Find vc(t) for "all times": (Note: The switch has been at "a" for a very long time and at t=0, it switches to the "b" po
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Find vc(t) for "all times": (Note: The switch has been at "a" for a very long time and at t=0, it switches to the "b" po
and
zero input response + zero state response means
homogenous solution + particular solution
solve with differential equations *NO LAPLACE OR PHASORS*
Find vc(t) for "all times": (Note: The switch has been at "a" for a very long time and at t=0, it switches to the "b" position a) Draw the equivalent circuit for t <0 and find vc(0¯) (3 points) b) Derive the characteristic equation (2 points) c) What is the time constant of the circuit? (1 points) d) Draw the equivalent circuit for t=0* and find vc(0*) (3 points) e) Obtain the zero-input response for vc(t) for t> 0 (5 points) f) Obtain the zero-state response for vc(t) for t> 0 (5 points) g) Check that ve(t)= Vch(t) + Vep(t) = Vezi(t) + Vezs(t). Hint: Find ve(t) using the mathematical approach (6 points) 5 ΚΩ 10 V www 102 11 531 20 ΚΩ 2 μF (1) 50 2 ww