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Solve diagonal resistance of resistor mesh.

SOLVED
ttokoro
Peridot

Solve diagonal resistance of resistor mesh.

 

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R(1*1)=1, R(2*2)=3/2. How about R(3*3),R(4*4) and R(5*5)?

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Accepted Solutions

Re: Solve diagonal resistance of resistor mesh.

Approximate expression of diagonal resistance of x*x resistor mesh by Mathcad Prime 6.0.

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18 REPLIES 18

Re: Solve diagonal resistance of resistor mesh.

May be it will help you!May be it will help you!

Re: Solve diagonal resistance of resistor mesh.

Approximate expression of diagonal resistance of x*x resistor mesh by Mathcad Prime 6.0.

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Re: Solve diagonal resistance of resistor mesh.

Approximate expression of diagonal resistance of (0,0)-(x,x) of infinity resistor mesh by Mathcad.

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Re: Solve diagonal resistance of resistor mesh.

The answers from 16x16 mesh to 30x30 mesh.

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Re: Solve diagonal resistance of resistor mesh.

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Re: Solve diagonal resistance of resistor mesh.

4*4,5*5,6*6,7*7,8*8=

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Re: Solve diagonal resistance of resistor mesh.

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Re: Solve diagonal resistance of resistor mesh.

Resistor mesh of 50x50

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Re: Solve diagonal resistance of resistor mesh.

Resistor mesh of 200x200. This is my limit of evaluation of Mathcad Prime 6. 

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Re: Solve diagonal resistance of resistor mesh.

250x250

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Re: Solve diagonal resistance of resistor mesh.

Solve diagonal resistance of resistor 2*3 mesh. This is good question for university students.

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Re: Solve diagonal resistance of resistor mesh.

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Re: Solve diagonal resistance of resistor mesh.

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Re: Solve diagonal resistance of resistor mesh.

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Re: Solve diagonal resistance of resistor mesh.

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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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Re: Solve diagonal resistance of resistor mesh.

R2D(10000*10000)=11.804

R2D(20000*20000)=12.687   ohm.

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Re: Solve diagonal resistance of resistor mesh.

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Diagonal resistance of resistor mesh 50000x50000 is 13.854 ohm. 20 min. to solve the mesh.

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Re: Solve diagonal resistance of resistor mesh.

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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