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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