4) An infinitely long solid cylinder, of radius R, is made of a linear dielectric material...

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4) An infinitely long solid cylinder, of radius R, is made of a linear dielectric material of dielectric constant e and it is placed so that its axis remains at right angles to an otherwise uniform (external) electric field Eo. Find the resulting electric field inside. Note that, we take E as s to be our boundary condition far away from the axis of the cylinder. This means (by using the symmetry as well) outside solution V -(Eos) sin(o) as s o if we choose Eo in the y-direction. (Hint: one does not need the cos(no)-terms in the solution). 4) An infinitely long solid cylinder, of radius R, is made of a linear dielectric material of dielectric constant e and it is placed so that its axis remains at right angles to an otherwise uniform (external) electric field Eo. Find the resulting electric field inside. Note that, we take E as s to be our boundary condition far away from the axis of the cylinder. This means (by using the symmetry as well) outside solution V -(Eos) sin(o) as s o if we choose Eo in the y-direction. (Hint: one does not need the cos(no)-terms in the solution).