Hi all.
Please look at the attached circuit. I have to find the current through the inductor given by I_L(t). The only thing I know is the following equation, which I have derived:
\(
\mathcal{E(t)} = L\frac{(R_1+R_2)}{R_2}\frac{dI_L}{dt}+R_1I_L.
\)
I know that ε(t) is given by some function, whose Fourier series I know. Now my question is:
Is it correct that the complex current through the inductor is given by:
\(
I(t) = \sum {\frac{\varepsilon }{Z}\exp ( - i\omega t)},
\)
where Z is given by:
\(
Z = - i\omega nL\frac{{(R_1 + R_2 )}}{{R_2 }} + R_1,
\)
and ε is a complex amplitude?
Thanks in advance.
Please look at the attached circuit. I have to find the current through the inductor given by I_L(t). The only thing I know is the following equation, which I have derived:
\(
\mathcal{E(t)} = L\frac{(R_1+R_2)}{R_2}\frac{dI_L}{dt}+R_1I_L.
\)
I know that ε(t) is given by some function, whose Fourier series I know. Now my question is:
Is it correct that the complex current through the inductor is given by:
\(
I(t) = \sum {\frac{\varepsilon }{Z}\exp ( - i\omega t)},
\)
where Z is given by:
\(
Z = - i\omega nL\frac{{(R_1 + R_2 )}}{{R_2 }} + R_1,
\)
and ε is a complex amplitude?
Thanks in advance.
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