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Exercise 4) Consider the RC network shown, where v(t) is the input voltage and ve(t) is...
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...
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...
Question 4. Refer to the circuit of Figure 4. R 802 50 uF с vi(t) v.(t)...
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...
The 1 mA. V, ls -VE -15 15 V, in the following differential amplifier circuit, Vcc parameters are given as β, 100, VBE# 0.7 V, pr-25 mV, K.-100 V. transistor Rc-10 kΩ For: RE-150 Ω Rc Rc REE-200...
The 1 mA. V, ls -VE -15 15 V, in the following differential amplifier circuit, Vcc parameters are given as β, 100, VBE# 0.7 V, pr-25 mV, K.-100 V. transistor Rc-10 kΩ For: RE-150 Ω Rc Rc REE-200 kΩ a) What is the input differential resistance, Rid b) What is the overall voltage gain vV? You c) What is input common mode resistance, d) What is the worst case common mode gain that appear across the two input terminals? (4...
When the input voltage to a linear circuit is δ(t) V, the output voltage is vo(t)=8e-6t...
When the input voltage to a linear circuit is δ(t) V, the output voltage is vo(t)=8e-6t u(t) Find the output voltage vo (t ) using Laplace transform for the input voltage vi (t)=4u(t)-6e-2t u(t) using the Laplace transform
Find the phase angle (in degrees) of this RC circuit if the input voltage V(t) =...
Find the phase angle (in degrees) of this RC circuit if
the input voltage V(t) = 4 sin (2πft).
Data: C = 0.10 μF, R = 150 Ω,
and f = 15 kHz.
V(t)( ^)
Problem 2:(20 points) Consider the RC circuit in Figure 2. You may assume that the switch...
Problem 2:(20 points) Consider the RC circuit in Figure 2. You may assume that the switch has been opened long enough for the voltages and currents to reach steady-state values. At time t = 0 the switch is closed. t-0 Figure 2: The switch in the RC circuit is closed at timet0 1. (6 points) Find the voltage v(0-) and the current i(0) just before the switch is closed. 2. (6 points) Find the voltage v(0+) and the current i(0+)immediately...
Consider a high-pass RC circuit shown below. Let the capacitor be initially uncharged, and the input...
Consider a high-pass RC circuit shown below. Let the capacitor be initially uncharged, and the input v;(t) be applied at t= 0. v;(t) SR v.(t) (a) Obtain the differential equation governing the input and output voltages for t > 0. (b) Using trapezoidal rule convert the same into a difference equation. (c) Obtain the response v.(t) by solving the differential equation. a sampling For numerical values of R = 80092 and C = 0.754F and for vi(t) = A coswt,...
Consider the following circuit , where the voltage v(t) is imposed for t 2 0, R 4 Ω, L-1H and C 1/4F. The initial in...
Consider the following circuit , where the voltage v(t) is imposed for t 2 0, R 4 Ω, L-1H and C 1/4F. The initial initial current going through the inductor is i(0-) -0 A and its first derivative is i(0)-1A/s. We are interested in the evolution of the current i(t). ve(t) i(t) The corresponding input-output relationship is i(r)dr Ug(t) + Li'(t) + Ri(t)-r(t) with t e(t)-ve(0) + (0) Which physical quantity is the input of the system? Explain. (ü) Which...
(1) Consider the RC circuit shown in Figure 1. For t<0 the switch is open, and...
(1) Consider the RC circuit shown in Figure 1. For t<0 the switch is open, and the charge stored on the capacitor is 0. At t-0 the switch is closed, and the voltage source begins charging the capacitor. Let R1-R2-220 Ω , C-0.47 μ F , Vs-5 V. (a) Write the differential equation as an expression for the capacitor voltage fort> 0 (i.e. write the differential equation) and calculate the time constant (b) Calculate the steady-state capacitor voltage R2 R1...
Question No.2 (CLO 21 10 marks) ) In the circuit shown the input v(O) is a...
Question No.2 (CLO 21 10 marks) ) In the circuit shown the input v(O) is a step voltage of sv and the output is the voltage across the capacitor vot) a. Find the output voltage in Laplace domain. Find the output voltage as a function of time (assume the initial voltage across the capacitor is zero). Sketch the output voltage. Find the time constant and settling time. . c. (b) Given the following system G (s)-=-: i Find the differential...
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...
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...
The 1 mA. V, ls -VE -15 15 V, in the following differential amplifier circuit, Vcc parameters are given as β, 100, VBE# 0.7 V, pr-25 mV, K.-100 V. transistor Rc-10 kΩ For: RE-150 Ω Rc Rc REE-200 kΩ a) What is the input differential resistance, Rid b) What is the overall voltage gain vV? You c) What is input common mode resistance, d) What is the worst case common mode gain that appear across the two input terminals? (4...
Find the phase angle (in degrees) of this RC circuit if
the input voltage V(t) = 4 sin (2πft).
Data: C = 0.10 μF, R = 150 Ω,
and f = 15 kHz.
V(t)( ^)
Problem 2:(20 points) Consider the RC circuit in Figure 2. You may assume that the switch has been opened long enough for the voltages and currents to reach steady-state values. At time t = 0 the switch is closed. t-0 Figure 2: The switch in the RC circuit is closed at timet0 1. (6 points) Find the voltage v(0-) and the current i(0) just before the switch is closed. 2. (6 points) Find the voltage v(0+) and the current i(0+)immediately...
Consider a high-pass RC circuit shown below. Let the capacitor be initially uncharged, and the input v;(t) be applied at t= 0. v;(t) SR v.(t) (a) Obtain the differential equation governing the input and output voltages for t > 0. (b) Using trapezoidal rule convert the same into a difference equation. (c) Obtain the response v.(t) by solving the differential equation. a sampling For numerical values of R = 80092 and C = 0.754F and for vi(t) = A coswt,...
Consider the following circuit , where the voltage v(t) is imposed for t 2 0, R 4 Ω, L-1H and C 1/4F. The initial initial current going through the inductor is i(0-) -0 A and its first derivative is i(0)-1A/s. We are interested in the evolution of the current i(t). ve(t) i(t) The corresponding input-output relationship is i(r)dr Ug(t) + Li'(t) + Ri(t)-r(t) with t e(t)-ve(0) + (0) Which physical quantity is the input of the system? Explain. (ü) Which...
(1) Consider the RC circuit shown in Figure 1. For t<0 the switch is open, and the charge stored on the capacitor is 0. At t-0 the switch is closed, and the voltage source begins charging the capacitor. Let R1-R2-220 Ω , C-0.47 μ F , Vs-5 V. (a) Write the differential equation as an expression for the capacitor voltage fort> 0 (i.e. write the differential equation) and calculate the time constant (b) Calculate the steady-state capacitor voltage R2 R1...
Question No.2 (CLO 21 10 marks) ) In the circuit shown the input v(O) is a step voltage of sv and the output is the voltage across the capacitor vot) a. Find the output voltage in Laplace domain. Find the output voltage as a function of time (assume the initial voltage across the capacitor is zero). Sketch the output voltage. Find the time constant and settling time. . c. (b) Given the following system G (s)-=-: i Find the differential...
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