A very large non-conducting slab of thickness d contains uniform volume charge density ρ. At a point P inside it, a distance x from its central plane, the field is E₁.The same charged material is rolled to form a very large solid cylinder. At a point P′ inside the cylinder, a distance x from its axis, the field is E₂.The ratio E₁/E₂ is:
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Question

A very large non-conducting slab of thickness d contains uniform volume charge density ρ. At a point P inside it, a distance x from its central plane, the field is E₁.The same charged material is rolled to form a very large solid cylinder. At a point P′ inside the cylinder, a distance x from its axis, the field is E₂.The ratio E₁/E₂ is:

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G1 Physics · Accepted Answer

For a uniformly charged infinite slab, E₁ = ρx/ε₀. For a uniformly charged infinite solid cylinder, E₂ = ρx/(2ε₀). Therefore, E₁/E₂ = 2.