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Question No.2 (CLO 21 10 marks) ) In the circuit shown the input v(O) is a...
TEE301/05 Question 3 (20 marks) An RLC circuit with a 1V DC source is shown in Fig. 1: i(t) Vout - R-0.22 L-0.1 H C- 10 F Fig. 1 (a) List two properties of Laplace transform. Explain these two properties. [6 marks] (b) Assume that the initial inductor current is OA and initial capacitor voltage is 0.4 V 4 marks] (c) Determine the current, t) in time domain by performing inverse Laplace transform. [4 marks) determine the expression of the...
2. (14 marks total) This question deals with the series RLC circuit discussed in the classroom and in the labs. Assume that the voltage source is arbitrary and there is a non-zero charge, g(0), on the capacitor at time t 0 when a switch is closed to start current flow. For this question assume variable R, L and C values. (a) Write down the differential equation that describes the charge on the capacitor as a function of time. (2 marks)...
thx!!!! Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in Figure 1. What is the value of the steady state gain(s), if any? b) If R1 1, R2 = 2n, C\ = 2- 10-3F, C 1-10-3F, calculate the time constants of the system (if any). c) Find the initial and final values of the unit impulse response of the circuit d) Derive the time-domain expression of the output if the input is the function...
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...
Exercise 4) Consider the RC network shown, where v(t) is the input voltage and ve(t) is the circuit output voltage. R is the same for all resistors (4a) Write differential equations of the circuit in terms of the currents. Convert the equa tions to the Laplace domain (5 marks)v(oO 4b) Find the transfer function Ve(s)/V(s) (5 marks) (4c) Using the final value theorem, calculate the steady-state value of ve(t) for an unit step input of u(t), i.e., u(t)-1 V (2.5...
Q1)[10 marks, CLO: 01] While the switch of the circuit in the figure is held down for 1.5 s, the 9V battery delivers 9 to the connected in series bulb, find: a. Show on the figure the conventional current flow and electron flow b. The amount of charge delivered 9 V c. The current produced in milliampere. d. Calculate the rate at which the electrical energy is converted in the bulb. e. Calculate the resistance of the bulb filament. 02)...
The input to the circuit shown in Fig. 2 is the voltage source v(t). The output is the voltage across the capacitor, v(t). Determine the output of this circuit as a function of time t when the input is v.(t)-8+12u(t) V 40 18 s(t) 160 Fig. 2
Question 3 A high quality telescope is represented using a transfer function, shown in Figure 3. It needs to follow a trajectory described by input E(s) exactly in order to track a star. The output C(s) is the angle of the telescope E(s) 7 C) Figure 3: A System expressed as a Transfer Function (a) Convert the system into state space form (b) Find the steady state error when a unity step input is applied. (c) Is your answer to...
Question 2: (10 points) In the full rectifier circuit shown, the input is a sine wave with a frequency of 50 Hz and an amplitude of 6 V. 1 For this circuit, sketch on the figure below the output voltage across the resistor R assuming ideal diodes. Show the time scale on the figure. Sketch also on the same figure a typical output when a capacitor is placed in parallel with the resistor. vou TOU to ts. ti to 0.00...
6: In the circuit shown in Figure-6, input voltage of 15V de was switched ON at t-o. (a) Convert the circuit its Laplace equivalent at t >0, if ILO)-2A and vc (0)-6V. b) Find the capacitor voltage, Ve (s) in the frequency domain (c) Solve Ve (t) in the time domain. Switch L= 5H t-o 15V (0 ) = 2A V (o =6V 0.1F 6: In the circuit shown in Figure-6, input voltage of 15V de was switched ON at...