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Calculadora de Ganancia de Amplificador Operacional

Calcula la ganancia de amplificadores operacionales en configuración inversora y no inversora.

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Fórmula

A_v^{non-inv} = 1 + \frac{R_f}{R_{in}}, \quad A_v^{inv} = -\frac{R_f}{R_{in}}, \quad f_{-3dB} = \frac{GBW}{|A_v|}

Referencia: Horowitz & Hill, The Art of Electronics, 3rd ed.

AvVoltage gain (V/V)
RfFeedback resistor (R1) (kΩ)
RinInput resistor (R2) (kΩ)
GBWGain-bandwidth product (Hz)
f₋₃dB−3 dB bandwidth (Hz)
ZinInput impedance (Ω)

Cómo Funciona

Operational amplifiers (op-amps) are fundamental building blocks in analog electronics, providing voltage amplification, signal conditioning, and mathematical operations. The gain of an op-amp circuit depends on its configuration and feedback network. In a non-inverting configuration, the input signal is applied to the positive terminal, with negative feedback controlling gain. The gain equation G=1+Rf/Rin reflects how the feedback resistor (Rf) and input resistor (Rin) determine amplification. The inverting configuration applies the input to the negative terminal, creating a 180-degree phase shift in the output. Here, the gain is determined by the ratio -Rf/Rin, with the negative sign indicating phase inversion. Bandwidth is a critical parameter, characterized by the gain-bandwidth product (GBW), which represents the maximum frequency at which the amplifier can maintain a specific gain level. The -3dB frequency (f-3dB) is calculated by dividing the GBW by the absolute gain magnitude, providing insight into the amplifier's frequency response limitations.

Ejemplo Resuelto

Consider an LM358 op-amp in a non-inverting configuration with Rf = 10 kΩ and Rin = 2.2 kΩ. The gain calculation would be G = 1 + (10,000 Ω / 2,200 Ω) = 5.55. This means the input signal will be amplified by a factor of 5.55. If the op-amp has a gain-bandwidth product of 1 MHz, the -3dB frequency would be calculated as 1 MHz / |5.55| ≈ 180 kHz. At this point, the amplifier's output will have dropped by 3 decibels from its nominal gain, indicating the circuit's practical bandwidth limitation.

Consejos Prácticos

  • Use decoupling capacitors close to the op-amp power pins to reduce noise
  • Select op-amps with gain-bandwidth product well above your design requirements
  • Consider input impedance requirements to prevent loading effects

Errores Comunes

  • Neglecting the op-amp's real-world limitations like slew rate and input offset voltage
  • Assuming infinite bandwidth regardless of gain setting
  • Improper PCB layout leading to parasitic capacitance and reduced performance

Preguntas Frecuentes

What is the difference between inverting and non-inverting amplifier configurations?

In a non-inverting configuration, the input signal is applied to the positive terminal and the output is in-phase with the input. In an inverting configuration, the input is applied to the negative terminal, causing a 180-degree phase shift.

How does feedback affect op-amp gain?

Feedback resistors determine the gain by creating a ratio that controls the amplification factor. The specific arrangement of these resistors defines the circuit's gain characteristics.

What limits op-amp bandwidth?

The gain-bandwidth product (GBW) is the primary limitation, which represents the maximum frequency at which the amplifier can maintain a specific gain level.

Can an op-amp amplify DC signals?

Most op-amps can amplify DC signals, but practical considerations like input offset and drift must be considered for high-precision DC applications.

How do I choose the right op-amp for my design?

Consider parameters like gain-bandwidth product, slew rate, input impedance, power consumption, and operating voltage range when selecting an op-amp.

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