Question
Download Solution PDFAccording to Gauss law, the electric field of an infinitely long straight wire is proportional to
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
Gauss’s Law:
- The total electric flux through a closed surface is 1/εo times the charge enclosed in the surface i.e.
- But we know that Electrical flux through a closed surface is:
Where, E = electric field, q = charge enclosed in the surface and εo = permittivity of free space.
EXPLANATION:
Electric field due to line charge:
- The electric field due to an infinitely long straight conductor is:
Where λ = linear charge density, r = radius of the cylinder, and εo = permittivity of free space.
- From the above equation, it is clear that the electric field of an infinitely long straight wire is proportional to 1/r. Hence option 2 is correct.
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