An electric delivery van has a rechargeable battery pack. The battery is recharged by connecting it to a charging station.
The battery charging voltage is 415 V.
State the amount of energy transferred when one coulomb of charge passes through a potential difference of 415 V.
Show that, when a charge of 150 000 C150\,000\text{ C}150000 C passes through the battery, the total amount of energy transferred to the battery is about 62 MJ62\text{ MJ}62 MJ.
During the charging process, energy is also transferred to the charging station from the mains supply. Explain why the amount of energy transferred from the mains supply is more than 62 MJ62\text{ MJ}62 MJ.
Charging takes 100 minutes100\text{ minutes}100 minutes and causes a total charge of 150 000 C150\,000\text{ C}150000 C to pass through the battery.
State the equation linking charge, current and time.
Calculate the average charging current in the battery.
