Math Problem Statement
Calculate the charge stored in coulombs when the charge stored is 1 Ah. Use the formula charge stored = current × time taken.
Solution
The question asks to calculate the charge stored in coulombs when the charge stored is 1 amp-hour (Ah). The formula provided is:
Step-by-Step Solution:
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Given Data:
- Charge stored = 1 Ah.
- 1 hour = seconds.
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Convert Amp-hours to Coulombs: 1 Ah means a current of 1 ampere sustained for 1 hour. To calculate the charge in coulombs:
Final Answer:
The charge stored in coulombs is:
Would you like further explanation or have additional questions?
Related Questions:
- How do you convert other values of amp-hours (e.g., 2 Ah, 0.5 Ah) into coulombs?
- Why is time converted to seconds in this calculation instead of using hours?
- What is the physical meaning of a "coulomb" in terms of electric charge?
- How does the formula change if the current is not constant over time?
- What is the relationship between power, charge, and energy in an electrical circuit?
Tip:
Always ensure the units in your calculations are consistent (e.g., time in seconds, current in amperes) to avoid errors.
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Math Problem Analysis
Mathematical Concepts
Unit conversion
Electric charge calculation
Formulas
Charge stored (C) = Current (A) × Time (s)
Theorems
Definition of charge (coulomb)
Suitable Grade Level
Grades 9-11