Question

Find the equivalent resistance (detailed solution)

Answer 1

Hope it helps.

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Answer 2

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