Respuesta :

jcherry99

Answer

3

Left resistance

These three resistances are in Parallel. Their fractions are added.

  • 1/4 + 1/6 + 1/12 = 1/R_left           Make everything out of 12s
  • 3/12 + 2/12 + 1/12 = 1/R_left      Add  
  • 6/12 = 1/R_left                           Reduce
  • 1/2 = 1/R_left                             Cross Multiply
  • 1*R_left = 2                                Simplify
  • R_left = 2                                  Answer for left

Right Resistance

  • 1/2 + 1/2 = 1/R_right                 Add reciprocals
  • 2/2 = 1/R_right                        Simplify  
  • 1 = 1/R_right                             Multiply both sides by R_right
  • R_right = 1

Answer

R_left + R_right = 2 + 1 = 3


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