If the output saturation voltage of the op-amp is ± 13V, determine Voutpp in inverting amplifier.
ACL = -40
ACL in dB = 32.0dB
RA = 500Ω
RC = 20KΩ
VIN = 0.5 Vpp
First, we need to calculate the maximum output voltage that the op-amp can produce before reaching the saturation limit:
Vsat = ±13V
Next, we need to calculate the gain of the inverting amplifier:
G = -RC/RA = -40
We can convert this to dB to find the voltage gain in decibels:
GdB = 20*log10(G) = 32.0dB
Now we can find the output voltage for a given input voltage:
Voutpp = Vin*G = 0.5*G = 0.5*(-40) = -20Vpp
However, this exceeds the op-amp's saturation limit, so the maximum output voltage will be limited to:
Voutpp_max = Vsat/G = 13/40 = 0.325Vpp
Therefore, the maximum output voltage of the inverting amplifier is 0.325Vpp.
Describe the output voltage.
The output voltage of the inverting amplifier will vary linearly with the input voltage, but with a negative gain (amplification factor) determined by the ratio of the feedback resistor (RF) to the input resistor (RIN). In this case, the gain is -40, so for a given input voltage amplitude, the output voltage amplitude will be 40 times smaller. However, in practical situations, the output voltage may be limited by the saturation voltage of the op-amp if the input signal is too large. In this case, the maximum output voltage is limited to ±13V.
To determine the peak-to-peak output voltage (Voutpp) of the inverting amplifier, we need to consider two scenarios: when the output is saturated at the positive limit and when it is saturated at the negative limit.
1. Positive Saturation:
In positive saturation, the output voltage (Vout) of the amplifier reaches its maximum positive value, which is +13V. To calculate this, we can use the formula:
Vout = -ACL * VIN
Rearranging the formula to solve for VIN:
VIN = Vout / (-ACL)
Substituting the given values:
VIN = 13V / (-40)
VIN = -0.325V
Assuming the input signal has a peak-to-peak voltage of 0.5V, we can determine the output peak-to-peak voltage as:
Voutpp = 2 * |Vout|
Voutpp = 2 * |-0.325|
Voutpp = 0.65V
2. Negative Saturation:
Similarly, when the output voltage reaches its maximum negative value, which is -13V, we can use the same formula to calculate VIN.
VIN = 13V / (-ACL)
VIN = -0.325V
Again, using the peak-to-peak formula:
Voutpp = 2 * |Vout|
Voutpp = 2 * |-0.325|
Voutpp = 0.65V
Conclusion:
In both positive and negative saturation scenarios, the peak-to-peak output voltage (Voutpp) of the inverting amplifier is 0.65V.