Coaxial Conducting cylinders located at r = 5 cm and r = 12 cm. The region between cylinders is filled with homogenous perfect dielectric with 4. If the inner cylinder is at 100V and the outer at OV, find (a) the location of the 20V equipotential surface; (b) the capacitance between the two cylinders. Note: The potential between cylinders satisfy Laplace's equation. V2V= V²V V²V = = a²v a²v 2² v + + дх² дуг дz2 1 ə Mo=4*10-7 H/m - av (r -) 1 0² rər (ar) + √² (20₂) +- 10 r² ar (1² av -) + a²v дz2 ər 1 ə r2sin0 ?0 av (sino) + де & 1/(36)* 10-⁹ F/m 1 0² r² sin²0 20² (Cartesian) (Cylindrical) (Spherical)

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Find the location of the 20V equipotential surface and the capacitance between cylinders satisfy laplace's equation
Coaxial Conducting cylinders located at r = 5 cm and r = 12 cm. The region between
cylinders is filled with homogenous perfect dielectric with 4. If the inner cylinder is at
100V and the outer at OV, find (a) the location of the 20V equipotential surface; (b) the
capacitance between the two cylinders.
Note:- The potential between cylinders satisfy Laplace's equation.
V²V
V²V
=
² ² 8²V
+ +
дх2 дуг дz2
10
rər
==
Mo=47*107H/m
av
(r. ər) +
10 av
др
V²V = √² Fr
1 0²
2²v
r²0² + az²
(202)
(r.²
+
1 Ə
r² sine de
(sine
av
o
=1/(36)*10-⁹ F/m
1 a²v
+r²sin²0 ز
(Cartesian)
(Cylindrical)
(Spherical)
Transcribed Image Text:Coaxial Conducting cylinders located at r = 5 cm and r = 12 cm. The region between cylinders is filled with homogenous perfect dielectric with 4. If the inner cylinder is at 100V and the outer at OV, find (a) the location of the 20V equipotential surface; (b) the capacitance between the two cylinders. Note:- The potential between cylinders satisfy Laplace's equation. V²V V²V = ² ² 8²V + + дх2 дуг дz2 10 rər == Mo=47*107H/m av (r. ər) + 10 av др V²V = √² Fr 1 0² 2²v r²0² + az² (202) (r.² + 1 Ə r² sine de (sine av o =1/(36)*10-⁹ F/m 1 a²v +r²sin²0 ز (Cartesian) (Cylindrical) (Spherical)
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