Amplifier Gain Calculator

Calculate Amplifier Gain



Formula

The formula to calculate the Amplifier Gain (G) is:

\[ G = 10 \times \log_{10}\left(\frac{P_{out}}{P_{in}}\right) \]

Where:

Definitions

Example

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.

Extended information about "Amplifier-Gain-Calculator"

Gain of Amplifier Formula

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: \( \text{Gain} = \frac{10}{2} \)

Instrumentation Amplifier Gain Calculator

Definition: An instrumentation amplifier gain calculator determines the gain of an instrumentation amplifier.

Formula: \( \text{Gain} = 1 + \frac{2R_1}{R_{gain}} \)

Example: \( \text{Gain} = 1 + \frac{2 \times 10k\Omega}{5k\Omega} \)

Inverting Amplifier Gain Calculator

Definition: An inverting amplifier gain calculator determines the gain of an inverting amplifier.

Formula: \( \text{Gain} = -\frac{R_f}{R_{in}} \)

Example: \( \text{Gain} = -\frac{20k\Omega}{10k\Omega} \)

Differential Amplifier Gain Calculator

Definition: A differential amplifier gain calculator determines the gain of a differential amplifier.

Formula: \( \text{Gain} = \frac{R_f}{R_{in}} \)

Example: \( \text{Gain} = \frac{15k\Omega}{5k\Omega} \)

Difference Amplifier Gain Formula

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: \( \text{Gain} = \frac{25k\Omega}{10k\Omega} \)

Amplifier Voltage Gain Formula

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: \( \text{Voltage Gain} = \frac{12V}{3V} \)

Power Gain Formula of an Amplifier

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: \( \text{Power Gain} = \frac{50W}{5W} \)