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Charging a Battery The rate at which a battery charges isslower the closer the battery is to its maximum charge $C_{0}$ .The time (in hours) required to charge a fully dischargedbattery to a charge $C$ is given by$$t=-k \ln \left(1-\frac{C}{C_{0}}\right)$$where $k$ is a positive constant that depends on the battery.For a certain battery, $k=0.25 .$ If this battery is fully dis-charged, how long will it take to charge to 90$\%$ of its maxi-mum charge $C_{0} ?$

$t \approx .576$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 3

Logarithmic Functions

Oregon State University

McMaster University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

00:51

Charging a Battery The rat…

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The rate at which a batter…

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Use a calculator to solve …

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Discharging a Battery. The…

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this question were given. Equation T is equal to native k times the natural log of one minus e over C zero. So in this case, we're told, were asked of time it takes for storing battery, but is 0.9 or 0.25 is it's constant times the natural log of one minus are charge that we're going Don't worry like starting with, which is zero, which is 90%. So when you say 0.9 before a troll charge, which is 100%. And so then if it had under ka career, that will get us approximately zero point five 76 hours was her answer.

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