2 2. Verification of transient analysis for figure #1 Prelab Part 2a: Expression for the inductor current, i̟L(t), as a function of time For the circuit shown in figure 1, use the results obtained via the Laplace Transform method in ECE214 Lecture 18 to find an expression for the inductor current associated with the rising edge of the input voltage, XSRising)(t), and record the calculations in the space provided below. Note that we will only consider the response due to the rising edge of the input voltage, vs(t), as shown in figure 3 below. Again note that all required equations must be generated in variable form before substituting component values to receive credit. vs(0+) = 10[V] vs(0) = 0[V] Figure 2: Input signal rising edge to be used for verifying the RLC transient analysis for figure 1 Transient analysis computations for the circuit shown in figure 1 should be placed in the space below. Time constant, I, of the envelope associated with the underdamped RLC response = Expression for VS(Rising)(t): iL(t) = 1. Laboratory Task Descriptions Verification of series RLC transient analysis computations For this laboratory exercise, students will construct an underdamped series RLC circuit, then make voltage and current measurements to investigate the validity of transient circuit analysis techniques for series RLC circuits. Measurements will be obtained using the oscilloscopes available in the laboratory. The signal generator will be used to apply a 0[V] to 10[V], 50[%] duty cycle square wave across the RLC circuit to establish the circuit response. The required square wave signal frequency for the RLC circuit will be computed below in part 2b of the prelab work. Note: To receive credit for the following prelab computations, all required equations for the prelab below must be generated in variable form before substituting component values. Generation of the equations in variable form is required to permit substituting the actual measured component values into the solution equations. This approach will improve the accuracy of the comparison between the theoretical and experimental values for the validation of the RLC transient circuit analysis. is(t) + Vs(t) ic(t) C + Vc(t) - iz(t) L 000 + VL(t) vi(t) ww i1(t) R1 Figure 1: RLC circuit to be used for verifying transient analysis (Assume R1 = 110[22], L = 10[mH], and C = 0.1[μF])