A measurement system can be modeled by the equation given below \frac{7}{8}\dot{y}+y=F(t) The...

Question:

A measurement system can be modeled by the equation given below

{eq}\frac{7}{8}\dot{y}+y=F(t) {/eq}

The output signal is initially steady at 2 V. The input signal is then suddenly increased to 8 V.

i) Determine the response of the measurement system.

ii) Plot both input signal and the system response from t = 0 s through the steady response. Provide proper legend so as to identify the signals.

Response Measurement Of System:

To determine the response of a system we solve the given input signal function and find the solution of the differential equation.We thus substitute the value of the initial conditions for the signal to get the output of the signal.

Answer and Explanation: 1

Become a Study.com member to unlock this answer! Create your account

View this answer

(i) {eq}F(t)=\left\{\begin{matrix} 0 , t\leq 0\\ 8,t>0 \end{matrix}\right. {/eq}

For t<0,y=2

{eq}\frac{7}{8}\dot{y}+y=F(t)\\ y(t)=ce^{-t/...

See full answer below.


Learn more about this topic:

Loading...
Voltage Sources: Energy Conversion and Examples

from

Chapter 6 / Lesson 6
21K

Electrons are motivated to power circuits through voltage sources, which can be clearly seen in batteries and other everyday items. Generators can come in the form of nuclear, coal, natural gas, hydroelectric, and wind power to generate voltage. In this lesson, learn about energy conversion, voltage, voltage sources, and examples of these things in everyday life, including batteries and generators.


Related to this Question

Explore our homework questions and answers library