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

AI Thread Summary
To determine the rate at which a battery stores chemical energy, one must calculate the power flowing into the battery's emf section, which involves the battery's emf and the charging current. A visual diagram of the circuit configuration can aid in understanding the relationships between components. The internal resistances of both the generator and battery must be considered to accurately assess the total resistance in the circuit. Calculating the charging current and the power dissipation will clarify how energy is stored. Understanding these principles will help in solving similar problems effectively.
cyy91
Messages
8
Reaction score
0

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
 
Physics news on Phys.org
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:
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top