Given a series RLC circuit with L=1 mH and C=1 µF, determine the value of R that will yield a critically-damped response. Show your work.

GENERAL RLC CIRCUITS: Solve and show your solution completely. Make sure your answers are in 4 decimals places. A 400 mH coil of negligible resistance is connected to an AC circuit in which an effectivecurrent of 6 mA is flowing. Find out the voltage across the coil if the frequency is 1000 Hz.

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…

Differential equation Find the steady-state current in an LRC circuit when L =1/2h, R = 20Ω, C = 0.001f and E(t) = 100 sen 60t 200 cos 40tV.

Exercise 3: Plotting two signals together (Matlab function: hold) Plot the following sinusoidal and exponential signals together between 0 to 8ms with step size le-5. x(t)=, a=(S1+S2)/1e4 fo2 = (270+K2) Hz, K2=(S1+S2)/1e6 02 Hint: Some helpful commands Definition of x (t) %% X=exp (-a*T) ; Definition of y(t) %% Y=cos (2*pi*fo.*T-pi/4) ; plot (T, X, 'k', 'linewidth', 2); hold; plot (T, Y, 'r-. ', 'linewidth', 2); hold; 1 0.8 0.6 0.4 0.2 受。 -0.2 -0.4 -0.6 -0.8 -1 0 x(t)=exp(-at),y(t)=cos(wt-pi/4), a=722.22 fo=277.22 1 2 3 4 Time (seconds) 5 6 7 8 X10-3

The series RLC circuit of Figure Q3 contains a resistor of R=202, an inductor of L=10MH and a capacitor of C=600µF. The supply is 24V, 50HZ. R L C Figure Q3 Using your calculated current that flows through the circuit of Figure Q3, calculate the following: The voltage across the inductor (magnitude and angle) The voltage across the capacitor (magnitude and angle). Determine the resonant frequency. At resonance, what is the total impedance of the circuit? A three-phase balanced load of phase impedance with magnitude 200 Q and power factor 0.5 is connected in delta. This load is connected to a 420 V (line voltage), 50 Hz, 3-phase supply. Calculate: The magnitude of the phase voltage, The load phase angle The magnitudes and phase angles of each load current. (The angle of phase voltage 1 = 25°)

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