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A long coaxial cable consist of two thin-walled conducting cylinders with inner radius 2 cm an outer radius 8 cm. the inner cylinder carries a steady current 0.1 A, and the outer cylinder provides the return path for that current. The current produces a magnetic field between the two cylinders. Find the energy stored in the magnetic field for length 5 m of the cable. Express answer in nJ (use In2=0.7)



Question ID - 154089 | SaraNextGen Top Answer

A long coaxial cable consist of two thin-walled conducting cylinders with inner radius 2 cm an outer radius 8 cm. the inner cylinder carries a steady current 0.1 A, and the outer cylinder provides the return path for that current. The current produces a magnetic field between the two cylinders. Find the energy stored in the magnetic field for length 5 m of the cable. Express answer in nJ (use In2=0.7)

1 Answer
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Answer Key / Explanation : (7) -

(7)

The magnetic field inside is only due to current of the inner cylinder

 Magnetic field energy density is not uniform in the space between the cylinder. At a distance  from the centre

Energy in volume of element (length )

Using values, we get  nJ

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