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Question 2 Consider the coupled LC oscillator shown in Figure 1. The two inductors have the same inductance L and the three capacitors have the same capacitance C. 00000 ron Լ Lz Figure 1 (a) Derive the differential equations that govern the dynamics of the currents i₁(t) and i2(t) in the two inductors. [12 marks] (b) Solve the above differential equations to find the general form of the currents i₁ (t) and i₂(t) in the two inductors. Clearly indicate what parameters in your solution are to be determined by the unknown initial conditions. [14 marks]

Question 2 Consider the coupled LC oscillator shown in Figure 1. The two inductors have the same inductance L and the three capacitors have the same capacitance C. 00000 ron Լ Lz Figure 1 (a) Derive the differential equations that govern the dynamics of the currents i₁(t) and i2(t) in the two inductors. [12 marks] (b) Solve the above differential equations to find the general form of the currents i₁ (t) and i₂(t) in the two inductors. Clearly indicate what parameters in your solution are to be determined by the unknown initial conditions. [14 marks]

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 is NOT part of a graded assignment. This is a past paper question but my university does not put up a mark scheme.

Question 2 Consider the coupled LC oscillator shown in Figure 1. The two inductors have the same inductance L and the three capacitors have the same capacitance C. 00000 ron Լ Lz Figure 1 (a) Derive the differential equations that govern the dynamics of the currents i₁(t) and i2(t) in the two inductors. [12 marks] (b) Solve the above differential equations to find the general form of the currents i₁ (t) and i₂(t) in the two inductors. Clearly indicate what parameters in your solution are to be determined by the unknown initial conditions. [14 marks]
Transcribed Image Text:Question 2 Consider the coupled LC oscillator shown in Figure 1. The two inductors have the same inductance L and the three capacitors have the same capacitance C. 00000 ron Լ Lz Figure 1 (a) Derive the differential equations that govern the dynamics of the currents i₁(t) and i2(t) in the two inductors. [12 marks] (b) Solve the above differential equations to find the general form of the currents i₁ (t) and i₂(t) in the two inductors. Clearly indicate what parameters in your solution are to be determined by the unknown initial conditions. [14 marks]
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