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A very long, uniformly charged cylinder has a radius of r and a linear charge density of λ. The electric field strength at a point P located a distance of d from the axis of the cylinder is given by:

(a) E = 2λ/(πr²)
(b) E = λ/(2πr)
(c) E = λ/(2πrd)
(d) E = λ/πε0r

1 Answer

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Final answer:

The electric field strength at a point P located a distance of d from the axis of a long, uniformly charged cylinder with radius r and linear charge density λ is given by E = λ/(2πε₀rd). None of the options given are correct.

Step-by-step explanation:

The electric field strength at a point P located a distance of d from the axis of a long, uniformly charged cylinder with radius r and linear charge density λ is given by:

E = λ/(2πε₀rd)

where ε₀ is the vacuum permittivity. This option is not given in the choices provided, so none of the given options are correct.

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