Q1:Given the potential field, (V = x' y? + 4 x y z) and a point p(10,10,10),find numerical values at point P:potential V, the electric field intensity E, the electric flux density D ,and volume charge density pv.

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Electromagnetic fields - Second course
Assist. Prof. Dr. Yasin Yousif
Sheet No.1
Q1:Given the potential field, (V =
x y? + 4 x y z) and a point
p(10,10,10),find numerical values at point P:potential V, the electric field
intensity E, the electric flux density D ,and volume charge density pv.
Q2:A)Show that no work is done in moving a 1 µc charge form the origin
to point (3,1,4)in an external electric field E = 7 ax +3 a, -6 a, V/m.
Q3: (a) The current density in a cylindrical conductor of radius 2mm
is:
J = 103e-400r
Find the current through the cross section of the conductor.
az A/m?
(b) Derive the current continuity equation .
Q4: Find the work done in moving a point charge Q=2 µC from the
origin to (2, a/4 ,„t/2), spherical coordinates, in the field:
E= 5 e
-r/4
ar + (10/rsin 0 )ao (V/m)
Qg: In a certain region, J = 3r² cos 0 ar - r sin 0 ao A/m, find the
current crossing the surface defined by 0 = 30°, 0 < 0 < 2n, 0<r< 2 m.
Q6 : For static (time-independent) fields, which of the following current
densities are possible?
J = 2x°yax + 4x²z²ay - 6x?yz az , (2) J = x y ax + y(z + l)ay
Transcribed Image Text:Electromagnetic fields - Second course Assist. Prof. Dr. Yasin Yousif Sheet No.1 Q1:Given the potential field, (V = x y? + 4 x y z) and a point p(10,10,10),find numerical values at point P:potential V, the electric field intensity E, the electric flux density D ,and volume charge density pv. Q2:A)Show that no work is done in moving a 1 µc charge form the origin to point (3,1,4)in an external electric field E = 7 ax +3 a, -6 a, V/m. Q3: (a) The current density in a cylindrical conductor of radius 2mm is: J = 103e-400r Find the current through the cross section of the conductor. az A/m? (b) Derive the current continuity equation . Q4: Find the work done in moving a point charge Q=2 µC from the origin to (2, a/4 ,„t/2), spherical coordinates, in the field: E= 5 e -r/4 ar + (10/rsin 0 )ao (V/m) Qg: In a certain region, J = 3r² cos 0 ar - r sin 0 ao A/m, find the current crossing the surface defined by 0 = 30°, 0 < 0 < 2n, 0<r< 2 m. Q6 : For static (time-independent) fields, which of the following current densities are possible? J = 2x°yax + 4x²z²ay - 6x?yz az , (2) J = x y ax + y(z + l)ay
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