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Battery Charging

In order to charge a battery there must be a potential difference between the charger and the battery,i.e.a charging voltage.As a battery is being charged this potential difference reduces and since the charging current is related to this charging voltage the rate of charging also reduces.

A battery is put on charge.The relationship between the charging current,i amperes,and the time,t hours passed,is given by this formula, i=3e to the power of-0.36t (cannot type in proper inequality symbols)

Q1: Construct a table showing the current for values of time between 0 and 9 hours at intervals of 1 hour.Hence draw a graph of i against t for 0 is smaller or equal to t is smaller or equal 9.(cannot type in proper inequality symbols)

Solution Preview

Please see the attached xls file, which can be opened by MicroSoft Excel. In case you don't know how to open it, I copied the table at the end. You may only need the first and final columns.

Notes:
1. e = 2.7183 (approximately)
2. "i=3e to the power of ...

Solution Summary

To draw a picture, pick t = 0, 1, 2, 3, ... , 8, 9 and the corresponding value of "i". Then you may get 10 dots, namely i=3.0 at t=0, i=2.0930 at t=1, and so on so forth.

Solution table is included in Excel.

$2.19