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D Homework Chapter 18 x c | a Search WebSearch | instructior Homework Chapter 18 Save & Exit Question 3 (of 11) 3 10.00 points 1 out of 8 attempts Assistance A current of 9.6 A is carried by a copper wire of diameter 1.51 mm. If the density of the conduction electrons is 8.47 1G m, bow long does it take for a conduction electron to move 1.00 m along the wire? iew Hint View Que Show Me min Practice References eBook & Resources Chapter 18 Electric Section 03 Microscopic Current and Circuits View of Current in a Metal Tho Froo-Eléct

Explanation / Answer

I is the current

n is the number of charge carriers per unit volume

A is the cross sectional area

q is the charge of the charge carriers

v is the drift velocity

v = I / nqA

q is 1.6x10^-19 C (the charge of an electron)

I is 9.6A

A is r² =  d²/4 =  (0.00151)²/4 m2

n = (8.47x10^28) m-3

Stick the whole lot together...

v = I / nqA

= 3.96 x 10-4 m/s

By s = v x t

=>t = s/v = 1/(3.96 x 10^-4) = 2528 s

=>t = 42.13 minutes

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