Solve diagonal resistance of resistor mesh.
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Solve diagonal resistance of resistor mesh.
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Approximate expression of diagonal resistance of x*x resistor mesh by Mathcad Prime 6.0.
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Approximate expression of diagonal resistance of x*x resistor mesh by Mathcad Prime 6.0.
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Approximate expression of diagonal resistance of (0,0)-(x,x) of infinity resistor mesh by Mathcad.
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The answers from 16x16 mesh to 30x30 mesh.
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4*4,5*5,6*6,7*7,8*8=
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Resistor mesh of 50x50
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Resistor mesh of 200x200. This is my limit of evaluation of Mathcad Prime 6.
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250x250
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Solve diagonal resistance of resistor 2*3 mesh. This is good question for university students.
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A. J. W. Duijvestijn, "SIMPLE PERFECT SQUARED SQUARES AND 2 x 1 SQUARED RECTANGLES OF ORDER 25" Math. Comp. 62 , pp. 325–332, 1994.
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R2D(10000*10000)=11.804
R2D(20000*20000)=12.687 ohm.
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Diagonal resistance of resistor mesh 50000x50000 is 13.854 ohm. 20 min. to solve the mesh.
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Now all 2D resistor mesh electric circuits are solved. Not only diagonal resistance but also any two point of nodes of the circuit.
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Diagonal resistance of Triangle resistor mesh of 1 ohm.
n=1 blue is 1*2/(1+2)=2/3 ohm.
n=2 green is 10/9 ohm.
n=3 red is 10/7 ohm.
Do you know the answer of n=4 ? The resistance of node (0,0) to (4,0).
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Maple with compiler to solve 2D resistor mesh problem.
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Resistor mesh of 60 nodes is made by Maple 2021. Resistance of node 1 to 31 is 17/11 ohm. The one of node 1 to 2 is 0.649 ohm. Not sure this is true or not but Mathcad can solve them.
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104/165 ohm, 764/1171 ohm, 58/95 ohm, 47/110 ohm.
Now can solve any node to node resistance for many Graph Theory functions. Pictures made by Maple 2021.
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Can you solve the (0,0)-(3,0) resistance?
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The one of 10*10.
The potential views of the one of 40*40 register mesh.
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