascaded amplifier gains and filter attenuations.

Audio and radio frequency engineers use decibels daily to measure amplifier attenuation and signal loss. Voltage attenuators are designed to reduce signal amplitudes accurately in electronic measurement instruments. Signal integrity analysis relies on decibel measurements to evaluate filter performance across frequencies. Option A suggests zero decibels, which would mean the output and input voltages are identical. Option B suggests positive eight point thirty decibels, ignoring the signal loss attenuation. Option D suggests zero point eight decibels, which results from an incorrect mathematical calculation.

Subject
Engineering
Topic
—
Difficulty
medium

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