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Chapter 10 - B. Amplifier Frequency Response. Gain Bandwidth Product: Open loop. Gain Bandwidth Product: Open loop. Gain Bandwidth Product: A v to BW. Full BW. No Gain. Open loop A v. Open loop BW. Gain Bandwidth Product: BW to A v. Gain Bandwidth Product: BW vs. A v. f unity.
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Chapter 10 - B Amplifier Frequency Response
Gain Bandwidth Product: Av to BW Full BW No Gain Open loop Av Open loop BW
Gain Bandwidth Product: BW vs. Av funity 20 dB / dec Av_OL AV = 40 dB f0 is 2 decade below funity
Gain Bandwidth Product: Example Determine the open-loop BW and the closed-loop BW if R1 = 1 kW and R2 = 20 kW.
Gain Bandwidth Product: Example Determine the unity gain frequency for the following amplifier: BW = 50 kHz, R1 = 1 kW and R2 = 20 kW. Note: The above procedure can be used to estimate the unity gain frequency of an unknown op amp.
Small-Signal Rise-Time: Examples Estimate the BW and unity gain frequency for the following amplifiers.
Slew Rate • The GBW formulas are based on the small-signal ( < 1 Vp) assumption. • For larger signals the current limitation of the op amp can further reduce the BW. • Slew rate is the maximum rate of change of Vout. It has a unit of (V / ms). • Slew rate is the indication of how fast the output can track the change of the input. We can use slew rate to estimate the BW limitation due to large output signal swing.
Slew Rate: Example • An op amp with a slew rate of 0.5 V/ms will take ____________ ms to switch the output voltage from 0 V to 5 V. • An op amp can switch an output voltage from -2 V to +15 V in 25 mS.Its Slew rate = __________
Full-Power BW fmax • Full-Power BW fmax is the frequency at which the output can barely keep up with the change of the input. • fmax is proportional to the slew rate of the amplifier. • fmax is inversely proportional to the maximum peak voltage of the output signal. • When fmax is greater than the BW calculated from the GBW, we can ignore fmax. • We take the minimum of the two
Full-Power BW fmax • Full-Power BW fmax is the frequency at which the output can barely keep up with the change of the input. • fmax is proportional to the slew rate of the amplifier. • fmax is inversely proportional to the maximum peak voltage of the output signal. • When fmax is less than the BW calculated from the GBW, we can ignore fmax.
Full-Power BW fmaxExample For the following amplifier determine the full-power BW for a) Vp_max = 2 V and b) Vp_max = 0.5 V .
Summary • Different amps and op amps • Negative FB • Op amp circuits • Unity gain frequency and GBW • Small-Signal Rise-Time and BW relationship • Slew-rate • Full power BW