Magnetic Fields from Currents in a Wire and a Cylindrical Shell 12 3 4 5 A solid

Question

Magnetic Fields from Currents in a Wire and a Cylindrical Shell 12 3 4 5 A solid cylindrical conducting shell of inner radius a 5.8 cm and outer radius b = 8.4 cm has its axis aligned with the z-axis as shown. It carries a uniformly distributed current l2 = 7.6 A in the positive z-direction. An infinte conducting wire is located along the z-axis and carries a current 11 = 3.5 A in the negative z-direction. P(a,0) 1 1) What is ByP), the y-component of the magnetic field at point P, located a distance d 39 cm from the origin along the x axis as shown? I Sukwni

Explanation / Answer

part 1 )

integralB.dl = uo*ienc

B = uo*Ienc/2pid

Ienc = (I1 - I2)

B = -2x 10^-6 T ( +y direction)

part 2 )

integral B.dl from p to s = 45degree/360 * uo*ienc

B = uo*(I1-I2)/8

B = 6.44 x 10^-7 T-m

part 3 )

B = uo*(I1-I2)/2piT

I2 = pib^2 - pia^2

Iba = piT^2 - pia^2

By(t) = uo/2pi*T [I1 - I2((T^2-a^2)/(b^2-a^2))]

By(t) = 7.157 x 10^-6 T

part 4 )

integral B.dl from p to s =- 45degree/360 * uo*ienc

B = -6.44 x 10^-7 T-m

part 5 )

remains the same

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