Work done of charger of a battery

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SUMMARY

The discussion revolves around calculating the work done by a 4V battery charging a 2V battery in a circuit with a current of 2 Amperes. The work done by the entire circuit is calculated as 4 Joules using the formula Work = Voltage x Charge. The participants clarify that work should be distinguished from power, emphasizing the importance of using the correct dimensions in calculations. The conversation highlights common misunderstandings related to electrical work and current flow in battery circuits.

PREREQUISITES
  • Understanding of basic electrical concepts, including voltage and current.
  • Familiarity with the formula for calculating work in electrical circuits: Work = Voltage x Charge.
  • Knowledge of the relationship between current, charge, and time.
  • Basic principles of circuit theory, particularly regarding battery connections.
NEXT STEPS
  • Study the concept of electrical work and its distinction from power in circuits.
  • Learn about the implications of connecting batteries in series and parallel configurations.
  • Explore the effects of current direction on work done in battery circuits.
  • Investigate the principles of energy conservation in electrical systems.
USEFUL FOR

Students of electrical engineering, hobbyists working with battery circuits, and anyone interested in understanding the principles of electrical work and energy transfer in circuits.

FaroukYasser
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NEVER MIND! I realized my question is kind of stupid. Its night here and I am kind of sleepy. :))

Homework Statement


a battery of 4V is connected opposite to a battery of 2V to charge the 2V battery. assume the current running through the circuit to be 2 Ampere. What is the Work done by
1) the Whole circuit
2) By the 4V battery
3) by the 2V battery

Homework Equations


Work = Voltage x Charge

The Attempt at a Solution


1) I know that 2 A is 2 Columb/second. and since the two batteries are opposite the whole circuit work done is (4 - 2)V x 2 Columb = 4 J
2) for part 2 and 3 I am not sure I I should consider each battery by its own or what to do?
Also if we do do consider both, Isn't the current flowing in the 2V in the opposite direction of its positive terminal therefore makes it negative Work done! (work done is scalar)
a little clarification and a little help with the question would be really appreciated :))
Thanks
 
Last edited:
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Voltage x Charge doesn't give you the correct dimension. Voltage x Charge/time does. Charge/time is also known as current.
[edit] Oops :redface:, my mistake. Tooooo quick. Work is what you want, not power.
[edit2] Is this really the full text of the exercise ?
[edit3] Night here too; only now do I read the very first line... Oh well, :smile:
 
Last edited:
BvU said:
Voltage x Charge doesn't give you the correct dimension. Voltage x Charge/time does. Charge/time is also known as current.
[edit] Oops :redface:, my mistake. Tooooo quick. Work is what you want, not power.
[edit2] Is this really the full text of the exercise ?
[edit3] Night here too; only now do I read the very first line... Oh well, :smile:

Hahahahaha No problem man :D :D Sleepiness does more :)) :D
 

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