The cross section of a long coaxial cable is shown in the figure, with radii as

Question

The cross section of a long coaxial cable is shown in the figure, with radii as given. The linear charge density on the inner conductor is -38.7 nC/m and the linear charge density on the outer conductor is -60 nC/m. The inner and outer cylindrical surfaces are respectively denoted by A, B, C, and D, as shown. Find the radial component of the electric field at a point that is 39.8 mm from the axis to the nearest N/C.

The cross section of a long coaxial cable is shown in the figure, with radii as given. The linear charge density on the inner conductor is -38.7 nC/m and the linear charge density on the outer conductor is -60 nC/m. The inner and outer cylindrical surfaces are respectively denoted by A, B, C, and D, as shown. Find the radial component of the electric field at a point that is 39.8 mm from the axis to the nearest N/C 1 30 mm

Explanation / Answer

By application of Gauss law,

Electric field at the given point = 2 k lambdaenclosed /r

= 2*9e9*-38.7e-9/0.0398

   = - 17503 N/C away from center

Or 17503 N/C towards the center

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