Electric field and bounded charges on dielectric surfaces.

A uniformly charged straight wire of radius a carries linear charge density( lambda). The wire is coated with a linear dielectric material of susceptibility and external radius b.

a. Find electric field everywhere
b. Find the volume and surface bound charge densities

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A uniformly charged straight wire of radius a carries linear charge density( lambda). The wire is coated with a linear dielectric mateeerial of susceptibility and external radius b.

a. find electric field everywhere
b. Find the volume and surface bound charge densities

(The straight wire of radius a must be a conducting one as the linear charge density is given)

According to Gauss law the electric flux through a closed surface is where qi is the charge enclosed within the closed surface. The field strength at a point in the field is the flux per unit area normal to the surface.

The mathematical form of gauss theorem is given as

As we know that the charge remains on the outer surface of a conductor if we consider a cylindrical surface of radius r coaxial to the wire, such ...

Solution Summary

The solution gives electric field everywhere and the densities of the bound charges on the cylindrical dielectric layer on the long cylindrical wire having a liner charge density.

... at r=R c) Use Gauss' Law to find the electric field inside and ... E, D, and P to find the electric fields without using ... Thus, the bound surface charge density is: ...

... E_p is placed on the top surface of the charged box of question 2(a). i) Find the electric field inside the ... P on the z-axis iii) Find the bound volume and ...

... 13) P for changing electric fields; M for changing magnetic fields. ... In variable electromagnetic field, there are polarization current ∂P/∂t and ...

...Bounded charge density is examined for insulated material bombarded ... b. What is the bound charge density at the ... grounded, there is no electric field outside the ...

... metal object is placed in external electric field, the free ... in such a way that the net field inside the ... near inducing charge are called bound charges as the ...

... Thus, if we consider the plane surface bounded by the circle ... B = µ0I/2 Value of the electric field within the ... Hence, the value of the two fields within the ...

... (b) A dielectric slab (medium ... 0.5 − 0.4 ) = 0.3ε 0 . Similarly, the surface density of bound charge at the ... iv) The magnitude of the electric field does vary ...

... material in the region z < 0 (and r > R) can be obtained from the electric field: R P ... The bound surface charge on the surface of the dielectric is equal to. ...

... (b) Find the bound charge density on ... Draw a field line diagram showing the electric field everywhere ... infinite cylinder of radius a, with dielectric constant κ ...