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?

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter25: Surge, Spike, And Lightning Protection
Section: Chapter Questions
Problem 4RQ: If a voltage spike lasts for 1.5 nanoseconds, what is the frequency of the spike?
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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?

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