Acylindrical wire of radius 1 mm is made of copper metal. assume that each copper atom in metallic copper has one mobile electron free to move and carry current. if one amp of current is flowing through this wire, a. what is the average drift speed of the electrons? (units m/s). b. how long would it take for an electron to drift through 100 meters of such wire?

(a). The drift velocity is .

(b). The time is

Explanation:

Given that,

Radius = 1 mm

Current = 1 A

Distance = 100 m

(a). We need to calculate the drift speed

Using formula of drift velocity

Where, i = Current

n = number density

e = charge on electron

A = area cross section

We know that,

The molar mass of copper is 63.55 g/mol.

The mass density is 8.96 g/cm³.

We need to calculate the number of density

Put the value into the formula

Put the value into the formula of drift velocity

(b). We need to calculate the time

Using formula of distance

Put the value into the formula

Hence, (a). The drift velocity is .

(b). The time is

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

answer( sicar );