Using finite difference method, determine potential and magnitude of electric field at free nodes in the potential system of figure (right-angled triangle), for the following conditions: a) h=2°m, using conventional gauss-seidel method. 10 kV b) h=2¢m, using improved gauss-seidel method. 5 kV c) h=1em, using conventional gauss-seidel F16 cm method. d) h=1m, using improved gauss-seidel method. 16 cm Notes: • In all conditions, assume that the initial guess for the potential of all free nodes is V; =0.5 kV. • Convergence tolerance for all conditions is ɛ = 104 Number of iterations should be specify for each part.

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Electrical Engineering
Using finite difference method, determine potential and magnitude of electric field at free
nodes in the potential system of figure (right-angled triangle), for the following conditions:
a) h=2°m, using conventional gauss-seidel
method.
10 kV
b) h=2°m, using improved gauss-seidel
method.
5 kV
c) h=1cm, using conventional gauss-seidel
16 cm
method.
d) h=1cm,
using improved gauss-seidel
method.
16 cm
Notes:
In all conditions, assume that the initial guess for the potential of all free nodes is
V; =0.5 kV.
• Convergence tolerance for all conditions is ɛ = 104
• Number of iterations should be specify for each part.
Transcribed Image Text:Using finite difference method, determine potential and magnitude of electric field at free nodes in the potential system of figure (right-angled triangle), for the following conditions: a) h=2°m, using conventional gauss-seidel method. 10 kV b) h=2°m, using improved gauss-seidel method. 5 kV c) h=1cm, using conventional gauss-seidel 16 cm method. d) h=1cm, using improved gauss-seidel method. 16 cm Notes: In all conditions, assume that the initial guess for the potential of all free nodes is V; =0.5 kV. • Convergence tolerance for all conditions is ɛ = 104 • Number of iterations should be specify for each part.
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