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:

Charge stored (in coulombs)=Current (in amperes)×Time (in seconds).\text{Charge stored (in coulombs)} = \text{Current (in amperes)} \times \text{Time (in seconds)}.

Step-by-Step Solution:

  1. Given Data:

    • Charge stored = 1 Ah.
    • 1 hour = 36003600 seconds.
  2. Convert Amp-hours to Coulombs: 1 Ah means a current of 1 ampere sustained for 1 hour. To calculate the charge in coulombs: Charge=1A×3600s=3600C.\text{Charge} = 1 \, \text{A} \times 3600 \, \text{s} = 3600 \, \text{C}.

Final Answer:

The charge stored in coulombs is: 3600C.\boxed{3600 \, \text{C}}.

Would you like further explanation or have additional questions?


Related Questions:

  1. How do you convert other values of amp-hours (e.g., 2 Ah, 0.5 Ah) into coulombs?
  2. Why is time converted to seconds in this calculation instead of using hours?
  3. What is the physical meaning of a "coulomb" in terms of electric charge?
  4. How does the formula change if the current is not constant over time?
  5. 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