Can anybody help with the attached exercise?
The answers are R=750 ohms, C=200 micro F, L=25H
To get R I tried Vc(t)/Il(t) but couldn't get 750 ohms.
To find C I have used the following equation.
\(\begin{array}{l}
{v_c} = \frac{1}{c}\int_0^t i \,dt \\
\to 30  10{e^{  20t}} + 30{e^{  10t}} = \frac{1}{1000c}\int_0^t {40{e^{  20t}}  60{e^{  10t}}\,dt} \\
\end{array}\)
It comes close to 200 micro F but not equal.
I am not sure how to get L
The answers are R=750 ohms, C=200 micro F, L=25H
To get R I tried Vc(t)/Il(t) but couldn't get 750 ohms.
To find C I have used the following equation.
\(\begin{array}{l}
{v_c} = \frac{1}{c}\int_0^t i \,dt \\
\to 30  10{e^{  20t}} + 30{e^{  10t}} = \frac{1}{1000c}\int_0^t {40{e^{  20t}}  60{e^{  10t}}\,dt} \\
\end{array}\)
It comes close to 200 micro F but not equal.
I am not sure how to get L
Attachments

9.4 KB Views: 40
Last edited: