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A collection of molecules holding a charge of 12 Coulomb all pass through a hole in 3 seconds. What is the current (in amps) through the hole?

Question

A collection of molecules holding a charge of 12 Coulomb all pass through a hole in 3 seconds. What is the current (in amps) through the hole?

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Solution

1. ### Break Down the Problem

To find the current (I) through a hole given the charge (Q) and time (t), we need to use the formula for electric current, which is defined as the rate of flow of charge.

2. ### Relevant Concepts

The formula for electric current is: I=Qt I = \frac{Q}{t} where:

  • I I is the current in amperes (A)
  • Q Q is the charge in coulombs (C)
  • t t is the time in seconds (s)

3. ### Analysis and Detail

In this problem:

  • Q=12C Q = 12 \, \text{C}
  • t=3s t = 3 \, \text{s}

We can substitute these values into the formula to find the current.

4. ### Verify and Summarize

Perform the calculation: I=Qt=12C3s=4A I = \frac{Q}{t} = \frac{12 \, \text{C}}{3 \, \text{s}} = 4 \, \text{A}

Final Answer

The current through the hole is 4 Amperes (A).

This problem has been solved

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