1.Evaluate the voltage across the capacitor in a series RC
circuit with R 1 kΩ and C 1000 μF at t 0
+
and t 20 s
if the applied voltage to the circuit is (a) 2 e
0.01t
costV
(b) 2 e
0.01t
costu(t) V. Use differential equation approach.
2.A current source with i
S
(t) f(t) u(t) A is applied to a parallel
RL circuit with R 1 Ω and L 1 H. The voltage across the
combination is found to be 2e
–t
sintu(t) V. Find f(t) and the
initial current in the inductor. Do not use the Laplace transform
technique.
3.The output variable yin a linear time-invariant circuit is related
to the input variable x by the following differential equation
Its zero-input ...
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