We have in a certain medium, a potential defined by V(x): Po a€o where po and "a" are constants. Calculate: - (1 - e-ax) i) The intensity of the electric field, E. ii) Find the potential difference between the points x=d and x=0. iii) If the permittivity of the medium is defined by <(x) = € oe ax, find the electric flux density, D, and the volume charge density, pv, in the region.

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We have in a certain medium, a potential defined by
Po
V(x) = - (1 - e-ax)
aeo
where po and "a" are constants. Calculate:
i) The intensity of the electric field, E
ii) Find the potential difference between the points x=d and
x=0.
iii) If the permittivity of the medium is defined by <(x) = € oe ax, find
the electric flux density, D, and the volume charge density, pv, in
the region.
iv) Find the energy stored in the region (0 < x <d), (0<y< 1), (0 <z
< 1).
Transcribed Image Text:We have in a certain medium, a potential defined by Po V(x) = - (1 - e-ax) aeo where po and "a" are constants. Calculate: i) The intensity of the electric field, E ii) Find the potential difference between the points x=d and x=0. iii) If the permittivity of the medium is defined by <(x) = € oe ax, find the electric flux density, D, and the volume charge density, pv, in the region. iv) Find the energy stored in the region (0 < x <d), (0<y< 1), (0 <z < 1).
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