Chapter 10, Problem 7P

Consider the circuit diagram below. If four identical capacitors, each with a capacitance of 0.07 F, are used to smooth the output, what will the ripple voltage VR be? The diode forward bias voltage, VF, is found to be 0.5 V.  Note that the amplitude of v(t) is given in VRMS.

a) Find the complex power absorbed by the -j3 ohm  capacitor to 3 decimal points.b) Find the complex power absorbed by the 4 ohm resistor to 3 decimal pointsc) Find the complex power absorbed by the j5 ohm inductor to 3 decimal points.

I am looking for schematic ideas or recommendations for designing the required step-down system. Since the input is a 600V DC supply, a DC-DC converter may be necessary, as transformers are typically used for AC voltage. Key considerations would include: Voltage regulation: Ensuring a stable and consistent 120V DC output.Component selection: Choosing appropriate DC-DC converter modules, capacitors for filtering, and protective components such as fuses or circuit breakers.Lighting system: Recommendations on energy-efficient lighting options like LEDs, which work well with DC power and offer durability for railway applications.Thermal management: Addressing heat dissipation within the converter and lighting circuit.Safety and standards: Complying with safety regulations for electrical systems in railways. I would greatly appreciate detailed insights into the design process, including key circuit components and configurations, as well as any schematic diagrams or references.

1 2. For the following closed-loop system, G(s) = and H(s) = ½ (s+4)(s+6) a. Please draw the root locus by hand and mark the root locus with arrows. Calculate the origin and angle for asymptotes. b. Use Matlab to draw the root locus to verify your sketch. Input R(s) Output C(s) KG(s) H(s)

1. In the following unity feedback system, we have G(s) = R(s) + K(s + 1) s(s + 2)(s +5) G(s) C(s) use Routh-Hurwitz stability criterion to find the range of K for the stability of the system.

What is the current flowing through the load resistor, RL (in ARMS)? How much power does the voltage source, V1, provide to the circuit?  The magnitude of V1 is given in VRMS.

We wish to power an extremely bright light to communicate with a neighbor using morse code. We let the system run 24/7, but we swap out the battery every 24 hours for a fully charged one and recharge the drained battery with a solar charger. Based on the signal we are sending, the light draws 2.5 A of current for 2 seconds every 5 seconds. As well, the computer sending the signal to the light continuously draws 120 mA. A 12 V lead acid battery is used to provide the power. To preserve the longevity of the battery we wish to keep the lower limit of the SoC to 75%. (a) What is the minimum battery capacity in Ah required? (b) If a 60 W 12 V solar panel was used to recharge the battery, noting that we will keep the lower SoC to 75%, how many hours of adequate sunlight would be needed each day? (c) If the solar charger malfunctions, and we are forced to use one battery without recharging, what would the battery’s SoC be after 2 days?

1. In the following unity feedback system, we have G(s) = R(s) + K(s + 1) s(s + 2)(s +5) G(s) C(s) use Routh-Hurwitz stability criterion to find the range of K for the stability of the system.

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