If the terminals of a battery with zero internal resistance are connected across two identical resistors in series, the total power delivered by the battery is 8.00 W. If the same battery is connected across the same resistors in parallel, what is the total power delivered by the battery? (a) 16.0 W (b) 32.0 W (c) 2.00 W (d) 4.00 W (e) none of those answers
The total power delivered by the battery if it is connected across the two identical resistors in parallel.
Answer to Problem 1OQ
The total power delivered by the battery if it is connected across the two identical resistors in parallel is
Explanation of Solution
Write the expression for the current supplied by the battery when the two identical resistors are in series,
Here,
Write the expression for the total power delivered by the battery in series,
Here,
Substitute (I) in (II),
The two identical resistors connected in parallel, the potential difference across each resistor is
Write the expression for the power delivered to each resistor in parallel,
Here,
Write the expression for the total power delivered by the battery in parallel,
Here,
Substitute (IV) in (V),
Conclusion:
Substitute
Therefore, the total power delivered by the battery if it is connected across the two identical resistors in parallel is
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Chapter 21 Solutions
Principles of Physics: A Calculus-Based Text
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