here is a current of 20 amperes in a copper wire of square metre area of cross-section. If the number of free electrons per cubic metre is then the drift velocity is:
Question
here is a current of 20 amperes in a copper wire of square metre area of cross-section. If the number of free electrons per cubic metre is then the drift velocity is:
Solution
The drift velocity (v) can be calculated using the formula:
I = nAvq
where: I = current (20 amperes) n = number of free electrons per cubic meter (8.5 x 10^28) A = cross-sectional area of the wire (1 square meter) q = charge of an electron (1.6 x 10^-19 coulombs)
Rearranging the formula to solve for v gives:
v = I / (nAq)
Substituting the given values into the formula gives:
v = 20 / ((8.5 x 10^28) * 1 * (1.6 x 10^-19))
Solving this equation will give you the drift velocity.
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