Question

3.52 In the circuit of Fig. P3.51, let $i(0) = 1$ mA. (a) Compute the resistance $R$ so that the zero-input response has the form $i(t) = Ae^{-20000t}u(t) + Be^{-5000t}u(t)$ for some constants $A$ and $B$. (b) Using the resistance $R$ from (a), compute the initial capacitor voltage $v(0)$ so that the zero-input response is $i(t) = Be^{-5000t}u(t)$ for some constant $B$.

          3.52 In the circuit of Fig. P3.51, let $i(0) = 1$ mA.
(a) Compute the resistance $R$ so that the zero-input response
has the form
$i(t) = Ae^{-20000t}u(t) + Be^{-5000t}u(t)$
for some constants $A$ and $B$.
(b) Using the resistance $R$ from (a), compute the initial
capacitor voltage $v(0)$ so that the zero-input response is
$i(t) = Be^{-5000t}u(t)$ for some constant $B$.

3.52 In the circuit of Fig. P3.51, let i(0) = 1 mA.
(a) Compute the resistance R so that the zero-input response
has the form
i(t) = Ae^-20000tu(t) + Be^-5000tu(t)
for some constants A and B.
(b) Using the resistance R from (a), compute the initial
capacitor voltage v(0) so that the zero-input response is
i(t) = Be^-5000tu(t) for some constant B.

Added by Joseph J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Justin Swantek

Step 1

In this case, the only source of current is the initial capacitor voltage. (a) Show more…

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3.52 In the circuit of Fig, P3.51, let i (0) = 1 mA. (a) Compute the resistance R so that the zero-input response has the form for some constants A and B. (b) Using the resistance R from (a), compute the initial capacitor voltage (0) so that the zero-input response is