Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

Consider a battery used to supply energy to a cellular phone. Construct a problem in which you determine the energy that must be supplied by the battery, and then calculate the amount of charge it must be able to move in order to supply this energy. Among the things to be considered are the energy needs and battery voltage. You may need to look ahead to interpret manufacturer's battery ratings in ampere-hours as energy in joules.

The supplied charge is 13500 C.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Principle and Formulas

The power supplied by a source to a circuit element :

$P = IΔV \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot (1)$

where $∆ V$ is the potential difference and is I the current across the element.

The power of a process is

$P = \frac{ΔE}{Δt} . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)$

where $∆ E$ is the change in energy and $∆ t$ is change in time.

Step 2: calculating battery supplied energy.

The Charger’s voltage output is: $ΔV = 5.0 V$

The rate of the battery is 3750 mA which means that it can produce a current of 3750 mA for 1 h.

The power supplied by the battery is found from Equation (1):

$P = IΔV$

Substitute for P from Equation (2):

$\frac{ΔE}{Δt} = IΔV$

Solve for $∆ E$ :

$ΔE = IΔVΔt$

Step 3: Calculation of the amount of charge supply

The energy supplied by the battery:

Substitute, 3750 mA for / 1 h for ${\rm{\Delta t}}$, and 5.0 for $∆ V$ :

$\begin{array}{rcl} ΔE & = & (3750 mA) (\frac{1 A}{1000 mA}) (5.0 V) (1 h) (\frac{3600 s}{1 h}) \\ = & 67500 J \end{array}$

Converting the ampere-hour rating into coulombs, the amount of charge it must be able to move in order to supply this energy is

$\begin{array}{rcl} q & = & (3750 mA) (\frac{1 A}{1000 A}) (1 h) (\frac{3600 s}{1 h}) \\ = & 13500 C \end{array}$

Therefore, the amount of charge to be supplied is 13500 C.

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College Physics (Urone)

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Short Answer

Step by Step Solution

Step 1: Principle and Formulas

Step 2: calculating battery supplied energy.

Step 3: Calculation of the amount of charge supply

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College Physics (Urone)

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Short Answer

Step by Step Solution

Step 1: Principle and Formulas

Step 2: calculating battery supplied energy.

Step 3: Calculation of the amount of charge supply

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