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Find out the surface charge density at the intersection of point x = 3 m plane and x-axis, in the region of uniform line charge of 8 nC/m lying along the z-axis in free space.

1. 0.424 nC m⁻²
2. 47.88 C/m²
3. 0.07 nC m⁻²
4. 4.0 nC m⁻²

Correct answer: 0.424 nC m⁻²

Solution

The surface charge density at the intersection of the specified plane and the x-axis can be calculated using the formula that relates line charge density to surface charge density, taking into account the geometry of the charge distribution. Given the uniform line charge of 8 nC/m, the resulting surface charge density at the specified point is 0.424 nC/m².

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