Q1:Given the potential field, (V = x' y² + 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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Sheet No.1
Q1:Given the potential field, (V = x y² + 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 py.
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 ag +3 ay -6 a, V/m.
Q3: (a) The current density in a cylindrical conductor of radius 2mm
is:
J = 10°e-400r a: A/m²
Find the current through the cross section of the conductor.
(b) Derive the current continuity equation .
Q4: Find the work done in moving a point charge Q=2 µC from the
origin to (2, t/4 ,T/2), spherical coordinates, in the field:
-r/4
E= 5 e
ar + (10/rsin 0 )ao (V/m)
Q5: In a certain region, J = 3r? cos 0 ar - r² 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?
J32x'уа, + 4х?7'а, - 6х?yz a, , (2) J %3Dхуах+ y(z + 1)a,
Transcribed Image Text:Sheet No.1 Q1:Given the potential field, (V = x y² + 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 py. 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 ag +3 ay -6 a, V/m. Q3: (a) The current density in a cylindrical conductor of radius 2mm is: J = 10°e-400r a: A/m² Find the current through the cross section of the conductor. (b) Derive the current continuity equation . Q4: Find the work done in moving a point charge Q=2 µC from the origin to (2, t/4 ,T/2), spherical coordinates, in the field: -r/4 E= 5 e ar + (10/rsin 0 )ao (V/m) Q5: In a certain region, J = 3r? cos 0 ar - r² 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? J32x'уа, + 4х?7'а, - 6х?yz a, , (2) J %3Dхуах+ y(z + 1)a,
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