Convert the amplifier circuit of Fig. 5-11 into a noninverting configuration and assume the same conditions as specified in Example 5.27 with v₁(t) as the input, v₂(t) as the output, R_i = ∞, R_o = 0, k = 1 + R₂/R₁, and the op amp model specified by Example 5.26.

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

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

(c) Verify that the gain-bandwidth product of the noninverting amplifier circuit is the same as that of the op amp’s open-loop, a₀ f₀.

Data from Figure 5-11

Data from Example 5.27

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.

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

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

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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