Electric Circuit Analysis: Unit III: Transient Response Analysis
D.C. Transients with Sinusoidal Excitations
Worked Example Solved Problems
Electric Circuit Analysis: Unit III: Transient Response Analysis : Worked examples
WORKED EXAMPLES
Transients with Sinusoidal Excitations
Example
18 In the R-C circuit shown in the fig. 3.25 the capacitor has an initial
charge q0 25 × 10-6 colombs with polarity as marked in
the diagram. The sinusoidal voltage v = 100 sin (1000t + ϕ) is applied to the
circuit at a time corresponding to ϕ = 30°. Determine the expression for the
current i.
Solution:
Applying KVL we get
[Note: The student may check up
this simplification by partial fractions.]
Example
19 In the circuit shown in fig. 3.26, find the current i. Assume that initial
charge across the capacitor is zero.
Solution:
Application of KVL of the circuit yields
on
inverse transform we get
[Note: Here we can take I (s) as
below also
I
(s) = A / s + 400 + Bs + C / s2 + 5002
After
evaluating A, B and C we can take inverse Laplace and simplify]
Electric Circuit Analysis: Unit III: Transient Response Analysis : Tag: : Worked Example Solved Problems - D.C. Transients with Sinusoidal Excitations
Electric Circuit Analysis: Unit III: Transient Response Analysis
Under Subject
Electric Circuit Analysis
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