A very long cylindrical conductor with radius a = 2 cm has inside it a cylindrical cavity with radius b=0.3 cm, which is also very long. The axes of the two cylinders are parallel and distant d = 1 cm. A uniformly distributed current i = 20 A flows in the conductor. Prove that the magnetic field B inside the cavity is constant, by calculating

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A very long cylindrical conductor with radius a = 2 cm has inside it
a cylindrical cavity with radius b=0.3 cm, which is also very long.
The axes of the two cylinders are parallel and distant d = 1 cm. A
uniformly distributed current i = 20 A flows in the conductor. Prove
that the magnetic field B inside the cavity is constant, by calculating
its magnitude and direction. Also calculate the magnetic energy
per unit length of conductor and the inductance per unit length of
conductor.
41/52
Transcribed Image Text:A very long cylindrical conductor with radius a = 2 cm has inside it a cylindrical cavity with radius b=0.3 cm, which is also very long. The axes of the two cylinders are parallel and distant d = 1 cm. A uniformly distributed current i = 20 A flows in the conductor. Prove that the magnetic field B inside the cavity is constant, by calculating its magnitude and direction. Also calculate the magnetic energy per unit length of conductor and the inductance per unit length of conductor. 41/52
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