Concept explainers
A car battery kept in storage in the basement needs recharging, lf he voltage and the current provided bythe charger during a charge cycle are shown in Figure P2.8,
a. Find the total charge transferred to the battery.
b. Find the total energy transferred to the battery.
(a)
The total charge transferred to the battery.
Answer to Problem 2.8HP
The total charge delivered to the battery is
Explanation of Solution
Calculation:
The given diagram for the battery voltage graph is shown below.
The given diagram is shown in Figure 1
The given diagram for the battery current is shown in Figure 2.
The current equation for the time interval
The current equation for the time interval
The current equation for the time interval
The conversion of
The conversion of
The conversion of
The conversion of c into
The charge delivered to the battery is given by,
Substitute
Conclusion:
Therefore, the total charge delivered to the battery is
(b)
The energy that is transferred to the battery.
Answer to Problem 2.8HP
The total energy delivered to the battery is
Explanation of Solution
Calculation:
The voltage equation of
The formula to calculate the energy is given by,
The energy delivered to the battery for the time period
Substitute
Substitute
Substitute
The formula for the total energy transferred to the battery is given by,
Substitute
Conclusion:
Therefore, the total energy delivered to the battery is
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Chapter 2 Solutions
Principles and Applications of Electrical Engineering
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