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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,

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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
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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