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현재 위치

Synthetic resistance, 3 squares + 1, symmetry

작성자 Uploader : atom 작성일 Upload Date: 2019-11-19변경일 Update Date: 2020-02-29조회수 View : 306

The value of all resistance is R (Ω). Obtain the resultant resistance between A and E in the circuit arranged as shown in the figure.

Since the potential of B, C, and D is the same by symmetry, connecting B and D points to the point C yield the same circuit.

Therefore, since the resistance connected to the C point and the resistance connected to the B and D points are in a parallel connection, the resistance connected between B and C is R/2 and the resistance ocnnected between D and C is R/3.

Then, the resultant resistance RT between A and E is :

RT = 2*(3R/2*4R/3)/(3R/2+4R/3) = 2*(12R^2/6)/(17R/6) = (24/17)R

*** 참고문헌[References] ***

RT = (24/17)*R

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변수명 Variable	변수값 Value	변 수 설 명 Description of the variable

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1st Step for All

현재 위치

Synthetic resistance, 3 squares + 1, symmetry

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