Friday, March 23, 2012

Two current divider rules

Wikipedia has the following current divider rule

IX=RTRX+RT×IT

where as certain websites have the following rule:

IX=RtotalRX×IT

where

1Rtotal=1RX+1RT

for two resistors, this simplifies to

Rtotal=RX×RTRX+RT

These two rules are equal:

IX=IT×RtotalRX=IT×Rtotal×1RX=IT×RX×RTRX+RT×1RX=IT×RTRX+RT

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