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Hello All, I am currently taking Signal Processing & Linear Systems. Ive come across my last problem for homework but cant find a way to do it. If someone can show me in the right direction it will be very helpful.

Thanks

The Problem:

The voltage f(t) = 2u(t) is applied to the circuit shown in the figure below. The

initial inductor current is i(0) = 2mA.

250mH

|-----mmm------| +

f(t) ( ~ ) i(t)--> Z 500 Ohms y(t)

|______________| _

a) Find the zero-input response yzi(t) of the system.

b) Find the zero-state response yzs(t) of the system.

c) What is the total response y(t) of the system?

so far all i can get is the differential needed, but im not even sure if its right:

f(t) = 250mH*Ldi/dt + 500*i(t) --> 250mH D + 500y(t)

any help trying to finish this problem would be great thanks again!

Ajay

Thanks

The Problem:

The voltage f(t) = 2u(t) is applied to the circuit shown in the figure below. The

initial inductor current is i(0) = 2mA.

250mH

|-----mmm------| +

f(t) ( ~ ) i(t)--> Z 500 Ohms y(t)

|______________| _

a) Find the zero-input response yzi(t) of the system.

b) Find the zero-state response yzs(t) of the system.

c) What is the total response y(t) of the system?

so far all i can get is the differential needed, but im not even sure if its right:

f(t) = 250mH*Ldi/dt + 500*i(t) --> 250mH D + 500y(t)

any help trying to finish this problem would be great thanks again!

Ajay

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