Chapter 5, Problem 5.102P

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.