Convert delta to star if it opens up series combinations. Convert star to delta if it creates a parallel path.
Known fact for this unbalanced case? Actually here all three resistors in delta are equal: (R_\Delta = 18). So star = (R_Y = R_\Delta/3 = 6\Omega). The star center is a new node N. star delta transformation problems and solutions pdf
When converting from Star to Delta, the equivalent Delta resistors will be than the original Star resistors. Convert delta to star if it opens up series combinations
R31=R1R2+R2R3+R3R1R2cap R sub 31 equals the fraction with numerator cap R sub 1 cap R sub 2 plus cap R sub 2 cap R sub 3 plus cap R sub 3 cap R sub 1 and denominator cap R sub 2 end-fraction : If all Star resistors are equal ( RYcap R sub cap Y ), then the Delta resistors are 3. Solved Problem Examples Actually here all three resistors in delta are
In a balanced network, no need for complex arithmetic.
[ \boxedR_C = \fracR_BC \times R_CAR_AB + R_BC + R_CA ]
If a Star network has resistors ( R_A, R_B, R_C ), the equivalent Delta resistances are: