Explanation Given data: Refer to Figure 16.112 in the textbook. The transfer function of the op amp circuit in the form, V o ( s ) V i ( s ) = a s s 2 + b s + c (1) Calculation: The given circuit is redrawn as shown in Figure 1. From Figure 1, the values of admittances in s -domain are, Y 1 = s ( 0.5 μ ) = 0.5 s × 10 − 6 { ∵ 1 μ = 10 − 6 } Y 2 = 1 10 k = 1 10 × 10 3 { ∵ 1 k = 10 3 } = 1 × 10 − 4 Y 3 = 1 10 k = 1 10 × 10 3 { ∵ 1 k = 10 3 } = 1 × 10 − 4 Y 4 = s ( 1 μ ) = s × 10 − 6 { ∵ 1 μ = 10 − 6 } According to the virtual ground concept, the voltage at the node of non-inverting terminal is equal to ground voltage (That is, 0 V). Therefore, the value of node voltage V 2 = 0 . Apply Kirchhoff’s current law at node V 1 for Figure 1. ( V 1 − V i ) Y 1 + ( V 1 − V o ) Y 3 + ( V 1 − V 2 ) Y 2 = 0 V 1 Y 1 − V i Y 1 + V 1 Y 3 − V o Y 3 + V 1 Y 2 − V 2 Y 2 = 0 V 1 ( Y 1 + Y 2 + Y 3 ) − V o Y 3 − V 2 Y 2 = V i Y 1 Substitute 0 for V 2 in above equation. V 1 ( Y 1 + Y 2 + Y 3 ) − V o Y 3 − ( 0 ) Y 2 = V i Y 1 V 1 ( Y 1 + Y 2 + Y 3 ) − V o Y 3 = V i Y 1 (2) Apply Kirchhoff’s current law at node V 2 for Figure 1. ( V 2 − V 1 ) Y 2 + ( V 2 − V o ) Y 4 = 0 ( 0 − V 1 ) Y 2 + ( 0 − V o ) Y 4 = 0 { ∵ V 2 = 0 } − V 1 Y 2 − V o Y 4 = 0 − V 1 Y 2 = V o Y 4 Simplify the above equation to find V 1 . V 1 = − Y 4 Y 2 V o Substitute − Y 4 Y 2 V o for V 1 in equation (2)

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Chapter 16, Problem 103CP

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Find the transfer function of the op amp circuit in the form Vo(s)Vi(s)=ass2+bs+c and also find the constants a, b, and c.

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Chapter 16, Problem 102P

Chapter 16, Problem 104CP

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Chapter 16 Solutions

EBK FUNDAMENTALS OF ELECTRIC CIRCUITS

Ch. 16.2 - Determine vo(t) in the circuit of Fig. 16.6,...Ch. 16.2 - Prob. 2PP Ch. 16.2 - Prob. 3PP Ch. 16.3 - For the circuit shown in Fig. 16.12 with the same...Ch. 16.3 - Prob. 5PP Ch. 16.3 - The initial energy in the circuit of Fig. 16.17 is...Ch. 16.4 - Prob. 7PP Ch. 16.4 - Prob. 8PP Ch. 16.4 - Prob. 9PP Ch. 16.5 - Obtain the state variable model for the circuit...

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Find the transfer function of the op amp circuit in the form V o ( s ) V i ( s ) = a s s 2 + b s + c and also find the constants a , b , and c .

Solution Summary: The author explains the transfer function of the op amp circuit and the constants a, b, and c.

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Find the transfer function of the op amp circuit in the form Vo(s)Vi(s)=ass2+bs+c and also find the constants a, b, and c.

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Chapter 16 Solutions