A charger with a source voltage of 38V is used to charge a battery with a source voltage of 31V. The battery consists of a total of 12 resistors connected in series, the resistance of each of which is 0.055 ohm, and one resistor whose resistance is 2.3 ohm. The current in the circuit is 2 A. At what power does the battery heat up during charging?
A charger with a source voltage of 38V is used to charge a battery with a source voltage of 31V. The battery consists of a total of 12 resistors connected in series, the resistance of each of which is 0.055 ohm, and one resistor whose resistance is 2.3 ohm. The current in the circuit is 2 A. At what power does the battery heat up during charging?
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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A charger with a source voltage of 38V is used to charge a battery with a source voltage of 31V. The battery consists of a total of 12 resistors connected in series, the resistance of each of which is 0.055 ohm, and one resistor whose resistance is 2.3 ohm. The current in the circuit is 2 A. At what power does the battery heat up during charging?
Expert Solution
Step 1: Determining the Total Resistance of the Battery
The battery has:
- 12 resistors of each connected in series.
- One resistor of .
When resistors are in series, their resistances add up.
Where: is the resistance of each of the 12 resistors and is the resistance of the 2.3 ohm resistor.
Let's plug in the values and compute .
The total resistance of the battery is .
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