An autonomous deep-sea research drone has a rechargeable lithium-ion battery pack. The battery pack is recharged via an umbilical cable connected to a support vessel's generator.
The battery charging voltage is 550 V550\text{ V}550 V.
State the amount of energy transferred when one coulomb of charge passes through a potential difference of 550 V550\text{ V}550 V.
Show that, when a charge of 72 000 C72\,000\text{ C}72000 C passes through the battery pack, the total amount of energy transferred to the battery pack is approximately 40 MJ40\text{ MJ}40 MJ.
During the recharging process, energy is also transferred to the umbilical cable and charger systems from the generator. Explain why the amount of energy transferred from the generator is greater than 40 MJ40\text{ MJ}40 MJ.
Recharging takes 50 minutes50\text{ minutes}50 minutes and causes a total charge of 72 000 C72\,000\text{ C}72000 C to pass through the battery pack.
State the equation linking charge, current and time.
Calculate the average charging current in the umbilical cable.
