Microelectronics: Circuit Analysis and Design
Microelectronics: Circuit Analysis and Design
4th Edition
ISBN: 9780073380643
Author: Donald A. Neamen
Publisher: McGraw-Hill Companies, The
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Textbook Question
Chapter 9, Problem 9.1EP

Design an ideal inverting op-amp circuit such that the voltage gain is A v = 25 . The maximum current in any resistor is to be limited to 10 μ A withthe input voltage in the range 25 v t + 25 m V . (a) What are the values of R 1 and R 2 ? (b) What is the range of output voltage v 0 ? (Ans. (a) R 1 = 2.5 k Ω , R 1 = 62.5 k Ω ;(b) 0.625 v 0 0.625 V )

(a)

Expert Solution
Check Mark
To determine

The value of the resistance R1 and R2 .

Answer to Problem 9.1EP

Thevalue of the resistance R1 is 62.5kΩ and the value of the resistance R2 is 62.5kΩ .

Explanation of Solution

Calculation:

The given diagram is shown in Figure 1

  Microelectronics: Circuit Analysis and Design, Chapter 9, Problem 9.1EP

The above op-amp is considered to be ideal.

The value of the voltage v2 is given by,

  v2=0

The expression for the input voltage is given by,

  v1=v2

Substitute 0 for v2 in the above equation.

  v1=0

Apply KCL at negative terminal.

  i1=vIv1R1

Substitute 0 for v1 in the above equation.

  i1=vI0R1=vIR1 ........ (1)

The expression for the value of the voltage gain is given by,

  Av=vOvI ........ (2)

The expression for the value of the current i1 is given by,

  i1=v1vOR2

Substitute 0 for v1 in the above equation.

  i1=0vOR2=vOR2

Substitute vOR2 for i1 in equation (1).

  vOR2=vIR1vOvI=R2R1

Substitute vOvI for Av in the above equation.

  Av=R2R1

Substitute 25mV for Av in the above equation.

  25mV=R2R125R1=R2

Substitute |25mV| for Av in equation (2).

  vOvI|25mV|vO|25mV( v I)|

Substitute 25mV for |vI| in the above equation.

  |vO||25mV(25mV)||vO|±625mV

The expression for the maximum value of the current is given by,

  |i1|max=10μA

The expression for the maximum current is given by,

  |i1|max=|i2|max

Substitute 10μA for |i1|max in the above equation.

  |i2|max=10μA

The expression for the minimum value of the resistance R1 is given by,

  R1,min=|vI|| i 1|max

Substitute 25mV for |vI| and 10μA for |i1|max in the above equation.

  R1,min=|25mV|10μA=62.5kΩ

The expression for the minimum value of the resistance R2 is given by,

  R2,min=R1,min

Substitute 62.5kΩ for R1,min in the above equation.

  R2,min=62.5kΩ

Conclusion:

Therefore, the value of the resistance R1 is 62.5kΩ and the value of the resistance R2 is 62.5kΩ .

(b)

Expert Solution
Check Mark
To determine

The value for the range of the output voltage vO .

Answer to Problem 9.1EP

The range of the output voltage is 625mV|vO|625mV .

Explanation of Solution

Calculation:

The expression for the variation of the output voltage is given by,

  |vO|±625mV

From above the variation of the voltage is given by,

  625mV|vO|625mV

Conclusion:

Therefore, the range of the output voltage is 625mV|vO|625mV .

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Chapter 9 Solutions

Microelectronics: Circuit Analysis and Design

Ch. 9 - The noninverting op-amp in Figure 9.15 has a...Ch. 9 - Use superposition to determine the output voltage...Ch. 9 - Consider the voltage-to-current converter shown in...Ch. 9 - Consider the difference amplifier in Figure...Ch. 9 - In the difference amplifier shown in Figure...Ch. 9 - For the instrumentation amplifier in Figure 9.26,...Ch. 9 - An integrator with input and output voltages that...Ch. 9 - A current source has an output impedance of...Ch. 9 - Design the voltage-to-current converter shown in...Ch. 9 - All parameters associated with the instrumentation...Ch. 9 - Design the instrumentation amplifier in Figure...Ch. 9 - An integrator is driven by the series of pulses...Ch. 9 - Consider the summing op-amp in Figure 9.40. Let...Ch. 9 - Consider the bridge circuit in Figure 9.46. The...Ch. 9 - The resistance R in the bridge circuit in Figure...Ch. 9 - Describe the ideal op-amp model and describe the...Ch. 9 - Prob. 2RQCh. 9 - Describe the operation and characteristics of the...Ch. 9 - What is the concept of virtual ground?Ch. 9 - What is the significance of a zero output...Ch. 9 - When a finite op-amp gain is taken into account,...Ch. 9 - Prob. 7RQCh. 9 - Describe the operation and characteristics of the...Ch. 9 - Describe the voltage follower. What are the...Ch. 9 - What is the input resistance of an ideal...Ch. 9 - Prob. 11RQCh. 9 - Describe the operation and characteristics of an...Ch. 9 - Describe the operation and characteristics of an...Ch. 9 - Describe the operation and characteristics of an...Ch. 9 - Assume an op-amp is ideal, except for having a...Ch. 9 - The op-amp in the circuit shown in Figure P9.2 is...Ch. 9 - An op-amp is in an open-loop configuration as...Ch. 9 - Consider the equivalent circuit of the op-amp...Ch. 9 - Consider the ideal inverting op-amp circuit shown...Ch. 9 - Assume the op-amps in Figure P9.6 are ideal. Find...Ch. 9 - Consider an ideal inverting op-amp with R2=100k...Ch. 9 - (a) Design an inverting op-amp circuit with a...Ch. 9 - Consider an ideal op-amp used in an inverting...Ch. 9 - Consider the inverting amplifier shown in Figure...Ch. 9 - (a) Design an inverting op-amp circuit with a...Ch. 9 - (a) Design an inverting op-amp circuit such that...Ch. 9 - (a) In an inverting op-amp circuit, the nominal...Ch. 9 - (a) The input to the circuit shown in Figure P9.14...Ch. 9 - Design an inverting amplifier to provide a nominal...Ch. 9 - The parameters of the two inverting op-amp...Ch. 9 - Design the cascade inverting op-amp circuit in...Ch. 9 - Design an amplifier system with three inverting...Ch. 9 - Consider the circuit shown in Figure P9.19. (a)...Ch. 9 - The inverting op-amp shown in Figure 9.9 has...Ch. 9 - (a)An op-amp with an open-loop gain of Aod=7103 is...Ch. 9 - (a) For the ideal inverting op-amp circuit with...Ch. 9 - An ideal inverting op-amp circuit is to be...Ch. 9 - For the op-amp circuit shown in Figure P9.25,...Ch. 9 - The inverting op-amp circuit in Figure 9.9 has...Ch. 9 - (a) Consider the op-amp circuit in Figure P9.27....Ch. 9 - The circuit in Figure P9.28 is similar to the...Ch. 9 - Consider the ideal inverting summing amplifier in...Ch. 9 - (a) Design an ideal inverting summing amplifier to...Ch. 9 - Design an ideal inverting summing amplifier to...Ch. 9 - Consider the summing amplifier in Figure 9.14 with...Ch. 9 - The parameters for the summing amplifier in Figure...Ch. 9 - (a) Design an ideal summing op-amp circuit to...Ch. 9 - An ideal three-input inverting summing amplifier...Ch. 9 - A summing amplifier can be used as a...Ch. 9 - Consider the circuit in Figure P9.38. (a) Derive...Ch. 9 - Consider the summing amplifier in Figure 9.14(a)....Ch. 9 - Consider the ideal noninverting op-amp circuit in...Ch. 9 - (a) Design an ideal noninverting op-amp circuit...Ch. 9 - Consider the noninverting amplifier in Figure...Ch. 9 - For the circuit in Figure P9.43, the input voltage...Ch. 9 - Determine vO as a function of vI1 and vI2 for the...Ch. 9 - Consider the ideal noninverting op-amp circuit in...Ch. 9 - (a) Derive the expression for the closed-loop...Ch. 9 - The circuit shown in Figure P9.47 can be used as a...Ch. 9 - (a) Determine the closed-loop voltage gain...Ch. 9 - For the amplifier in Figure P9.49, determine (a)...Ch. 9 - Consider the voltage-follower circuit in Figure...Ch. 9 - (a) Consider the ideal op-amp circuit shown in...Ch. 9 - (a) Assume the op-amp in the circuit in Figure...Ch. 9 - Prob. 9.53PCh. 9 - A current-to-voltage converter is shown in Figure...Ch. 9 - Figure P9.55 shows a phototransistor that converts...Ch. 9 - The circuit in Figure P9.56 is an analog voltmeter...Ch. 9 - Consider the voltage-to-current converter in...Ch. 9 - The circuit in Figure P9.58 is used to drive an...Ch. 9 - Figure P9.59 is used to calculate the resistance...Ch. 9 - Consider the op-amp difference amplifier in Figure...Ch. 9 - Consider the differential amplifier shown in...Ch. 9 - Consider the differential amplifier shown in...Ch. 9 - Let R=10k in the differential amplifier in Figure...Ch. 9 - Consider the circuit shown in Figure P9.64. (a)...Ch. 9 - The circuit in Figure P9.65 is a representation of...Ch. 9 - Consider the adjustable gain difference amplifier...Ch. 9 - Assume the instrumentation amplifier in Figure...Ch. 9 - Consider the circuit in Figure P9.68. Assume ideal...Ch. 9 - Consider the circuit in Figure P969. Assume ideal...Ch. 9 - The instrumentation amplifier in Figure 9.26 has...Ch. 9 - Design the instrumentation amplifier in Figure...Ch. 9 - All parameters associated with the instrumentation...Ch. 9 - The parameters in the integrator circuit shown in...Ch. 9 - Consider the ideal op-amp integrator. Assume the...Ch. 9 - The circuit in Figure P9.75 is a first-order...Ch. 9 - (a) Using the results of Problem 9.75, design the...Ch. 9 - The circuit shown in Figure P9.77 is a first-order...Ch. 9 - (a) Using the results of Problem 9.77, design the...Ch. 9 - Prob. 9.79PCh. 9 - Consider the circuit in Figure 9.35. 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