X iY ww + ic 1 H V 10 mF The RLC circuit is known to have a critically damped response, with the unknown resistance value x. Given that v(0) = 2*x and ₁₁(0) = -12. Determine the natural response solution for v(t). On = (48 + 1280) e-10% ○ 1 = (8+ 800) e-10t On = (10+1100) e 10t Ov (5+1550) e " -10t Ο υπ (450+250) e 10% ○ vn = (25+ 2500) e 10t

im looking at analysing RL and RC circuits (First order circuits) and im wondering how to determine the differential equations and general solutions for each case (including step response circuits using switches) what exactly is the process you would use to determine them for each case?

I need the see the actual MATLAB code for the   Find the breakaway point on the real axis and the gain for this point.                                          ii.    Find the gain to provide two complex roots nearest the jω-axis with a damping ratio of 0.707.

Questions A, B, C and D

You are asked to build a sinusoidal waveform generator for a frequency of 10,000 Hz. You have not designed this before. You start a brainstorming session with your team by examining a series RLC circuit. One of your team members points out that the step response of the series RLC circuit with complex roots would have an exponentially decaying sinusoidal response. The team member argues that if we eliminate exponent from the time response by making appropriate changes in the circuit or component values, we could get a sinusoidal signal at any desired frequency. After some discussion you decide to follow this approach. 1. Design a series RLC circuit with a resonant frequency of 10 kHz. Use C = 1.0 nF and compute the other component values for your design. 2. Implement and test the circuit. Document all your measurements and observations. Questions: 1. Were you able to design, build, and test the circuit to meet all the requirements of this experiment? Please explain any discrepancies in…

An LC circuit like the one in the Figure contains an 25.1-mH inductor and a 224-µF capacitor that initially carries a 212-μC charge. The switch is open for t < 0 and then thrown closed at t = 0. At t = 1.97-ms, find the current in the circuit (unit in mA). t C -ww- L

need help with d e f

C(s) R(s) s+5 to get an overshoot of 15% and a settling time at 2% of 0.5 seconds, The value of damping ratio is Select one: O a. 0.707 O b. 0.417 c. 0,517 O d. 0.69

i need both parts a and b. but for part b as of righ now the bounds are not inf to inf? how would i  change it to inf to inf to match and use parsevals for that? also please make sure to see that there are phase shifts in part a with both sinc functions.  step by step solution is greatly appreciated

Can you please help with question 2. parts a-d.?