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An RLC circuit consists of a 25 mH inductor, a 0.001 µF capacitor and a variable resistor connected in series.
The initial charge on the capacitor at t = 0 when the switch is closed is 1 mC.
What is the critical resistance Rc for this circuit (the resistance that makes the oscillation of charge critically damped)?
Also, generate three plots of the charge on the capacitor vs. time:
1.) Q(t) from t = 0 to t = 1 ms for R = 0.01 x Rc
2.) Q(t) from t = 0 to t = 1 ms for R = 0.1 x Rc
3.) Q(t) from t = 0 to t = 1 ms for R = Rc from t = 0
A 2.67-F and a 4.20-F capacitor are connected in series across a 25.0-V battery. A 8.24-F capacitor is then connected in parallel across the 2.67-F capacitor. Determine the voltage across the 8.24-F capacitor.
Design a second-order band-pass IIR filter with center frequency of 200 Hz when the sampling frequency is 1000 Hz. In order to ensure the filter stability set the poles at 0.94 radial distant from the origin
A proportional controller for a rotating antenna has a gain Kp of 5 in-oz/deg. The antenna was initially pointing due south, but was then commanded to point southeast. What is the torque when the antenna gets to within 5o
how many roots of the following two polynomials are in the right half plane and left half plane P(s)= s^5 + 3s^4 + 5s^3 + 4s^2 + s + 3 P(s)= 3s^7 + 9s^6 + 6s^5 + 4s^4 +7s^3+ 8s^2+2s+6
What is the energy in joules stored in the capacitor below, The capacitor is shown with 10 volts on each side of it (plus on the left of the capacitor, - on the right), and C = 20 microfarads.
The frequency response of the circuit is then expressed as a voltage divider involving Zeq and R: 1) Rewrite the equation above in the form: 2)Derive expressions for K, w_n (the corner frequency of an additional zero in the numerator due to the resis..
The current in a 20 mH inductor is known to be i = 40 mA, t 0.
A substance expands from V1 = 1 ft3 to V2 = 6 ft3 in a constant-pressure process at 100 lbf/in2. The initial and final internal energies are U1 = 40 Btu and U2 = 20 Btu, respectively.
For a complex load of 100 + 25 j ohm. find the matching circuit consist of ideal capacitor and/or inductor to match the load to 50 ohm impedance at 500MHz. The solution should include circuit schematic and values of each component
After 10 min the process is stopped, and fresh water is poured into the tank at a rate of 8 gal/min, with the mixture again leaving at the same rate. Find the amount of salt in the tank at the end of an additional 10 min.
F(A,B,C,D)=Σ(0,2,3,4,6,7,10,11) and G(A,B,C,D)=Σ(0,4,8,9,10,11,12,13) Consider that the functions are to be implemented as part of the same circuit. Show k-maps that reduce the total number of gates needed. How many gates are required
determine whether a three-bit number, a3, a2, a1, is equal to another number, b3, b2, b1, or if it is greater than that number. (We do not need an output for less than.) a. Show how the 7485 would be connected to accomplish
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