ii. Find the tension force along the -axis in the middle of the tube (i. · OlympiadBench #1165

Physics · electromagnetism

Problem

ii. Find the tension force

T

along the

z

-axis in the middle of the tube (i.e. the force by which two halves of the tube,

z>0

and

z<0

, interact with each other). Given constants: Part C. Magnetic straws Consider a cylindrical tube made of a superconducting material. The length of the tube is

l

and the inner radius is

r

with

l \gg r

. The centre of the tube coincides with the origin, and its axis coincides with the

z

-axis. <image_1> There is a magnetic flux

\Phi

through the central cross-section of the tube,

z=0, x^{2}+y^{2}<r^{2}

. A superconductor is a material which expels any magnetic field (the field is zero inside the material). Context question: i. Sketch five such magnetic field lines, which pass through the five red dots marked on the axial cross-section of the tube, on the designated diagram on the answer sheet. Context answer: <image_2>

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