6 Using Gausss Law, find the electric field a distance r froma line o...

6. Using Gaussâ€™s Law, find the electric field a distance r from a line of positive...

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Physics

6. Using Gaussâ€™s Law, find the electric field a distance r froma line of positive charge of infinite length and a constant chargeper unit length Î». Draw a diagram, a Gaussian surface andcompletely prove your answer

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let us determine the electric field intensity E at a distance rfrom an infinite line of charge lying on the xaxis A smallportion of the infinite line of charge is shown in figure aThe charge is uniformly distributed and has a linear chargedensity Recall that the linear charge density is the chargeper unit length that is qL To determine the electric fieldwe must first draw a Gaussian surface The line of charge does havea cylindrical symmetry however Therefore we draw a cylindricalGaussiansurface of radius r and length L around the infinite line of chargeas shown in figure b Gausss law for the total flux emergingfrom the Gaussian cylinder 1The integral in Gausss law is over See Answer

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