A solid cylindrical conducting shell of inner radius a = 4.4 cm and outer radius

Question

A solid cylindrical conducting shell of inner radius a = 4.4 cm and outer radius b = 7.3 cm has its axis aligned with the z-axis as shown. It carries a uniformly distributed current I2 = 5.2 A in the positive z-direction. An infinite conducting wire is located along the z-axis and carries a current I1 = 3.6 A in the negative z-direction. What is By(P), the y-component of the magnetic field at point P, located a distance d = 26 cm from the origin along the x-axis as shown? T What is where the integral is taken along the dotted path shown in the figure above: first from point P to point R at (x,y) = (0.707d, 0.707d), arid then to point S at (x,y) = (0.6d, 0.6d). T-m 3) What is By(T), the y-component of the magnetic field at point T, Located at (x,y) = (-5.2 cm, 0), as shown? T

Explanation / Answer

1.

    B = mu*I/2pi*d

     = 2*10^-7*(52. -3.6) / 0.26

        = 1.23 x 10^-6 T

b)    B*pi/4*d     = 1.23 x 10-6 x pi / 4*0.26

         =3.72 x 10^-6 Tm

c)

5.2*(5.2^2 - 4.4^2) / (7.3^2 - 4.4^2)

= 1.54 1.18

B = 2*10^-7*(3.6 - 1.18) / 0.052   = 9.308 x 10^-6 T

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