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Resultant resistance, ladder type (2R1 = R2)

ÀÛ¼ºÀÚ Uploader : ppippi ÀÛ¼ºÀÏ Upload Date: 2018-09-13º¯°æÀÏ Update Date: 2018-09-13Á¶È¸¼ö View : 404

As shown in figure, there is a circuit where resistances R1 and R2 are connected in repetition. When R2 is twice
R1, the resultant resistance is calculated as below.

The rightmost two resistances R2 are in parallel connection, thus the resultant resistance
is R2/2, i.e. R1. Meantime, the resultant resistence and R1 are in series connection and, thus, the resultant resistance of these two is 2R1, i.e. R2.

Iterating the above, the resultant resistance of the entire circuit is obtained
as :

R = 2*R1


*** Âü°í¹®Çå[References] ***

R = 2*R1
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