linear
amplitude and phase response obtained for low pass filter as
frequency increase magnitude response decreases
R V.(t) CE + V.(0) Figure 2. The RC circuit. P1 For the RC circuit given...
Question 4: RC Circuit: a) Charging capacitor: A simple RC circuit is given in Figure 4a. The capacitor is empty initially and switch was open for a long time. 4E, (V) EMF is used to charge the capacitor as switch is closed at t=0s. By using Kirchhoff's voltage law and Ohm's law that you learned so far, analyze this circuit and find the unknowns given below. 1)At t=0s. draw the equivalent circuit and find v. (Os), i. (Os), i (Os),...
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Figure 1: RC Circuit RL Circuit 22 kΩ Figure 2: square V in V in square 100 kHz C1 1 nF 100 mH Tasks 300 Hz 1. (Pre-Lab Homework) Derive natural response voltage equation for RC circuit. 2. (Pre-Lab Homework) Derive step response voltage equation for RC circuit. 3. For V , use Arbitrary Function Generator with Square function, Frequency = 100kHz, Amplitude 1V, offset = 0.5V, Select your circuit components as R-1 kΩ and C-1nF. As Equation...
Problem 24: (18 points) 1. (6 points) Figure 2 shows an RC circuit with input f(t) and output y(t) Function Generator R, v, (r) y1) Figure 2: RC circuit. (a) (1 point) Sketch the circuit in the phasor domain by replacing the capacitor with its impedance represen- (b) (3 points) Using circuit analysis techniques, show that the frequency response function is Specify the DC gain, K, and the time constant, T, in terms of the parameters R, R, and C...
Impedance, Power, Phasor of RC Circuit a. Given a circuit below, calculate and draw the following quantities: Z, Ez, Iz, P, Q, S and draw their Phasors Iz 11 Es 100 V E1 Ez R 171 22 Xc 2002 b. Given a wiring circuit and measuring instruments, draw its corresponding circuit / schematic (similar to circuit of question 5.a. above) Ooo POWER MUS V BA BURY RESISTIVE LOAD DATA ACQUISITION INTERFACE 2 ON VIA ARAYANI ºooo ON N ON BAT...
A filtering circuit is given in Figure1 v¡(t) uo(t) R2 Figure 1: Filter circuit for Problem 1 (1.a) Derive the transfer function H(s) = V(s)/V(s) for this filter network. (5 marks) (1.b) Determine the magnitude |H(ju) and phase (jw) of the frequency response of the filter network. (2 marks) (1.c) What type of filter is this? What might it be used for? Justify your answer. (3 marks)
Question 4. Refer to the circuit of Figure 4. R 802 50 uF с vi(t) v.(t) Figure 4 a) Draw the circuit in the Laplace domain, and then apply basic circuit theory in the Laplace domain to show that the Laplace transfer function H(s) defined for this system is: HS) V.(5) V (5) sta where a= RC [8 Marks] b) Use Laplace methods to determine the output voltage vo(t) when the input voltage is defined as: v (1) 40(1) The...
P4.67 Solve for i(t) for t > 0 in the circuit of Figure P4.67 with R-500. given that i(0+) 0 and v(0+) 20 V. [Hint: Try a particular solution of the form (1) = A cos(100r) B sin(100r).] t=0 I H 20 sin(1001) i(t) It(r) 100 ?F Figure P4.67
2.A common-emitter circuit with an emitter bypass capacitor is shown in Figure 2(a) and its small-signal equivalent is as in Figure 2(b). Let V' = 10 V, V-=-10 V, RE-4 kQ. Re 2 kQ, CE 50 μF, VED(0) 0.7 V, β 100, VT 0.026 V and VA- Prove that the voltage gain transfer function of the circuit is given by: a) b) Find the values of the time constants τΑ and t, and the corresponding corner frequencies fa and fa....
Problem 2 An RC circuit ( with an active component) has the following transfer function (where R and Care positive) H(s) - Vout(8) _R|| R/10k12 Vin(8) 10KN 1 + $RC Where s = jw Find the value of the resistor and the value of the capacitor so that: for w = 0 rad/s, H(jw)lde = +12dB at f = 1kHz, |H(jw)lab = +9dB Problem 3 The transfer function of a circuit is given by H(S) = Vout(s) Vin(s) Where s...
PROBLEM #2: In the circuit shown, suppose that R and C are given. The transfer function of the circuit is G(s)== RCs +1 The impulse response of the circuit is g(t)== Let/RC ·u,(t). RC CV.CO Given that the input voltage is v;(t)=u,(t), determine the zero-state response v.(t) for t20 in two equivalent ways: (a) Use convolution. That is, compute the integral vo(t) = [ 8(t – T )v;()dt. (b) Use Laplace transforms. That is, compute vo(t) = ('{G(s)V;(s)}.