How to Determine the Rate at Which a Battery Stores Chemical Energy?

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SUMMARY

This discussion focuses on calculating the rate at which a battery stores chemical energy when charged by a generator with an e.m.f of 20V and internal resistance of 0.5 ohms. The car battery has an e.m.f of 12V and internal resistance of 0.10 ohms, connected in series with an adjustable resistance R to achieve a charging current of 2.0A. Key calculations include determining the value of R, the power of the generator, the total rate of dissipation of electrical energy, and the efficiency of the operation. The power flowing into the battery's emf section is crucial for calculating the rate at which the battery stores energy.

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  • Understanding of electrical circuits and components
  • Familiarity with Ohm's Law and power calculations
  • Knowledge of electromotive force (e.m.f) and internal resistance
  • Ability to interpret and create circuit diagrams
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  • Learn how to calculate power in electrical circuits using the formula P=VI
  • Study the principles of series circuits and their implications on current and voltage
  • Explore the concept of energy storage in batteries and related efficiency calculations
  • Investigate the role of internal resistance in battery performance and charging
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cyy91
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Homework Statement


a generator of e.m.f 20V and internal resistance of 0.5 ohm is used to charge a car battery of emf 12V and internal resistance 0.10 ohm.They are connected in series together with a resistance R whose value is adjusted to give a charging current of 2.0A.

I was asked to calculate
a) value of R
b) power of generator
c) total rate of dissipation of electrical energy
d) rate at which the battery stores chemical energy
e) efficiency of the whole operation

Homework Equations


P=VI
emf = I(R+r)

The Attempt at a Solution


i tried combining the 2 emfs and it sounds really funny, so i tried subtracting instead and still can't ring a bell.

How exactly can i calculate the rate at which a battery stores chemical energy?
anyone kindly provide me with an appropriate formula thanks.
better yet explain the whole question so i can answer other similar questions which caused me the same headaches...=S
 
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Hello cyy91

cyy91 said:
i tried combining the 2 emfs and it sounds really funny, so i tried subtracting instead and still can't ring a bell.

As a first step, draw out the diagram for this configuration. Seeing the diagram visually might make this problem seem a little easier.

How exactly can i calculate the rate at which a battery stores chemical energy?

You need to calculate the power flowing into the battery's emf section (hint: it involves the battery's emf and the current flowing through it [albeit in the reverse direction as normal] :wink:).

anyone kindly provide me with an appropriate formula thanks.
better yet explain the whole question so i can answer other similar questions which caused me the same headaches...=S

I think that once you start with the diagram, and work through what components are dissipating/using what power, things will fall into place. :cool:
 
collinsmark said:
Hello cyy91



As a first step, draw out the diagram for this configuration. Seeing the diagram visually might make this problem seem a little easier.



You need to calculate the power flowing into the battery's emf section (hint: it involves the battery's emf and the current flowing through it [albeit in the reverse direction as normal] :wink:).



I think that once you start with the diagram, and work through what components are dissipating/using what power, things will fall into place. :cool:

thx fr da help collinsmark...truly helps...:approve:
 

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