Question 2. 2. (TCO 2) The voltage in a circuit can be expressed in Laplace doma

Question

Question 2. 2. (TCO 2) The voltage in a circuit can be expressed in Laplace domain by the following expression:
V(s) =

Partial fraction expansion of V(s) is given by (Points : 6)       
      
      
       1. (TCO 2) An RLC circuit is shown below. Determine the impedance between the two terminals of the circuit and express it as a ratio of two polynomials in S with the coefficient of the highest power of S unity. (Points : 6) 2 4 Question 2. 2. (TCO 2) The voltage in a circuit can be expressed in Laplace domain by the following expression: V(s) = Partial fraction expansion of V(s) is given by (Points : 6) Question 3. 3. (TCO 2) Determine the correct expression for x(t) when the following differential equation is solved using the Laplace transform method outlined in the Week 2 Lecture. Assume all initial conditions to be zero. For inversion back to time domain, use the formulas given in the Week 2 Homework. (Points : 6) Question 4. 4. (TCO 2) An RC circuit with an initial voltage on the capacitor, with polarity as marked on the circuit, is shown below. The toggle switch is closed at t = 0 and a current i(t) is assumed to flow in the circuit clockwise. Using Laplace transform, determine which expression correctly represents the time variation of the current i(t). (Points : 6) - Question 5. 5. (TCO 2) An RLC circuit, with an initial voltage across the capacitor and polarity as marked on the circuit, is shown below. The switch is closed at t = 0 and a current i(t) is assumed to flow in the circuit clockwise. Determine which expression correctly represents the Laplace-transformed value of current i(s). Note that the coefficient of the highest power of s in the denominator may have to be made unity. (Points : 6)

Explanation / Answer

1.B

2.C

3.A

4.C

5.B

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