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A Current of 3A flows for 5 minutes, what charge is transferred?Group of answer choices0.6 Coulombs15 Coulombs900 Coulombs300 Coulombs

Question

A Current of 3A flows for 5 minutes, what charge is transferred?

Group of answer choices

  • 0.6 Coulombs
  • 15 Coulombs
  • 900 Coulombs
  • 300 Coulombs
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Solution

1. Break Down the Problem

We need to calculate the total charge (Q) transferred when a current (I) flows for a certain amount of time (t). The relationship between charge, current, and time is given by the formula:

Q=I×t Q = I \times t

2. Relevant Concepts

  • Current (I): This is the flow of electric charge, measured in Amperes (A).
  • Time (t): This is the duration for which the current flows, which must be in seconds for our calculation.
  • Charge (Q): This is the total electric charge transferred, measured in Coulombs (C).

3. Analysis and Detail

  • We have:
    • Current I=3A I = 3 \, \text{A}
    • Time t=5minutes=5×60seconds=300seconds t = 5 \, \text{minutes} = 5 \times 60 \, \text{seconds} = 300 \, \text{seconds}

Now, we can calculate the charge transferred using the formula.

Q=I×t=3A×300s Q = I \times t = 3 \, \text{A} \times 300 \, \text{s}

4. Verify and Summarize

Calculating the charge:

Q=3×300=900C Q = 3 \times 300 = 900 \, \text{C}

Thus, the total charge transferred when a current of 3A flows for 5 minutes is 900 Coulombs.

Final Answer

900 Coulombs

This problem has been solved

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