### Investigating the Effect of Common Mode Rejection Ratio on Howland Current Pump Output**Problem Statement:****5.17** Investigate the effect of using an op amp with a Common Mode Rejection Ratio (CMRR) of 100 dB on the output resistance of a Howland current pump made up of four perfectly matched 10-kΩ resistances. Except for CMRR, the op amp is considered ideal.---**Figure 5.7: Howland Current Pump Circuit**The diagram represents a Howland current pump circuit. Below is a detailed explanation of its components:- **Resistors:** - $ R_1 $ and $ R_2 $ are placed in series. - $ R_P $ (R subscript P) appears to be connected to the inverting input of the operational amplifier (op amp) and grounded at the other end.- **Currents:** - $ I_N $ is the current entering the circuit near $ R_1 $. - $ I_P $ is the current flowing through $ R_P $ and into the inverting input of the op amp.- **Operational Amplifier (Op Amp):** - The op amp shows traditional inverting and non-inverting inputs. - The inverting input is connected to $ R_2 $ while the non-inverting input is grounded. - The output $ V_O $ is taken from the output pin of the op amp.The CMRR value impacts how the input voltage discrepancies affect the output. In this scenario, the focus is on understanding how a CMRR of 100 dB would influence the output resistance in such a configuration, considering the op amp is otherwise ideal.---This analysis is relevant for discussing precision in analog circuits, especially when designing systems requiring accurate current sources.

Let us first discuss the howland current pump circuit. In this the output impedance can be affected…

5.17 Investigate the effect of using an op amp with CMRRdB = 100 dB on the output resis- tance of a Howland current pump made up of four perfectly matched 10-k$2 resistances. Except for CMRR, the op amp is ideal. R₁ IN↓ Ip4 M R₂ m

5.17 Investigate the effect of using an op amp with CMRRdB = 100 dB on the output resis- tance of a Howland current pump made up of four perfectly matched 10-k$2 resistances. Except for CMRR, the op amp is ideal. R₁ IN↓ Ip4 M R₂ m

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Related questions

Q: Vout -Vout -Vin -lav O5V Plot Vout vs Vin as Vin increases from ov-8V. Assume an i deal op-amp.

A: To plot the output waveform for an inverting comparator

Q: Consider the active circuit: a. Assuming it's an ideal op amp, derive the circuit’s transfer…

A: The question is based on filter circuits.

Q: Consider the active circuit with the schematic: a. Assuming it's an ideal op amp, derive the…

A: According to the question, for the circuit given below We need to find, a. Assuming it's an ideal…

Q: 40KA Vout use circuit analysis to find Vout and gain (AF). Confirm answers using the characteristic…

Q: Derive the transfer function for the non-inverting op-amp shown below. Use Step-by-Step in depth…

A: The given circuit is shown below.We need to derive the transfer function.

Q: A two-pole op amp has an open-loop gain of 100dB and its ﬁrst pole occurs at 100Hz. The op amp is to…

A: Calculating gain

Q: In an Inverting Op Amp, what formulas help you find Vin and Vout?

A: The objective of the question is to identify the formulas that can be used to calculate the input…

Q: Consider the active circuit with the schematic: a. Assuming it's an ideal op amp, derive the…

Q: Required information Problem 05.001 - DEPENDENT MULTI-PART PROBLEM - ASSIGN ALL PARTS The equivalent…

A: The given problem is from operational amplifier. The detailed solution is given in the next step

Q: An op amp has a gain of 100 dB at dc and a unity-gain frequency of 5 MHz. What is fB? Write the…

A: The actual value of gain (A) is given by: The relation between unity gain frequency (fT), gain of…

Q: Determine Rin Express your answer to three significant figures and include the appropriate units.…

A: For the given inverting amplifier circuit the value of input resistance for the given gain needs to…

Q: 6) Design an Inverting Amplifier Circuit with a gain of 15 using realistic resistor values, ± 18 V…

Q: You are given an op-amp with fr = 1 M Hz and told that the open-loop gain follows the standard 20…

A: Operational Amplifier: Operational amplifiers, or Op-amps, are one of the most basic components of…

Q: An opamp is having a differential gain Ad =4500 and a common mode gain Ac = 25. What will be value…

A: For an Op-amp, common mode rejection ratio (CMRR) is defined as the ratio of the magnitude of the…

Q: For the op amp circuit given below, the op amp has an open-loop gain of 80000, an input resistance…

A: Given data: open loop gain = 800000 input resistance = 9k ohm output resistance = 140 ohm

Q: Figure 6 (a) shows the circuit diagram for a differential amplifier. You may assume that M and M2…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: a. Assuming it's an ideal op amp, derive the circuit’s transfer function as a function of frequency,…

A: According to the question, for the circuit given below We need to find, a. Assuming it's an ideal…

Q: A single-pole op amp has an open-loop gain of 86dB and a unity-gain frequency of 5MHz . What is the…

A: Concept: The small signal amplifier is generally referred to as a voltage amplifier because they are…

Concept explainers

Differential amplifier

There are two amplifying stages with common degeneration in a differential amplifier.

Question

### Investigating the Effect of Common Mode Rejection Ratio on Howland Current Pump Output

**Problem Statement:**

**5.17** Investigate the effect of using an op amp with a Common Mode Rejection Ratio (CMRR) of 100 dB on the output resistance of a Howland current pump made up of four perfectly matched 10-kΩ resistances. Except for CMRR, the op amp is considered ideal.

---

**Figure 5.7: Howland Current Pump Circuit**

The diagram represents a Howland current pump circuit. Below is a detailed explanation of its components:

- **Resistors:**
- $ R_1 $ and $ R_2 $ are placed in series.
- $ R_P $ (R subscript P) appears to be connected to the inverting input of the operational amplifier (op amp) and grounded at the other end.

- **Currents:**
- $ I_N $ is the current entering the circuit near $ R_1 $.
- $ I_P $ is the current flowing through $ R_P $ and into the inverting input of the op amp.

- **Operational Amplifier (Op Amp):**
- The op amp shows traditional inverting and non-inverting inputs.
- The inverting input is connected to $ R_2 $ while the non-inverting input is grounded.
- The output $ V_O $ is taken from the output pin of the op amp.

The CMRR value impacts how the input voltage discrepancies affect the output. In this scenario, the focus is on understanding how a CMRR of 100 dB would influence the output resistance in such a configuration, considering the op amp is otherwise ideal.

---

This analysis is relevant for discussing precision in analog circuits, especially when designing systems requiring accurate current sources.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Howland current pump effect :

VIEW

Step 2: Effect of CMRR

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

I need the answer as soon as possible
OAP 2 ( (a) Design a circuit which provides a gain of -5 V/V for an input voltage source vs. You have an op-amp powered at VDD = +5 V and Vss = -5 V. Design your circuit such that 1 µA is drawn from the input vs when Vs = 200 mV. Include a drawing of the circuit and label all resistors that you use with their respective values. (b) What is the op-amp output voltage when vs = 200 mV? OAP 3 (a) Design a circuit that provides a gain of +10 V/V for an input signal vs. Use 100 kn as the smaller/smallest resistor value in your design. Include a drawing of the circuit and label all resistors that you use with their respective values. (b) Assume the op-amp is powered at VDD = +15 V and Vss = -15 V. At what positive and negative values of vs will the output vo be +/-15 V? (c) What will happen if the values of vs go beyond the values from (b)?
2. One of the earliest uses of operational amplifiers (OPAMPS) is to perform mathematical operations on analog signals. Of the two OPAMP circuits shown below, one of them is known as an analog differentiator while the other an analog integrator. Analyse these circuits to discover why by finding an equation for their output VOUT in terms of their time-varying input VIN(t). (You may assume the OPAMPS are ideal.) VIN(t) RF Circuit A ☑ RF VOUT VIN(t) Circuit B VOUT
Please answer in typing format please ASAP please
R, OV OUT + Complete the analysis showing that Vo/Vin = -Rf/Rin Let currents be defined as 1 equals the current flowing through Rin from left to right 12 equals the current flowing into the Opamp 13 equals the current flowing through the feedback resistor from left to right. Write the KCL equation in terms of 11, 12, and 13 at the inverting node of the Op-Amp. O There is no current flowing in the circuit O 12 = 11 + 13 O 11 = 12 + 13 11 + 12 = 13
= Make a inverting op amp to have a voltage gain of -5 with an R, 2 kn. You must ensure that the output does not exceed +12 V. a. Specify the value of Rf and the supply voltages +Vcc. Vs b. For this circuit, what is the range of the source voltage, vº, to ensure that the op amp remains linear? + Rs Rf +Vcc -Vcc + Vo