The charge cycle shown in Figure P2.4 is an example of a three-rate charge. The current is held constant at 30 mA for 6 h. Then it is switched to 20 mA for the next 3 h.

Find:

a. The total charge transferred to the battery.

b. The energy transferred to the battery.



Hint: Recall that energy w is the integral of power, or P = dw/dt.


a) Current is equal to therefore given the current and a duration of that current, the transferred charge can be calculated by the following equation:

A •t = C

The two durations should be calculated independently and then added together.



b) P=V•I, therefore, an equation for power can be found by multiplying the two graphs together.

First separate the voltage graph into three equations:

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