Math Problem Statement

battery supplies a current of 130,000A Calculate the charge flow from the battery in 5 minutes

Solution

To calculate the total charge that flows from the battery, we can use the formula:

Q=I×tQ = I \times t

Where:

  • QQ is the charge in coulombs (C)
  • II is the current in amperes (A)
  • tt is the time in seconds (s)

Given:

  • I=130,000AI = 130,000 \, \text{A}
  • t=5minutes=5×60seconds=300secondst = 5 \, \text{minutes} = 5 \times 60 \, \text{seconds} = 300 \, \text{seconds}

Now, we can plug these values into the formula:

Q=130,000A×300sQ = 130,000 \, \text{A} \times 300 \, \text{s}

Q=39,000,000CQ = 39,000,000 \, \text{C}

So, the total charge that flows from the battery in 5 minutes is 39,000,000 Coulombs (C).

Would you like a deeper explanation of any of these steps or have any further questions?

Here are some related questions for further practice:

  1. What is the definition of a coulomb?
  2. How do you convert time from minutes to seconds?
  3. What is the relationship between charge, current, and time?
  4. How does increasing the current affect the total charge over time?
  5. What would happen to the total charge if the current was doubled?

Tip: Always convert time into seconds when working with current and charge in the SI system to maintain consistency in the units.

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Math Problem Analysis

Mathematical Concepts

Electricity
Current and Charge
Basic Physics

Formulas

Q = I × t

Theorems

Relationship between charge, current, and time

Suitable Grade Level

Grades 9-12