012 (part 1 of 3) 10.0 points A long, cylindrical wire of radius 4 mm is made of
ID: 1460020 • Letter: 0
Question
012 (part 1 of 3) 10.0 points A long, cylindrical wire of radius 4 mm is made of a material of resistivity 5.05 x 10^-7 ohm. m and carries a uniform current density J. The power dissipated per unit length in the wire is 4 W/m. What is the electric field inside the wire? Answer in units of N/C. 014 (part 3 of 3) 10.0 points An electron is a distance r = 3 a from the wire axis and has a velocity parallel to the wire axis with a speed one-tenth the speed of light. What is the magnitude of the force on the electron? (Answer in N.) Answer in units of N.Explanation / Answer
power = V^2/R
V = potential difference = E*L
R = resiatnce = rho*L/A
area = A = pi*r^2
P = V^2/(rho*L/A)
P = E^2*L*A/(rho)
P/L = E^2*A/rho
4 = E^2*pi*0.004^2/(5.05*10^-7)
E = 0.2005 N/C
+++++++
J = EA/rho
J = i/A
i = EA^2/rho
i = (0.2005*(pi*0.004^2)^2)/(5.05*10^-7) = 1 mA
B = uo*I/(2*pi*r)
Fb = q*v*uo*I/(2*pi*r)
Fb = (1.6*10^-19*(3*10^8/10)*4*pi*10^-7*0.001)/(2*pi*0.003)
Fb = 3.2*10^-19 N
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