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A matel wire carries a current of one am...

A matel wire carries a current of one amp. How many electrons pass a point in the wire in one sec.

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To find out how many electrons pass a point in a metal wire carrying a current of 1 ampere in one second, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the relationship between current, charge, and time**: - The formula for electric current (I) is given by: \[ I = \frac{Q}{T} \] where \(I\) is the current in amperes, \(Q\) is the charge in coulombs, and \(T\) is the time in seconds. 2. **Calculate the charge (Q)**: - We are given that the current \(I = 1 \, \text{A}\) and the time \(T = 1 \, \text{s}\). - Rearranging the formula gives us: \[ Q = I \times T = 1 \, \text{A} \times 1 \, \text{s} = 1 \, \text{C} \] 3. **Determine the number of electrons in 1 coulomb**: - We know that 1 coulomb of charge is equivalent to the charge of approximately \(6.022 \times 10^{23}\) electrons (this is Avogadro's number). - The charge of one electron is approximately \(1.602 \times 10^{-19} \, \text{C}\). 4. **Calculate the number of electrons (n)**: - To find the number of electrons that correspond to 1 coulomb, we can use the formula: \[ n = \frac{Q}{e} \] where \(e\) is the charge of one electron. - Substituting the values, we have: \[ n = \frac{1 \, \text{C}}{1.602 \times 10^{-19} \, \text{C/electron}} \approx 6.242 \times 10^{18} \, \text{electrons} \] 5. **Final Answer**: - Therefore, the number of electrons passing a point in the wire in one second is approximately: \[ n \approx 6.24 \times 10^{18} \, \text{electrons} \]
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