RB=RAB⋅RBCRAB+RBC+RCAcap R sub cap B equals the fraction with numerator cap R sub cap A cap B end-sub center dot cap R sub cap B cap C end-sub and denominator cap R sub cap A cap B end-sub plus cap R sub cap B cap C end-sub plus cap R sub cap C cap A end-sub end-fraction
A common problem involves finding the equivalent resistance ( Reqcap R sub e q end-sub ) of a bridge or complex lattice circuit. Example: Reducing a Bridge Circuit Consider a bridge where a Delta network is formed by
To find the equivalent Star resistance connected to a specific terminal, multiply the two adjacent Delta resistors and divide by the sum of all three Delta resistors. star delta transformation problems and solutions pdf
RBC=RB+RC+RB⋅RCRAcap R sub cap B cap C end-sub equals cap R sub cap B plus cap R sub cap C plus the fraction with numerator cap R sub cap B center dot cap R sub cap C and denominator cap R sub cap A end-fraction
RAB=RA+RB+RA⋅RBRCcap R sub cap A cap B end-sub equals cap R sub cap A plus cap R sub cap B plus the fraction with numerator cap R sub cap A center dot cap R sub cap B and denominator cap R sub cap C end-fraction RB=RAB⋅RBCRAB+RBC+RCAcap R sub cap B equals the fraction
The Delta resistance between two terminals is the sum of the Star resistors connected to those terminals plus their product divided by the third resistor.
When a circuit presents a "dead-end" where no resistors are clearly in series or parallel, the Star-Delta (or When a circuit presents a "dead-end" where no
), then each Delta resistor is exactly three times the Star value ( 3. Step-by-Step Problem Solving
) transformation is often the only way to simplify it without reverting to complex Kirchhoff's Laws.
