4) For the circuit shown below: a) Draw the equivalent circuit for t<0 and find i, (07) and vc(07) (2 points) dvc(0+) di
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4) For the circuit shown below: a) Draw the equivalent circuit for t<0 and find i, (07) and vc(07) (2 points) dvc(0+) di
t(0+)and zero input response + zero state response means homogenous solution + particular solution solve with differential equations *NO LAPLACE OR PHASORS*
t(0+)
and
zero input response + zero state response means
homogenous solution + particular solution
solve with differential equations *NO LAPLACE OR PHASORS*
4) For the circuit shown below: a) Draw the equivalent circuit for t<0 and find i, (07) and vc(07) (2 points) dvc(0+) di, (0+) and dt dt b) For t>0, draw the equivalent circuit and find c) Derive the characteristic equation (2 points) d) Find the roots of the characteristic equation (2 points) e) Determine the type of the system response (1 points) f) Obtain the zero-input response for iL(t) (5 points) g) Obtain the zero-state response for il(t) (5 points) h) Check that i(t)=iLh(t) + iLp(t) =iLz(t) + izs(t). Hint: Find i(t) using the mathematical approach (6 points) 150 V L 5 mH 300 Ω www t=0 IR 200 Ω (2 points) ic ic 20 nF c