t=t1t = 0 –SIin= 10 A (DC)R¡ = R2=5 NIinR1R2LL= 500 μΗtj = 50 µsIn the circuit shown above, the switch S has been open for a long time. At 1 = 0, the switch S isclosed. At i = t1, the switch S is opened again.Please answer the following questions.(1) Derive the mathematical expression for the inductor current i,(t) for 0

Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Answered: (1) Derive the mathematical expression…

(1) Derive the mathematical expression for the inductor current iL(t) for 0 t1. (4) Calculate the time instants when the inductor current iz(t) is equal to 2A.

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter16: Inductance In Ac Circuits

Section: Chapter Questions

Problem 1PP: Inductive Circuits Fill in all the missing values. Refer to the following formulas:...

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Sinusoids And Phasors

Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.

Circuit Theory

Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).

Question

100%

t=t1
t = 0 –
S
Iin= 10 A (DC)
R¡ = R2=5 N
Iin
R1
R2
L
L= 500 μΗ
tj = 50 µs
In the circuit shown above, the switch S has been open for a long time. At 1 = 0, the switch S is
closed. At i = t1, the switch S is opened again.
Please answer the following questions.
(1) Derive the mathematical expression for the inductor current i,(t) for 0 <t <t1.
(2) Calculate the inductor current i(t) at t = tj.
(3) Derive the mathematical expression for iL(t) for t2 t1.
(4) Calculate the time instants when the inductor current in(t) is equal to 2A.

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