The formula for the power output P of a battery is P = VI - RI2, where V. is the electromotive force in volts, R is the resistance in ohms, and I is the current in amperes. Find the current that corresponds to a maximum value of P in a battery for which V = 10 volts and R = 0.5 ohm. amperes Assume that a 12-ampere fuse bounds the output in the interval 0 ≤IS 12. Could the power output be increased by replacing the 12-ampere fuse with a 16-ampere fuse? O Yes O No
The formula for the power output P of a battery is P = VI - RI2, where V. is the electromotive force in volts, R is the resistance in ohms, and I is the current in amperes. Find the current that corresponds to a maximum value of P in a battery for which V = 10 volts and R = 0.5 ohm. amperes Assume that a 12-ampere fuse bounds the output in the interval 0 ≤IS 12. Could the power output be increased by replacing the 12-ampere fuse with a 16-ampere fuse? O Yes O No
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The formula for the power output \( P \) of a battery is \( P = VI - RI^2 \), where \( V \) is the electromotive force in volts, \( R \) is the resistance in ohms, and \( I \) is the current in amperes. Find the current that corresponds to a maximum value of \( P \) in a battery for which \( V = 10 \) volts and \( R = 0.5 \) ohm.
\[ \text{______ amperes} \]
Assume that a 12-ampere fuse bounds the output in the interval \( 0 \leq I \leq 12 \). Could the power output be increased by replacing the 12-ampere fuse with a 16-ampere fuse?
- Yes
- No
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Transcribed Image Text:The formula for the power output \( P \) of a battery is \( P = VI - RI^2 \), where \( V \) is the electromotive force in volts, \( R \) is the resistance in ohms, and \( I \) is the current in amperes. Find the current that corresponds to a maximum value of \( P \) in a battery for which \( V = 10 \) volts and \( R = 0.5 \) ohm.
\[ \text{______ amperes} \]
Assume that a 12-ampere fuse bounds the output in the interval \( 0 \leq I \leq 12 \). Could the power output be increased by replacing the 12-ampere fuse with a 16-ampere fuse?
- Yes
- No
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