Three resistors with resistances R1 = 25.0 ?, R2 = 20.0 ? and R3 = 90.0 ? are pl

Question

Three resistors with resistances R1 = 25.0 ?, R2 = 20.0 ? and R3 = 90.0 ? are placed along the sides of a triangle as shown in circuit 1. What are the values of the resistances Ra, Rb and Rc that would provide an equivalent circuit as arranged in circuit 2?

SLOAI E SIU Map OCE apling earning TTTTTTTTT Three resistors with resistances R = 25.0 o, R; -20.0 0 and Rs = 90.0 o are placed along the sides of a triangle as shown in circuit 1. What are the values of the resistances R. R and R, that would provide an equivalent circuit as arranged in circuit 2? Number R-O Number R-IO a Number Circuit 1 Circuit 2 O) Hint O Previous Give Up & View Solution O Check Answer O Next Exit

Explanation / Answer

it is delta to star transform

it has standard procedure to covert as given below

Rb = R1R2/ (R1 + R2+ R3) = 25*20/(25+20+90) = 3.7037 ohm

Rc =R2R3/ (R1 + R2+ R3) =20*90/(25+20+90) =13.3333 ohm

Ra =R3R1/ (R1 + R2+ R3)= 90*25/(25+20+90) = 16.6667 ohm

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