Anonymous asked in Science & MathematicsEngineering · 1 month ago

Easy electrical circuits question, easy 10PTS!!!?

Determine the equivalent resistance of the circuit for R1 = R3 = R and R2 = R/2.

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1 Answer

  • 1 month ago
    Best Answer

    So you have R2 in parallel with R3. The equivalent resistance of resistors in parallel is:

    1/Rt = 1/R1 + 1/R2 + 1/R3... Or for two resistors, it is Rt = (R1 * R2)/(R1 + R2).

    So for this pair we have Rt = (R*R)/(R + R/2)

    Rt = R²/(1.5R) = R/1.5 = (1/1.5)R = 0.66667R

    Now add the single resistor in series. In series, Rt = R1 + R2 + R3...

    So we have R + 0.66666R = 1.666667R

    • derfram
      Lv 7
      1 month agoReport

      Yeah, my math is screwed up. Should be 1.3333R which is 4R/3

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