In the inverting amplifier circuit of Fig. 5-11, v₁(t) is the input and v₂(t) is the output. Let R_i = ∞, R_o = 0, and assume the 741 op amp model specified by Example 5.26.

(a) Find the circuit’s input-output relationship in the time domain.

(b) Let v₁ (t) = V cos 2πft produce an output v₂(t) = V₂ cos (2πft −θ). Develop an expression for magnitude gain |V₂/V₁|vs. frequency.

Data from Figure 5-11

Data from Example 5.26

At low frequencies the magnitude open-loop gain of a 741 op amp varies as

where typically a₀ = 200,000 and f₀ = 5 Hz.

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