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If a current of 100A is flowing through a wire, then find how many electrons per second pass through any cross-section of the wire?

Question

If a current of 100A is flowing through a wire, then find how many electrons per second pass through any cross-section of the wire?

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Solution

Sure, here's how you can calculate the number of electrons per second passing through any cross-section of the wire:

Step 1: Understand the concept The current flowing through a wire is actually a flow of electrons. The charge of one electron is approximately 1.6 x 10^-19 Coulombs.

Step 2: Use the formula for current The formula for current (I) is I = Q/t, where Q is the charge and t is the time. In this case, we know the current (I) is 100A (which is equivalent to 100 Coulombs per second), and we want to find out how many electrons (Q) pass through the wire in one second (t).

Step 3: Rearrange the formula to solve for Q We can rearrange the formula to solve for Q: Q = I * t. Substituting the given values, we get Q = 100A * 1s = 100 Coulombs.

Step 4: Calculate the number of electrons Since the charge of one electron is 1.6 x 10^-19 Coulombs, we can find the number of electrons by dividing the total charge by the charge of one electron: Q / charge of one electron = 100 Coulombs / 1.6 x 10^-19 Coulombs/electron = approximately 6.25 x 10^20 electrons.

So, approximately 6.25 x 10^20 electrons per second pass through any cross-section of the wire.

This problem has been solved

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