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Gain (electronics)

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In electronics, gain is a measure of how much a signal grows. It describes a two-port circuit's ability to increase signal amplitude or power. This process usually happens within an amplifier. An amplifier takes a signal at its input port and increases it at the output port. To do this, it must add energy. This energy is converted from an external power supply into the signal.

Amplification2
Amplification2

This ability to increase a signal is what makes a circuit an active device. In contrast, a passive circuit will always have a gain of less than one.

Gain can be measured in several different ways depending on the signal type. The term is often ambiguous because it can refer to different properties. Voltage gain is the ratio of the output voltage to the input voltage. Current gain is the ratio of the output current to the input current. Power gain is the ratio of the output electric power to the input power.

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Amplification2

In the world of audio and general purpose amplifiers, people usually mean voltage gain. However, in radio frequency amplifiers, the term usually refers to power gain. In some systems like sensors, the input and output might use different units entirely.

Mathematical units help engineers describe these ratios clearly. One common method is using a logarithmic scale called decibels, or dB. This is often called "dB gain." Another way to calculate these relationships is by using nepers. Nepers are calculated using a natural logarithm instead of a decimal logarithm.

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When the input and output levels are exactly the same, it is called unity gain. Unity gain is a gain factor of one. In logarithmic terms, unity gain is equal to zero dB. This means the signal has not been increased or decreased.

To calculate power gain in decibels, you use the ratio of output power to input power. Specifically, you take the logarithm of the output power divided by the input power. If you want to calculate voltage gain using decibels, you can use the 20 log rule. This rule works if the input impedance and output impedance are equal. Impedance is a measure of resistance in an AC circuit.

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Amplification2

A similar calculation exists for current gain. When calculating current gain in decibels, you use the ratio of output current to input current. Like the voltage rule, the 20 log rule for current gain assumes equal impedances.

Specific electronic components like the bipolar transistor have unique ways of defining gain. For these devices, gain usually refers to the forward current transfer ratio. This is sometimes called hFE or "beta." It is the static ratio of the output current (Ic) to the input current (Ib).

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Amplification2

Another measure is hfe, which is the small-signal current gain. This is the slope of a graph showing Ic against Ib at a specific point. These values are dimensionless because they are ratios of the same unit, such as amperes. However, other devices like the operational transconductance amplifier use SI units like siemens. This happens because their gain is a ratio of output current to input voltage.

It is important to remember that gain is not always a fixed number. The gain of an electronic device or circuit generally varies with the frequency of the signal. Frequency refers to how many times a signal repeats in a second. When engineers discuss gain, they usually refer to the gain within the passband. The passband is the intended operating frequency range for that specific piece of equipment.

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If a signal falls outside this range, the gain might change significantly.

We can see how these numbers work with a practical example. Imagine an amplifier has an input impedance of 50 ohms and a load of 50 ohms. If the input voltage is 1 volt and the output voltage is 10 volts, the voltage gain is 10. To find the power gain, you use the formula for power, which is voltage squared divided by resistance. In this specific case, the power gain would be 100.

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Amplification2

This shows how a small change in voltage can lead to a much larger change in power.

Gain is a fundamental concept that connects to many different areas of science and engineering. In antenna design, the term takes on a different meaning. Antenna gain is the ratio of radiation intensity from a directional antenna to the mean radiation intensity from a lossless antenna. This helps engineers understand how well an antenna directs its signal. Whether in radio, audio, or sensors, understanding gain is essential for controlling how energy moves through a system.

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