The circuit belowR2RIRLFig. 1. A simple low-pass filter.it driven by a sinusoidal voltage source of the form ug(t) = cos atProblem 1. Derive an expression for the amplitude of the output voltage as a function ofRi, R2, C and w (in the following we will refer to this amplitude as A(w)).Problem 2. Based on the results of Problem 1, design a low-pass filter that satisfies thefollowing requirements:1) For w0 (which corresponds to DC), the amplitude must be A(0) -1.2) For w 1,000rad/s, the amplitude must be A(1,000) 0.7.3) Your element values must be physically realistio.

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Asked May 28, 2019
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problem 2 question 2

The circuit below
R2
RI
RL
Fig. 1. A simple low-pass filter.
it driven by a sinusoidal voltage source of the form ug(t) = cos at
Problem 1. Derive an expression for the amplitude of the output voltage as a function of
Ri, R2, C and w (in the following we will refer to this amplitude as A(w)).
Problem 2. Based on the results of Problem 1, design a low-pass filter that satisfies the
following requirements:
1) For w
0 (which corresponds to DC), the amplitude must be A(0) -1.
2) For w 1,000rad/s, the amplitude must be A(1,000) 0.7.
3) Your element values must be physically realistio.
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The circuit below R2 RI RL Fig. 1. A simple low-pass filter. it driven by a sinusoidal voltage source of the form ug(t) = cos at Problem 1. Derive an expression for the amplitude of the output voltage as a function of Ri, R2, C and w (in the following we will refer to this amplitude as A(w)). Problem 2. Based on the results of Problem 1, design a low-pass filter that satisfies the following requirements: 1) For w 0 (which corresponds to DC), the amplitude must be A(0) -1. 2) For w 1,000rad/s, the amplitude must be A(1,000) 0.7. 3) Your element values must be physically realistio.

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Expert Answer

Step 1

The given low pass filter is:

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Step 2

First, calculate the amplitude of the output voltage and then calculate the value of the elements R1, R2 and C in order to design a low pass filter for the given conditions.

Step 3

The values of Z1 and Z2 will be...

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