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)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F644beef5-0d85-41d9-8ba6-b79538d31032%2F4490e952-d080-4814-99ca-8c6adbd9fa34%2F6d54ry6_processed.png&w=3840&q=75)
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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