2. For a DA converter, the LRC circuit chosen has inductance L = 10 H , resistance R = 10 N and inductance C = 0. 2 F . The input digital signal is a power surge (impulse) of magnitude 100 V lasting an instant at t = a. Use your notes to model the second order differential equation in terms of the charge q suited to this application. Simplify the equation with the coefficient of q'' as 1. Use the Laplace transform and calculate the (general) output voltage v, if vo = - g. Your solution will be in terms of a. Use the initial conditions g(0) = 0 and q'(0) = 0. Do not use Matlab as its solution will not be identifiable in the solution entry.

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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2. For a DA converter, the LRC circuit chosen has inductance L = 10 H, resistance R = 10 Q and
inductance C = 0. 2 F . The input digital signal is a power surge (impulse) of magnitude 100 V
lasting an instant at t = a. Use your notes to model the second order differential equation in terms of
the charge q suited to this application. Simplify the equation with the coefficient of q'' as 1. Use the
Laplace transform and calculate the (general) output voltage vo if vo =
q. Your solution will be in
C
terms of a. Use the initial conditions g(0) = 0 and q'(0) = 0. Do not use Matlab as its solution willI
not be identifiable in the solution entry.
You must indicate in your solution:
1. The simplified differential equation in terms of the charge q you will be solving
2. The simplified Laplace transform of this equation where you have made L{q} subject of the
equation
3. The partial fractions process if required
4. The completing the square process if required
5. Express the solution q as a piecewise function
Transcribed Image Text:2. For a DA converter, the LRC circuit chosen has inductance L = 10 H, resistance R = 10 Q and inductance C = 0. 2 F . The input digital signal is a power surge (impulse) of magnitude 100 V lasting an instant at t = a. Use your notes to model the second order differential equation in terms of the charge q suited to this application. Simplify the equation with the coefficient of q'' as 1. Use the Laplace transform and calculate the (general) output voltage vo if vo = q. Your solution will be in C terms of a. Use the initial conditions g(0) = 0 and q'(0) = 0. Do not use Matlab as its solution willI not be identifiable in the solution entry. You must indicate in your solution: 1. The simplified differential equation in terms of the charge q you will be solving 2. The simplified Laplace transform of this equation where you have made L{q} subject of the equation 3. The partial fractions process if required 4. The completing the square process if required 5. Express the solution q as a piecewise function
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