Q1/ Coaxial conducting cylinders are located atp 1 cm and p = 2 cm. The region between the cylinders is filled with a homogeneous perfect dielectric. If the inner cylinder is at 100 V and the outer at 0V, find: (a) V at p = 1.5 cm ; (b)E, meter length on the inner cylinder is 20 nC/m. max ; (c) the location of the 25V equipotential surface; (d) ER if the charge per

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Q1/ Coaxial conducting cylinders are located atp = 1 cm and p = 2 cm. The region between the cylinders is
filled with a homogeneous perfect dielectric. If the inner cylinder is at 100 V and the outer at 0V, find:
(a) V at p = 1.5 cm ; (b)E,
meter length on the inner cylinder is 20 nC/m.
max ; (c) the location of the 25V equipotential surface; (d) €r if the charge per
Q2/Let a filamentary current of 10 mA be directed from infinity to the origin on the positive x axis and then
back down to infinity on the negative z axis. Find H at p (0,1,0)
Q3/Given the current density J = 60 pa, A/m² in cylindrical coordinates: (a) Determine the magnetic field
H, where H varies with p only and has only a Ø component; (b) integrate J over the circular surface
p = 1, 0< Ø < 2n, z = 0, to determine the total current passing through that surface in the az direction;
(c) find the total current using a line integral around the circular path p = 1, 0< Ø < 2n, z = 0.
Transcribed Image Text:Q1/ Coaxial conducting cylinders are located atp = 1 cm and p = 2 cm. The region between the cylinders is filled with a homogeneous perfect dielectric. If the inner cylinder is at 100 V and the outer at 0V, find: (a) V at p = 1.5 cm ; (b)E, meter length on the inner cylinder is 20 nC/m. max ; (c) the location of the 25V equipotential surface; (d) €r if the charge per Q2/Let a filamentary current of 10 mA be directed from infinity to the origin on the positive x axis and then back down to infinity on the negative z axis. Find H at p (0,1,0) Q3/Given the current density J = 60 pa, A/m² in cylindrical coordinates: (a) Determine the magnetic field H, where H varies with p only and has only a Ø component; (b) integrate J over the circular surface p = 1, 0< Ø < 2n, z = 0, to determine the total current passing through that surface in the az direction; (c) find the total current using a line integral around the circular path p = 1, 0< Ø < 2n, z = 0.
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