An infinitely long cylinder of radius r = 2 cm carries a uniform charge density rho = 18 μc/m3. calculate the electric field at distance r = 1 cm from the axis of the cylinder?

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02-08-2022
Physics

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An infinitely long cylinder of radius r = 2 cm carries a uniform charge density rho = 18 μc/m3. calculate the electric field at distance r = 1 cm from the axis of the cylinder?

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aryanagarwal466 aryanagarwal466 · Answer 1 · 2022-08-06T02:41:02-04:00

The electric field at distance r = 1 cm from the axis of the cylinder is [tex]1.02*10^{4} N/C[/tex]

Electric Field= 2kρπr

Given,

Charge density(ρ)= 18 μc/m3.

radius = 1 cm = 0.01m

k=9*[tex]10^{9}[/tex]

Electric Field= 2kρπr=2*9*[tex]10^{9}[/tex]*18*[tex]10^{-6}[/tex] * π* 0.01= [tex]1.02*10^{4} N/C[/tex]

Electric Field

Physically, electrically charged particles are surrounded by an electric field, which acts to either attract or repel all other charged particles in the vicinity. A system of charged particles' physical field is also referred to in this phrase. Charges and time-varying currents in electric systems give rise to electric fields. The electromagnetic field—one of the four basic interactions of nature—exudes both electric and magnetic fields. Many branches of physics place a premium on electric fields, which are also used to great effect in modern electrical engineering. The attractive force holding the atomic nucleus and electrons together in an atom, for example, is the electric field in atomic physics and chemistry. The chemical bonds that form between atoms to form molecules are also caused by this force.