Decide the stability of the system, whose characteristic equation is given by S5 +254 +5S³ + 10s² + 4S+8=0
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- A postage stamp capacitor has the following color marks starting at the upper-left dot: black, orange, orange, black, silver, and white. What are the capacitance value and tolerance of this capacitor?Inductive Circuits Fill in all the missing values. Refer to the following formulas: XL=2fLL=XL2ff=XL2L Inductance (H) Frequency (Hz) Inductive Reactance ( ) 1.2 60 0.085 213.628 1000 4712.389 0.65 600 3.6 678.584 25 411.459 0.5 60 0.85 6408.849 20 201.062 0.45 400 4.8 2412.743 1000 40.841The figure below shows a simple RC circuit with a 3.30-μF capacitor, a 4.40-M resistor, a 9.00-V emf, and a switch. What are the following exactly 9.00 s after the switch is closed? (a) the charge on the capacitor 13.7204 UC (b) the current in the resistor 0.0110522 x Your response is off by a multiple of ten. HA (c) the rate at which the capacitor is storing energy μW (d) the rate at which the battery is delivering energy μW
- ISMA 3K un 3K un + Vs 7mH 3√1₂ Im mn SmH -+ 20 V t IMF Vc What is Vs. iz Ve at steady-state?One steradian represents .... .... ... (rad)^2 O degree O 2rad (rad)3 OSolve for the total capacitance of the circuit. Select one: a. 5.28 micro Farads b. 6.64 micro Farads c. 8.42 micro Farads d. 5.92 micro Farads
- For a given series RC circuit with resistance R= 50 ohm and capacitance C= 1.5uF connected to an ac voltage source of 60 V, 2500 Hz, then the magnitude of current through the circuit is Select one: a. 5.45A b. 3.45A c. 0.915A d. None of these1) convert to rectangular form. 2) Convert to polar form. Please show all work6. The waveform of the current in a 40mH inductor is shown in following Figure. Find the waveform of the inductor voltage. i(t) mA 4 10 -10 2 √141= -400 mu 400 md 400 mu -toomd 3 4 5 cetelus istszus 2stc3ms 31+64thl 4steśms 6 t (ms)
- B R-2000 Q Consider the following RC circuit with an unkown capacitance C. In this circuit, the capacitor charges when the switch is connected to B and discharges through the resistor when the switch is connected to А. The voltage across the capacitor decreases with time when the capacitor discharges. The following table shows the voltage across the capacitor from t = 1s to t= 10s during its discharge in an RC circuit experiment. t (s) 1 2 | 3 4 7 9 10 V(V) 9.4 7.31 5.15 3.55 2.81 2.04 1.26 0.97 0.74 0.58 Use Matlab/Octave to do the following: *In all graphs add title, legend and axis labels 1. Estimate the time at which the voltage V=5.0 V. 2. Estimate, using spline interpolation, the voltage V1 corresponding to 30 different values of time, t between 1 to 10s. 3. You can calculate the current in the circuit using Ohm’s law (I= V/R) at each time, 1 Using the interpolated voltage data in (2), calculate the current at each time. 4. From the current () versus time data in (3), calculate…a 20mH inductor draws a current of i(t) = 100 sin(100t). Find the voltage %3D equation 200 sin100t 200 cos100t 2000 sin100t 2000 cos100tThe current through a 50 mH inductor is given below. Use Ohm’s Law to find the voltage. Convert to polar form, find the impedance and complete the math, then convert back to the waveform at i1 = 7.5sin(2500t – 20°) mA and i2 = 5.9sin(200t + 40°) mA