Question

Question 2 Figure 2 shows a basic RLC circuit. Figure 2: A basic RLC circuit with resistance R, inductance L, and capacitance C. a) Determine the differential equation that relates the output voltage v2(t) and the input voltage v1(t) as depicted in Figure 2. (8 marks) b) What is the order of the differential equation that describes the electric circuit? (2 marks) c) Using Laplace transform, derive the transfer function V2(s)/V1(s) where V1(s) and V2(s) represent the input and output voltages in Laplace, respectively. (4 marks) d) Using the transfer function V2(s)/V1(s) obtained in 3(c), determine the undamped natural frequency ?n and damping ratio ? as functions of resistance R, inductance L, and capacitance C. (6 marks)

          Question 2
Figure 2 shows a basic RLC circuit.
Figure 2: A basic RLC circuit with resistance R, inductance L, and capacitance C.
a) Determine the differential equation that relates the output voltage v2(t) and the input voltage v1(t) as depicted in Figure 2. (8 marks)
b) What is the order of the differential equation that describes the electric circuit? (2 marks)
c) Using Laplace transform, derive the transfer function V2(s)/V1(s) where V1(s) and V2(s) represent the input and output voltages in Laplace, respectively. (4 marks)
d) Using the transfer function V2(s)/V1(s) obtained in 3(c), determine the undamped natural frequency ?n and damping ratio ? as functions of resistance R, inductance L, and capacitance C. (6 marks)

Question 2
Figure 2 shows a basic RLC circuit.
Figure 2: A basic RLC circuit with resistance R, inductance L, and capacitance C.
a) Determine the differential equation that relates the output voltage v2(t) and the input voltage v1(t) as depicted in Figure 2. (8 marks)
b) What is the order of the differential equation that describes the electric circuit? (2 marks)
c) Using Laplace transform, derive the transfer function V2(s)/V1(s) where V1(s) and V2(s) represent the input and output voltages in Laplace, respectively. (4 marks)
d) Using the transfer function V2(s)/V1(s) obtained in 3(c), determine the undamped natural frequency ?n and damping ratio ? as functions of resistance R, inductance L, and capacitance C. (6 marks)

Added by Mark B.

Question

Please give Ace some feedback