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(a) Construct a Thévenin equivalent circuit across the terminals a, b for the circuit shown in Figure 4.1. [6 marks] 25 N 8 V(+ 1A(1) 30 Ω b

(a) Construct a Thévenin equivalent circuit across the terminals a, b for the circuit shown in Figure 4.1. [6 marks] 25 N 8 V(+ 1A(1) 30 Ω b

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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this question got rejected due to it being graded but it is a past exam paper? this is not being handed in, it is only preparation I am doing for upcoming exam in this module I can send the full paper if you like which shows it is from either 2017 oe 2018?

Question 4 4. (a) Construct a Thévenin equivalent circuit across the terminals a, b for the circuit shown in Figure 4.1. [6 marks] 25 2 8V 1A(1) 30 N b Figure 4.1 (b) The switch-capacitor-inductor network shown in Figure 4.2 is placed across the terminals of a Thévenin equivalent circuit with an open circuit voltage of 10 V and Thévenin equivalent resistance of 10 N. There is no energy stored in either the capacitor or inductor at time t = 0. For the resulting circuit, give the following values, assuming the switch is closed at t = 0: (i) the initial voltage across the capacitor (t = 0) (ii) the final steady state voltage across the capacitor (t >> 0) (iii) the initial current through the inductor (t = 0) (iv) the final steady state current through the inductor (t >> 0) [4 marks] t = 0 a b 10 nF 100 μΗ Figure 4.2 Question 4 is continued on the next page
Transcribed Image Text:Question 4 4. (a) Construct a Thévenin equivalent circuit across the terminals a, b for the circuit shown in Figure 4.1. [6 marks] 25 2 8V 1A(1) 30 N b Figure 4.1 (b) The switch-capacitor-inductor network shown in Figure 4.2 is placed across the terminals of a Thévenin equivalent circuit with an open circuit voltage of 10 V and Thévenin equivalent resistance of 10 N. There is no energy stored in either the capacitor or inductor at time t = 0. For the resulting circuit, give the following values, assuming the switch is closed at t = 0: (i) the initial voltage across the capacitor (t = 0) (ii) the final steady state voltage across the capacitor (t >> 0) (iii) the initial current through the inductor (t = 0) (iv) the final steady state current through the inductor (t >> 0) [4 marks] t = 0 a b 10 nF 100 μΗ Figure 4.2 Question 4 is continued on the next page
(c) (i) For the circuit described in Q4(b), use Nodal Analysis to show that the circuit behaviour for t> 0 can be described by a characteristic equation of the form given in equation 4.1. s² + 2as + wổ (4.1) Where the variables have their usual meaning, and where a and wo can be expressed in terms of the resistance, capacitance and inductance values. [12 marks] (ii) Calculate the values of a and wo, and hence find a value for wa [4 marks] (d) The switch-inductor-capacitor network of Figure 4.2 is instead attached across the terminals a, b of the circuit shown in Figure 4.1. Calculate the current that will be measured through the 30 Q resistor for t >> 0 (a long time after the switch was closed). [4 marks]
Transcribed Image Text:(c) (i) For the circuit described in Q4(b), use Nodal Analysis to show that the circuit behaviour for t> 0 can be described by a characteristic equation of the form given in equation 4.1. s² + 2as + wổ (4.1) Where the variables have their usual meaning, and where a and wo can be expressed in terms of the resistance, capacitance and inductance values. [12 marks] (ii) Calculate the values of a and wo, and hence find a value for wa [4 marks] (d) The switch-inductor-capacitor network of Figure 4.2 is instead attached across the terminals a, b of the circuit shown in Figure 4.1. Calculate the current that will be measured through the 30 Q resistor for t >> 0 (a long time after the switch was closed). [4 marks]
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