/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 55 In instrumenting a physics exper... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Problem 55

In instrumenting a physics experiment, we need to record the open-circuit voltage of a certain sensor. The voltage needs to be amplified by a factor of 1000 and applied to a variable load resistance. What type of ideal amplifier is needed? Justify your answer.

Short Answer

Expert verified
An ideal voltage amplifier is needed to achieve a high voltage gain of 1000 and drive a variable load efficiently.

Step by step solution

01

Understand Amplification Requirement

We need an amplifier that increases the voltage by a factor of 1000. This means the amplifier should have a high voltage gain, which is a measure of how much the amplifier boosts the input voltage. Voltage gain, in simple terms, is calculated as the ratio of output voltage to input voltage.
02

Determine Appropriate Amplifier Type

There are different types of amplifiers, such as voltage amplifiers, current amplifiers, transconductance amplifiers, and transresistance amplifiers. To increase voltage by a certain factor, a voltage amplifier is typically used, as it delivers a high voltage gain necessary to boost the open-circuit voltage.
03

Consider Load Independence

The amplifier should work effectively with a variable load resistance. An ideal voltage amplifier has a high input impedance that does not load the source and a low output impedance to drive the varying load efficiently without affecting the gain.
04

Finalize Amplifier Choice

Given that we need to amplify the voltage significantly and apply it to a variable load, an ideal voltage amplifier is best suited. It will provide the necessary high voltage gain while managing the variations in load resistance, ensuring stable performance.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Voltage Amplifier
A voltage amplifier is an essential component in electronic circuits, primarily tasked with increasing the voltage level of a signal. In simple terms, a voltage amplifier takes a small input voltage and scales it up to a larger output voltage, which is critical when dealing with weak sensor signals that need to be more pronounced.
Voltage amplifiers are characterized by their high input impedance and low output impedance.
  • High input impedance ensures that the amplifier does not load down the input source, preserving the accuracy of the measured signal.
  • Low output impedance allows the amplifier to drive the load effectively without significant losses in voltage gain.
These features make voltage amplifiers particularly suitable for use in applications like instrumenting physics experiments, where precise voltage levels from sensors must be adequately amplified without distortion.
Voltage Gain
Voltage gain is a critical factor in understanding how amplifiers affect a signal. Simply put, the voltage gain of an amplifier is the ratio of the output voltage to the input voltage. Mathematically, it is expressed as:\[Voltage Gain (A_v) = \frac{V_{out}}{V_{in}}\]A voltage amplifier with a gain of 1000, as required in the exercise, will produce an output voltage that is 1000 times the input voltage. This characteristic is crucial in settings where recording and analyzing small signals are necessary, such as in scientific experiments.
  • High voltage gain enables effective recording of sensor output by significantly boosting low-voltage signals.
  • It's important for the amplifier to maintain stability across a range of different input levels, ensuring consistent performance.
Amplifier Types
In electronic circuits, amplifiers come in various types, each serving a specific function based on the kind of signal they need to amplify. Here are a few common types:
  • Voltage Amplifiers - Designed to increase the amplitude of voltage signals.
  • Current Amplifiers - Focus on increasing current output, ideal for driving loads with low resistance.
  • Transconductance Amplifiers - Convert input voltage variations into output current variations, useful in applications where current drive is more important than voltage.
  • Transresistance Amplifiers - Convert input current to an output voltage, often used in sensor applications.
For our exercise, a voltage amplifier is chosen because it directly increases the voltage level, which perfectly matches the requirement to boost the open-circuit voltage of a sensor. Other amplifiers like current or transconductance types would not be ideal as they serve different purposes.
Load Resistance
Load resistance is an important concept in amplifier design, influencing how the amplifier interacts with connected circuitry. In practical scenarios, the connected load resistance can vary, and the amplifier must remain stable and effective regardless of these changes.
  • High input impedance is crucial in an amplifier to prevent it from drawing significant current and affecting the source's operation.
  • Low output impedance ensures that the amplifier can drive the load without large losses.
For a voltage amplifier dealing with varying load resistances, these characteristics are vital. The amplifier's design needs to account for changes in load while consistently providing the necessary voltage gain. This ensures that fluctuations in the load do not damage the signal's integrity or the amplifier's performance, providing reliable sensor data readings in experiments.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Under high-signal test conditions, a certain audio amplifier supplies a \(24 \mathrm{V} \mathrm{rms} 1-\mathrm{kHz}\) sinusoidal voltage to an \(8 . \Omega\) load. The power supply delivers 4 A at a voltage of \(50 \mathrm{V}\) to the amplifier. The signal power supplied by the input source is negligible. Determine the efficiency and the power dissipated in the amplifier.

The output terminals of an ideal trans resistance amplifier are connected to the input terminals of an ideal trans conductance amplifier. What type of ideal amplifier results? Determine its gain parameter in terms of the gain parameters of the separate stages.

Amplifier \(A\) has an input resistance of \(1 \mathrm{M} \Omega\) an output resistance of \(200 \Omega\), and an open-circuit trans resistance gain of \(100 \mathrm{M} \Omega\) Amplifier \(B\) has an input resistance of \(50 \Omega\), an output impedance of \(500 \mathrm{k} \Omega\), and a short-circuit current gain of \(100 .\) Find the voltage amplifier model for the cascade of \(A\) followed by \(B\). Then, determine the corresponding trans conductance amplifier model.

The transfer characteristic of an amplifier is described by the equation $$v_{o}(t)=10 v_{\mathrm{in}}(t)+0.6 v_{\mathrm{in}}^{2}(t)+0.4 v_{\mathrm{in}}^{3}(t)$$ For the input \(v_{\mathrm{in}}(t)=2 \cos (200 \pi t),\) determine the distortion factors \(D_{2}, D_{3},\) and \(D_{4}\) Also, compute the total harmonic distortion. You may find the following trigonometric identities useful: $$\begin{array}{l} \cos ^{2}(A)=\frac{1}{2}+\frac{1}{2} \cos (2 A) \\ \cos ^{3}(A)=\frac{3}{4} \cos (A)+\frac{1}{4} \cos (3 A) \end{array}$$

How is a wide band amplifier different from a narrow band amplifier?
See all solutions

Recommended explanations on Physics Textbooks

Kinematics Physics

Read Explanation

Further Mechanics and Thermal Physics

Read Explanation

Force

Read Explanation

Medical Physics

Read Explanation

Waves Physics

Read Explanation

Dynamics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.