a)Find the magnetic field at a distance of 0.4 cm from the center of the wire. b

Question

a)Find the magnetic field at a distance of 0.4 cm from the center of the wire.

b)Find the magnetic field at the surface of the wire.

c)Find the magnetic field at a point outside the wire 0.4 cm from the surface of the wire.

010 (part 1 of 3) 10.0 points A wire of radius 1 cm carries a current of 120 A that is uniformly distributed over its cross-sectional area. The permeability of free space is 4 Find the magnetic field at a distance of Answer in units of T 10'T-m/A. 0.4 cm from the center of the wire 011 (part 2 of 3) 10.0 points Find the magnetic field at the surface of the wire. Answer in units of T 012 (part 3 of 3) 10.0 points Find the magnetic field at a point outside the wire 0.4 cm from the surface of the wire. Answer in units of T

Explanation / Answer

by ampere law

B.ds = uo * Ienc

Ienc = (Aloop/Awire)*I = I*r^2/R^2

here r = 0.4 cm

R = 1 cm

B*2pir = uo*I * r^2/R^2

B = uo*I*r/(2pi*R^2)

B = 2 x 10^-7 x 120 x 0.4 x 10^-2 / (1 x 10^-2)^2

B = 9.6 x 10^-4 T

part b )

B = uoI/2pi*R

B = 2.4 x 10^-3 T

part c )

r = 0.4 + 1 = 1.4 cm

B = uo*I/2pi*r

B = 1.71 x 10^-3 T

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