An effectively infinite straight line has uniform positive charge density λ = 3.00 × 10^-9 C m⁻¹. Use a cylindrical Gaussian surface to determine the electric field at radial distance 0.055 m, then calculate its value.

Question

Accepted Answer

E = λ/(2πε₀r) = 980 N C⁻¹ outward Cylindrical symmetry makes E constant on the curved surface and gives zero flux through the end caps. Gauss's law gives E(2πrL) = λL/ε₀, hence E = λ/(2πε₀r). Using the stated values gives E = 980 N C⁻¹, radially outward.

Gaussian cylinder 10

An effectively infinite straight line has uniform positive charge density λ = 3.00 × 10^-9 C m⁻¹. Use a cylindrical Gaussian surface to determine the electric field at radial distance 0.055 m, then calculate its value.

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An effectively infinite straight line has uniform positive charge density λ = 3.00 × 10-9 C m⁻¹. Use a cylindrical Gaussian surface to determine the electric field at radial distance 0.055 m, then calculate its value.

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An effectively infinite straight line has uniform positive charge density λ = 3.00 × 10^-9 C m⁻¹. Use a cylindrical Gaussian surface to determine the electric field at radial distance 0.055 m, then calculate its value.