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In the circuit shown below if iL(0) = 10 A, the Laplace transform of the output current I0(s) will be
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In the circuit shown below if iL(0) = 10 A, the Laplace transform of t...
Concept:

The time-domain equation that relates the terminal voltage to the terminal current for an inductor as shown is:

Taking the Laplace transform, we get:

The above equation is the sum of voltages sLI(s) and –Li(0-). This is represented as:

Equation (1) can also be written as:

The circuit representing the above Equation is as shown:

Application:
Replacing the inductor by its s-domain equivalent, we get:

The parallel equivalent of 0.4s and 40 Ω resistor will be:

Applying current division rule, we get:
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In the circuit shown below if iL(0) = 10 A, the Laplace transform of the output current I0(s) will bea)b)c)d)Correct answer is option 'C'. Can you explain this answer?
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