Question

In the circuit given below, I = 3 A. Find the output voltage vo(t). t = 0 5 ????? 10 ????? 1 H 10 mF vo The output voltage is vo(t) = [A + Bt]est V, where A = , B = , and s = .

          In the circuit given below, I = 3 A. Find the output voltage vo(t).

t = 0
5 ?????
10 ?????
1 H
10 mF
vo

The output voltage is vo(t) = [A + Bt]est V,
where A = , B = , and s = .

Added by Pilar W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert David Morabito

Step 1

For a series R–L–C the characteristic equation is L C s^2 + R C s + 1 = 0. Critical (repeated) root occurs when R = 2 sqrt(L/C) and the repeated root is s = −R/(2L). - With L = 1 H and C = 10 mF = 0.01 F: sqrt(L/C) = sqrt(1/0.01) = 10 Ω so Rcrit = 2·10 = 20 Show more…

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In the circuit given below, I = 3 A. Find the output voltage vo(t). t = 0 10 ̐̐̐̐̐ 10 ̐̐̐̐̐ 5 ̐̐̐̐̐ 1 H 10 mF vo The output voltage is vo(t) = [A + Bt]est V, where A = , B = , and s = .