   Chapter 4.1, Problem 71E Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516

Solutions

Chapter
Section Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516
Textbook Problem

Power The formula for the power output P of a battery is P = V I − R I 2 where V is the electromotive force in volts, R is the resistance in ohms, and Z is the current in amperes. Find the current that corresponds to a maximum value of P in a battery for which V = 12 volts and R = 0.5 ohm. Assume that a 15-ampere fuse bounds the output in the interval 0 ≤ I ≤ 15 . Could the power output be increased by replacing the 15-ampere fuse with a20-ampere fuse? Explain.

To determine

To calculate: The current that corresponds to a maximum value of P and if the power output can be increased by a 20-ampere fuse.

Explanation

Given:

V=12 volts, R=0.5 ohm.

A 15-ampere fuse bounds the output in the interval 0I15.

Formula used:

The formula for power output,

P=VIRI2

Calculation:

Consider the formula for power output,

P=VIRI2

Substitute V=12 volts, R=0.5 ohm in above equation.

That is.,

P=12I0.5I2

Differentiate the function with respect to I

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts 