(3) Find W, 5, and the type of the response in the below circuit if R=0,...
3. Natural response, for ? > 0 of a series R-L-C circuit has R = 1 Ω , L = 1 H and C = 1 F. The initial capacitor voltage is 4 V, and initial inductor current is zero. The series current is i. (i) Draw the time domain circuit. (ii) Draw the Laplace transform domain circuit. (iii) From (ii), determine Io =Io (s) (iv) From (iii), determine ?? = ??(?) for t > 0
Find the transfer function T(jw) for the circuit below. Also find the magnitude response, 0 OP000 + + C R 1 phase response and draw the bode plots for the above circuit and derived transfer function. (10 points)
Question 2 (20 points) Consider the circuit below with Vị as the input and v, as the output. Let the component values be R = 33.2, C = 470uF and L = 250mH. R + + yo(t) L - Answer the following questions using the formulas from the lecture slides: 1. What is the type of this filter? (2 points) 2. Write down the expression for the transfer function H(w) of the circuit. (4 points) 3. Write down the expression...
For the circuit shown below: Vs W RG R W Vs=32 sin( 20 t) V, R=30 0, L= 1.5 H, if the firing angle is 30 Find the average output voltage in V.
The Natural Response of an RL Circuit In summary, to find the time constant of an RL circuit, find the Thevenin equivalent resistance se Learning Goal: To analyze an RL circuit to determine the initial current through an inductor, the time constant, and the expression for the natural response of the inductor current, and to use the expression for the inductor current to find other circuit quantities, such as current, voltage, power, or energy. The natural response of an RL...
1? tq L=Ls c = 4 + R} Vo R = 132 L= IMH (micro henry) C = 2.2 pF (Pico Farad) ③ and the impulse response - using inverse laplace transform Find the step response using inverse laplace transform solve 2 and 3
Problem 3: /25 For the circuit shown below, use frequency-domain circuit analysis techniques to determine (a) the voltage transfer function Ho) of the circuit; (b) the magnitude response H(@) of the circuit; and (c) the phase response (0) of the circuit. (d) Based on the results of parts (a) - (c), identify the type of filter circuit shown. с R + + Vin(t) 0000 L Vout(t)
Solve all the problems shown below Problem 1 In a source free RLC series circuit If R=1092 ,L=5H ,and C= 2 mF 1) Find a.,0, and the characteristics roots $,$2. 2) Find the response i(t) knowing that v(0)=5V and i(0)=1A Problem 2 In a source free RLC parallel circuit If R=52 ,L= 1H ,and C= 10 m 1) Find a ,0, and the characteristics roots S1,S2. 2) Find the response V(t) knowing that v(O)=10V and i(0)=5A Problem 3 In a...
Page 3 #5 (5 pts.) Consider the following circuit (for t>0), Find the time-constant R = (10 + 20 2300 can't add since Vin - 1 у о d H tolar was е ѕѕ 2V, 2A Ray = less that wer and you houp x 2013 a tez 5 = 1.2 seconds adepandant to l andit co Sauru. suelend 2 nt
Problem No. P3: Type 2 Linear Phase FIR fitler A Type 2 linear phase FIR filter is given by h[n]-[-4, 1,-1, -2, 5, 6, 6, 5, -2, -1, 1,-4) Determine the amplitude response Hr(w) and the location of zeros of H(z) Use the code below: 2. Hr.type2: function [Hr,v,b.L) Hr_Type2(h); % Computes Amplitude response of a Type-2 LP FIR filter % Hr Amplitude Response % w- frequencies between [0 pi] over which Hr is computed % b = Type-2 LP...