Three resistors with resistances R1 = 57.0 ?, R2 = 18.0 ? and R3 = 32.0 ? are pl

Question

Three resistors with resistances R1 = 57.0 ?, R2 = 18.0 ? and R3 = 32.0 ? 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?

889/1 CakculatorPeriodic T alcuato Quetion 3o115 Three resistors with resistances R1-570 Rz-18.0 and R3-32.0 are placed along the sides of a triangle as shown in circuit 1. What are the values of the resistances R, R and Re that would provide an equivalent circuit as arranged in circuit 2? Number Number Number Circuit 2

Explanation / Answer

Ra = Rb parallel Rc and then it is series with Ra

Ra = 32* 18/(32+18)   + 57

Ra = 68.52 ohms

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Rb = Ra Parallel Rc , then series with Rb

so

Rb = 57 * 32/(57+32) + 18

Rb = 38.49 ohms

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Rc = Ra parallel Rb ,series with Ra

Rc = 57* 18/(57+18) + 32

Rc = 45.68 ohms

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