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A long cylindrical volume contains a uni...

A long cylindrical volume contains a uniformly distributed charge of density `rho`. Find the electric field at a point P inside the cylindrical volume at a distance x from its axis (figure 30-E5) ,

Text Solution

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Charge on the cylinder of radius x
`= rho pi (x^2) h `
We know,
` oint E.ds = q/epsilon_0`
` E.2 pi xh = (pi rho (x^2) h /epsilon_0)
or `E= rhox / 2 epsilon_0`.
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