The resistance 2 Ω, 4 Ω and 8 Ω are connected in parallel. Their equivalent resistance is a) 10 Ω b) 8/7 Ω c) 7.5 Ω<

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1. Answer:

   The answer to your question is the letter B. R = 8/7 Ω

   Explanation:

   Data

   R1 = 2 Ω

   R2 = 4Ω

   R3 = 8Ω

   To calculate the total resistance use the formula

            1/R = 1/R1 + 1/R2 + 1/R3

   -Substitution

            1/R = 1/2 + 1/4 + 1/8

   – Look for the Greatest common factor

                 2   4   8    2

                  1   2    4   2

                       1    2   2

                             1

   The GCF = 2 x 2 x 2 = 8

   -Sum up the fractions

                    1/2 + 1/4 + 1/8 = (4 + 2 + 1) / 8

                                           = 7/8

   -Find R

                  1/R = 7/8    then, R = 8/7 Ω

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