Two very long coaxial cylindrical conductors are shown in cross-section above. T

Question

Two very long coaxial cylindrical conductors are shown in cross-section above. The inner cylinder has radius a = 2 cm and caries a total current of I1 = 1.2 A in the positive z-direction (pointing out of the screen). The outer cylinder has an inner radius b = 4 cm, outer radius c = 6 cm and carries a current of I2 = 2.4 A in the negative z-direction (pointing into the screen). You may assume that the current is uniformly distributed over the cross-sectional area of the conductors. What is Bx, the x-component of the magnetic field at point P which is located at a distance r = 5 cm from the origin and makes an angle of 30o with the x-axis?

Explanation / Answer

at P, B= mu*I1/2*pi*0.05 - mu*i2*pi*0.0011/2*pi*0.002*0.05 =-11.79 uT ............... so Bx=B cos 30 =-10.21 uT

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