# Laplace transforms, inverse laplace transforms and transient solutions

1. Find the Laplace transform of .

2. Find the Laplace transform of .

3. Find the Laplace transform of .

4. Find the inverse Laplace transform of .

5. Find the inverse Laplace transform of .

6. Find the inverse Laplace transform of .

7. The voltage and current in the Laplace domain for a certain system is given by . Is this system best described as resistive, capacitive, or inductive?

8. The voltage and current in the Laplace domain for a certain system is given by . Is this system best described as resistive, capacitive, or inductive?

9. For a second order RLC circuit, in the s-domain . If , is the system damped? If so, how? Characterize the behavior of the system.

10. A resistor and inductor are connected in series with a voltage source . If H, find the total response of the current. Assume there is initially no current. Identify the transient solution.

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#### Solution Summary

Laplace transforms, inverse laplace transforms and transient solutions are examined by the expert. The voltage and current in the Laplace domain for a certain system is determined.