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.

Question

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.

Image Transcription

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.

Expert Answer

Want to see the step-by-step answer?

See Answer

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

See Answer
*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.

Related Electrical Engineering Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: I got parts a & b right. I just need a clarification how the author got the answer to part c 72....

A: From Part (a), the lower cutoff frequency (fL) is 34.412 Hz.

Q: For this circuit (attached), find the voltages at points A, B, C, D, and E. You may assume all the t...

A: Given data:Redraw the given circuit as shown in Figure 1.

Q: e foll a Onny uruut hind 34%

A: Part (a): Refer to Figure as shown in the part (a) of the given question.According to the Maximum po...

Q: please help me with the question 8M

A: We can start with the truth table for input. The ASCII code corresponding to each letter from A to J...

Q: The switch in the circuit seen in fig. p7.52 has been in position a for a long time. At t=0, the swi...

A: Figure 1 shows the modified circuit when t < 0.

Q: A single phase 11 kV line with a length of 15 km is to transmit 500 kVA. The inductive reactance of ...

A: Given,The length is 15 km.The inductive reactance is,

Q: Q1: a) Discuss the effect of earth on the capacitance of a line : b) Derive in expression for the ca...

A: (a) The earth can be considered as a conducting infinite equipotential plane. The electric flux line...

Q: .il Verizon LTE 7:42 PM 100%- Done 2- In the following circuit find ve) and i(t) given; y(1)-240 V ,...

A: We have been given with below values: -v1(t) = 240V, v2(t) = 120V, L=1H, C = (1/16) F and R=2 Ohm fo...

Q: A load of 1000 kW at 0·8 p.f. lagging is received at the end of a 3-phase line 20 km long. The resis...

A: Given that: