Math Problem Statement
A circuit consists of two resistors in parallel. The total resistance of the parallel arrangement is 4Ω. If one of the resistors has a resistance of 12Ω, what will be the resistance of the other one?
Solution
To solve this problem, we need to use the formula for the total resistance of resistors in parallel:
Given:
We need to find .
Step-by-step solution:
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Substituting the values into the formula:
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Simplify :
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Math Problem Analysis
Mathematical Concepts
Electrical Circuits
Parallel Resistance
Reciprocal Calculations
Formulas
1 / R_total = 1 / R1 + 1 / R2
Theorems
Reciprocal Rule for Parallel Resistances
Suitable Grade Level
Grades 9-12
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