The circuit diagram below shows a low pass RC filter circuit, the function of which is to produce a potential difference at the output terminals (v) that resembles the potential difference at the input terminals (vin), but with any high frequency elements (e.g. noise) attenuated. R Vịn C The value of v is governed by the ODE dv RC + v = Vin dt Given that (in SI units) R = 10°, C = 10-7, Vin = sin(t) and v(0)= 0,
The circuit diagram below shows a low pass RC filter circuit, the function of which is to produce a potential difference at the output terminals (v) that resembles the potential difference at the input terminals (vin), but with any high frequency elements (e.g. noise) attenuated. R Vịn C The value of v is governed by the ODE dv RC + v = Vin dt Given that (in SI units) R = 10°, C = 10-7, Vin = sin(t) and v(0)= 0,
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Related questions
Question
First use Laplace transforms to solve the ODE to find v as a function of t
![The circuit diagram below shows a low pass RC filter circuit, the function of which is to produce a
potential difference at the output terminals (v) that resembles the potential difference at the input
terminals (Vin ), but with any high frequency elements (e.g. noise) attenuated.
R
Vịn
C
The value of v is governed by the ODE
dv
RC-
+v = Vin
dt
Given that (in SI units) R = 10°, C = 10-7, Vin = sin(t) and v(0)= 0,
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea4cf128-49a1-49a2-8779-32e70345ec36%2Ff72627c6-3aa7-475f-a7cc-9244ff5c94e6%2Fdvh3ke_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The circuit diagram below shows a low pass RC filter circuit, the function of which is to produce a
potential difference at the output terminals (v) that resembles the potential difference at the input
terminals (Vin ), but with any high frequency elements (e.g. noise) attenuated.
R
Vịn
C
The value of v is governed by the ODE
dv
RC-
+v = Vin
dt
Given that (in SI units) R = 10°, C = 10-7, Vin = sin(t) and v(0)= 0,
%3D
![plot both v and Vin on the same (fully labelled) graph in MATLAB so one can clearly see 4
cycles.
(B)
Delete this text and use this space to present vour 'working out'. Make this row as deen as is necessary to contain vour work.
ictions: On](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea4cf128-49a1-49a2-8779-32e70345ec36%2Ff72627c6-3aa7-475f-a7cc-9244ff5c94e6%2F5r0rso_processed.jpeg&w=3840&q=75)
Transcribed Image Text:plot both v and Vin on the same (fully labelled) graph in MATLAB so one can clearly see 4
cycles.
(B)
Delete this text and use this space to present vour 'working out'. Make this row as deen as is necessary to contain vour work.
ictions: On
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