The formula to calculate the Amplifier Gain (G) is:
\[ G = 10 \times \log_{10}\left(\frac{P_{out}}{P_{in}}\right) \]
Where:
Let's say the output power (Pout) is 50 watts and the input power (Pin) is 5 watts. Using the formula:
\[ G = 10 \times \log_{10}\left(\frac{50}{5}\right) \]
We get:
\[ G \approx 10 \times \log_{10}(10) \approx 10 \times 1 = 10 \text{ dB} \]
So, the amplifier gain is approximately 10 dB.
Definition: The gain of an amplifier is the ratio of the output signal to the input signal.
Formula: \( \text{Gain} = \frac{V_{out}}{V_{in}} \)
Example: \( \text{Gain} = \frac{10}{2} \)
Definition: An instrumentation amplifier gain calculator determines the gain of an instrumentation amplifier.
Formula: \( \text{Gain} = 1 + \frac{2R_1}{R_{gain}} \)
Example: \( \text{Gain} = 1 + \frac{2 \times 10k\Omega}{5k\Omega} \)
Definition: An inverting amplifier gain calculator determines the gain of an inverting amplifier.
Formula: \( \text{Gain} = -\frac{R_f}{R_{in}} \)
Example: \( \text{Gain} = -\frac{20k\Omega}{10k\Omega} \)
Definition: A differential amplifier gain calculator determines the gain of a differential amplifier.
Formula: \( \text{Gain} = \frac{R_f}{R_{in}} \)
Example: \( \text{Gain} = \frac{15k\Omega}{5k\Omega} \)
Definition: The gain of a difference amplifier is the ratio of the difference in output voltage to the difference in input voltage.
Formula: \( \text{Gain} = \frac{R_f}{R_{in}} \)
Example: \( \text{Gain} = \frac{25k\Omega}{10k\Omega} \)
Definition: The voltage gain of an amplifier is the ratio of the output voltage to the input voltage.
Formula: \( \text{Voltage Gain} = \frac{V_{out}}{V_{in}} \)
Example: \( \text{Voltage Gain} = \frac{12V}{3V} \)
Definition: The power gain of an amplifier is the ratio of the output power to the input power.
Formula: \( \text{Power Gain} = \frac{P_{out}}{P_{in}} \)
Example: \( \text{Power Gain} = \frac{50W}{5W} \)
