What is the time constant (in ms) of the first-order transient response of the circuit shown below? Answer to within 1% accuracy.

R1 = 9 kΩ, R2 = 8 kΩ, C = 3.7 μF.

Comment on this discrepancy, the effectiveness of your DC winding adjustment as a fix, and comment on why it is important in design cycles to do all three of theory, simulation and experiment. Your answer should be between 100-250 words.

From your understanding of the quality factor (Q) and the resonant frequency of this circuit, describe the links between bandwidth, Q and component parameters in terms of making a useful frequency dependent (aka filtering) circuit. Keep your response to within 100-250 words.

For the circuit shown below, the switch moves from 1 to 2 at t=0. What is the initial voltage (in V) over the capacitor?

vS = 7 V, R1 = 7.9 kΩ, R2 = 3.6 kΩ, C = {C} μF.

From equation 3 what is the expression for the undamped resonant frequency () of the series RLC circuit shown in figure 10? Pick the correct one from the choices below.

From Figure 12 identify the trace based on the damping ratio. Fill in the correct response below based on the trace colour shown for node “vc” in Figure 12

Note: Pick the trace colour from the image presented, not your LTSpice implementation. Your simulation trace colours may vary from what is presented in Figure 12

From equation (3) what is the expression for the damping coefficient () of the series RLC circuit shown in figure 10? Pick the correct one from the choices below.

 In the current and voltage responses of first order RC and RL circuits, you have observed some “spikes”. Compare your results across part 1 – expectations from theory, calculations from simulation, and experimentally measured behaviour. 

How does the “spiky” part of the response differ? Is this what you expect? Why?

Compare the shape of the inductor voltage “vl” in Q15 to the shape of the capacitor voltage “vc” in Q5. Pick the correct answer.

Compare the characterization you have performed on the parallel and series RLC circuits.

• In what ways do these circuits produce similar behaviour? 
• In what ways do these circuits behave differently to each other? 
• In what way is the transient behaviour controlled in each circuit, and how is this different in the two cases?  

Answer with between 100 - 250 words.