A coaxial cable is constructed from a central cylindrical conductor of radius r_

Question

A coaxial cable is constructed from a central cylindrical conductor of radius r_A = 1.30 cm carrying current I_A = 7.90 A in the positive x direction and a concentric conducting cylindrical shell with inner radius r_B = 14.0 cm and outer radius r_c = 15.0 cm with a current of 34.0 A in the negative x direction (see figure below). What are the magnitude and direction of the magnetic field at the following points? at point O, a distance of 10.0 cm from the center of the coaxial cable along the y axis at point magnitude direction P, a distance of 20.0 cm from the center of the coaxial cable along the y axis

Explanation / Answer

Here ,

IA = 7.90 A

rB = 14 cm

IB = 34 A

a) at point O

magentic field is due to current IA only

B = u0 * IA/(2pi * r)

B = 4pi *10^-7 * 7.90/(2pi * 0.10)

B = 1.58 *10^-5 T

the magentic field is 1.58 *10^-5 T

the direction of magentic field is in +z direction

b)

at the point 20 cm away

B = u0 * (IB - IA)/(2pi * r)

B = 4pi *10^-7 * (34 - 7.90)/(2pi * 0.10)

B = 5.221 *10^-5 T

the magentic field is 5.221 *10^-5 T

the direction of magnetic field is -ve z -direction

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