Prelab 13

In this lab step responses of RC and RLC circuits will be generated and studied.

1. Construct the circuit shown in figure 1. 

• Generate a step input, v_in(t) = u(t), by using a 1V square wave with a period sufficiently long (i.e., at least 10t) so that the output reaches steady-state before the input transitions.
• Sketch the response and  record the specified step response metrics of figure 2 in a table similar to the following.  Compare the predicted and measured values.
   

2. Determine values of R, L, and C for the circuit shown in figure 3 so that the step response is a damped sinusoid with an exponential decay governed by a s of 10⁵  (i.e. the damped sinusoidal response goes to e^-1 of its final value in 10 m-seconds) and a frequency of 1MHz. Use the value of L in your parts kit, i.e., 0.47mH or 0.68mH.

• Observe the step response and compare the theoretical response with your measurements in a table similar to that shown below. For this underdamped RLC circuit, the response should have the form v_out(t) = v_out,ss (1 - e^-stcos(wt + q))u(t).