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(Solved): For the RC circuit in the Figure below: a) Find the input/output differential equations. b ...
For the RC circuit in the Figure below: a) Find the input/output differential equations. b) Find the transfer function \( \mathrm{H}(\mathrm{s}) \). c) Find its pole(s). Is the system stable? d) Solve for \( y(\mathrm{t}) \) suppose \( i(t)=u(t) \), and the initial value \( v_{C}\left(0_{-}\right)=0 \) Volt.
Expert Answer
(a) given circuit i(t)=u(t) R iR(t) iC(t) C +- VC(t)=y(t) A apply KCL at node A i(t)=iR(t)+iC(t) (A) current through capacitor iC(t)=CdvC(t)dt current