A semi-infinite straight line charge of uniform linear charge density λ occupies the negative x-axis, ending at the origin. Point P is at (0,a), a>0. The x-component of the electric field at P is:
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Question

A semi-infinite straight line charge of uniform linear charge density λ occupies the negative x-axis, ending at the origin. Point P is at (0,a), a>0. The x-component of the electric field at P is:

G1 Physics · Accepted Answer

For an element at (-s,0), dEₓ = kλ s ds/(s²+a²)³ᐟ². Therefore, Eₓ = kλ ∫₀^∞ s ds/(s²+a²)³ᐟ² = kλ/a.

A semi-infinite straight line charge of uniform linear charge density λ occupies the negative x-axis, ending at the origin. Point P is at (0,a), a&gt;0. The x-component of the electric field at P is:

A semi-infinite straight line charge of uniform linear charge density λ occupies the negative x-axis, ending at the origin. Point P is at (0,a), a>0. The x-component of the electric field at P is: