b) The following are the two Maxwell equations related to electrostatic ав V.Ď=p₁; VxĒ=-=0 ôt i) State the relationship between electric flux density, D and electric field intensity, E ii) Given that D = zr cos 2 C/m², calculate the charge density p, at (1,7/4,5) and the total charge Q enclosed by a cylinder of radius Im with -3

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b) The following are the two Maxwell equations related to electrostatic
OB
V. Ď=p₁ ; VxĒ=-=0
ôt
i) State the relationship between electric flux density, and electric field
intensity, E
ii) Given that D = zr cos² p2 C/m², calculate the charge densityp, at (1,7/4,5)
and the total charge Q enclosed by a cylinder of radius Im with -3≤ z ≤ 3m.
iii) State the mathematical expression that can be used to calculate the work
required to move a test charge Q from point P1 to point P2 through a static
electric field E.
c) Find the magnitude of the electric field at a point 0.05 m above the surface of a
solid metal sphere of radius 0.35 m carrying a net charge of 0.25nC.
Transcribed Image Text:b) The following are the two Maxwell equations related to electrostatic OB V. Ď=p₁ ; VxĒ=-=0 ôt i) State the relationship between electric flux density, and electric field intensity, E ii) Given that D = zr cos² p2 C/m², calculate the charge densityp, at (1,7/4,5) and the total charge Q enclosed by a cylinder of radius Im with -3≤ z ≤ 3m. iii) State the mathematical expression that can be used to calculate the work required to move a test charge Q from point P1 to point P2 through a static electric field E. c) Find the magnitude of the electric field at a point 0.05 m above the surface of a solid metal sphere of radius 0.35 m carrying a net charge of 0.25nC.
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