Gain Formula:
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Definition: Amplifier gain measures how much an amplifier increases the power of a signal, expressed in decibels (dB).
Purpose: It helps engineers design and analyze RF systems by quantifying signal amplification.
The calculator uses the formula:
Where:
Explanation: The logarithmic scale (decibels) allows expressing large power ratios in manageable numbers.
Details: Proper gain calculation ensures signal integrity, prevents over-amplification (distortion), and helps design multi-stage amplifier systems.
Tips: Enter both output and input power in Watts. Both values must be > 0. The result shows gain in decibels (dB).
Q1: What's a typical amplifier gain value?
A: Common RF amplifiers have gains between 10-30 dB, but this varies by application and amplifier type.
Q2: Can gain be negative?
A: Yes, negative gain means the output is less than input (attenuation rather than amplification).
Q3: Why use decibels instead of power ratio?
A: Decibels simplify calculations in multi-stage systems (gains add instead of multiply) and better match human perception.
Q4: How does this relate to voltage gain?
A: For voltage gain in dB: \( G = 20 \times \log_{10}(V_{out}/V_{in}) \). This calculator is for power gain.
Q5: What if I know gain and want to find output power?
A: Rearrange the formula: \( P_{out} = P_{in} \times 10^{(G/10)} \).