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If a current of 450mA flows through a conductor for 0.2s, what is the number of electrons moving during this time?

a. 1.4 × 10^19 electrons
b. 2.4 × 10^19 electrons
c. 3.4 × 10^19 electrons
d. 4.4 × 10^19 electrons

User ClubbedAce
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Final answer:

The number of electrons moving through a conductor with 450mA of current for 0.2s, you must first convert the current to amps, find the total charge, and then divide it by the charge of an electron. The result is approximately 5.625 × 10^17 electrons, which doesn't match any of the provided answer options.

Step-by-step explanation:

To find the number of electrons moving through a conductor when a current of 450mA flows for 0.2s, we can follow these steps:

  1. First, we need to convert the current from milliamps to amps: 450mA = 0.450 A.
  2. Next, we calculate the total charge (Q) that has flown by multiplying the current (I) by the time (t): Q = I × t.
  3. Since Q = 0.450 A × 0.2 s, we get Q = 0.09 C (coulombs).
  4. Knowing the charge of an individual electron is approximately -1.60 × 10^-19 C, we can find the number of electrons by dividing the total charge by the charge of a single electron.
  5. Therefore, the number of electrons (n) is n = Q / e, where e is the charge of an electron.
  6. Finally, n = 0.09 C / 1.60 × 10^-19 C/electron ≈ 5.625 × 10^17 electrons.

However, none of the answer choices match this result, which implies there might be an error in the provided options or in the calculations.

User ICrazybest
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