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AExE01 · Chapter 1Basic Electrical & Electronics🏛️ Past Licensure QuestionID: 45e63bf3

An amplifier has a voltage gain of 100 V/V and a current gain of 1000 A/A. What is its power gain in dB?

Multiple Choice Options

The overall power gain of an amplifier is the product of voltage gain and current gain: $A_p = A_v \times A_i = 100 \times 1000 = 100,000 = 10^5$ .

In decibels (dB), power gain is: $A_{p(\text{dB})} = 10 \log_{10}(A_p) = 10 \log_{10}(10^5) = 10 \times 5 = 50\text{ dB}$ .

•

Option A (30 dB): Incorrect. Corresponds to

10^3 = 1000

power gain.

•

Option B (40 dB): Incorrect. Corresponds to

10^4 = 10,000

power gain.

•

Option C (50 dB): Correct.

10 \log_{10}(100 \times 1000) = 50\text{ dB}

•

Option D (100 dB): Incorrect. Would require an astronomical power gain of

10^{10}

Reference: Mock Test 06NEC Licensure Syllabus

Test your knowledge with timed mock exams, instant answer evaluation, and score tracking.

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AExE01 · Chapter 1Basic Electrical & Electronics🏛️ Past Licensure QuestionID: 45e63bf3

The overall power gain of an amplifier is the product of voltage gain and current gain: $A_p = A_v \times A_i = 100 \times 1000 = 100,000 = 10^5$ .

In decibels (dB), power gain is: $A_{p(\text{dB})} = 10 \log_{10}(A_p) = 10 \log_{10}(10^5) = 10 \times 5 = 50\text{ dB}$ .

•

Option A (30 dB): Incorrect. Corresponds to

10^3 = 1000

power gain.

•

Option B (40 dB): Incorrect. Corresponds to

10^4 = 10,000

power gain.

•

Option C (50 dB): Correct.

10 \log_{10}(100 \times 1000) = 50\text{ dB}

•

Option D (100 dB): Incorrect. Would require an astronomical power gain of

10^{10}

Reference: Mock Test 06NEC Licensure Syllabus

Test your knowledge with timed mock exams, instant answer evaluation, and score tracking.