The voltage across capacitor C2 can be obtained by solving a second order differ

Question

The voltage across capacitor C2 can be obtained by solving a second order differential equation. The solution for this differential equation has two parts, the natural and the forced response: V2(t) = vf(t) +vn(t) . In general the solution can be divided into three types: overdamped, critically damped and underdamped.

(a) Find the second order differential equation for v2(t) (Hint: Use Nodal Analysis)

(b) If the roots for the natural response differential equation (when Vs(t) = 0 ) are given by

find an expression for a and w0 in terms of R1,R2,C1, and C2.

(C) Find the values of a, w0, s1, and s2.

(D) Find Vf(t).

(e) Find V2(t) (Hint: Determine solution type and find the constant values)

(f) Find V1(t)

(g) Plot V1(t) and V2(t)

Explanation / Answer

Hi,

There was some problem with the image upload to Chegg. So, I am giving you the image links.

Part(a,b,c)

https://drive.google.com/file/d/0BzsApW5yffhsMEliNGtEYTJaY0E/edit?usp=sharing

Part(d,e)

https://drive.google.com/file/d/0BzsApW5yffhsSzcxQ3JCbGRaRVk/edit?usp=sharing

Part(f,g)

https://drive.google.com/file/d/0BzsApW5yffhsbjIwaXVaX1lEM3c/edit?usp=sharing

Let me know if you face any problem. And don't forget to rate!

Cheers,

Saurav

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.