If the transistor amplifier has a gain of 20dB, then the ratio of outp...
Explanation:
To understand the given question, we first need to understand the concept of gain and the decibel scale.
Gain:
Gain is a measure of the amplification provided by an amplifier. It represents the ratio of output signal amplitude to the input signal amplitude. In this case, the gain is given as 20dB.
Decibel Scale:
The decibel (dB) is a logarithmic unit used to express the ratio of two values. In the case of power, the decibel formula is given by:
dB = 10 * log10(P2/P1)
Where P2 is the power at the output and P1 is the power at the input.
Calculating the ratio:
To find the ratio of output to input power, we can use the formula mentioned above:
20dB = 10 * log10(P2/P1)
Dividing both sides of the equation by 10:
2 = log10(P2/P1)
Using the property of logarithms, we can rewrite the equation as:
10^2 = P2/P1
Simplifying the equation:
100 = P2/P1
Therefore, the ratio of output power to input power is 100.
Summary:
- Gain is a measure of amplification provided by an amplifier.
- The decibel (dB) scale is a logarithmic unit used to express the ratio of two values.
- The given gain of 20dB can be converted into a power ratio using the decibel formula.
- By solving the equation, we find that the ratio of output to input power is 100.