Math Problem Statement
R1=1. R2=4/∏. Us the law (R1*R2)/(R1+R2). With steps
Solution
We are given the values and . The formula we need to use is:
Let's calculate this step by step.
Step 1: Multiply and
Step 2: Add and
Step 3: Find the equivalent resistance
Now we substitute these into the formula:
Step 4: Simplify the denominator
To simplify , express it as a single fraction:
Step 5: Final Simplification
Now substitute this into the equation for :
Thus, the equivalent resistance is:
This is the simplified form of the result.
Would you like me to provide more details or clarify any step?
Related Questions:
- What happens if ? How does it simplify?
- How would the result change if and are in series instead of parallel?
- Can this method be extended for three resistances?
- What if one of the resistances approaches zero?
- How does the formula change for resistances in complex circuits?
Tip:
In circuits, parallel resistances always result in a smaller overall resistance than the smallest individual resistor, while series resistances add up directly.
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Math Problem Analysis
Mathematical Concepts
Algebra
Electrical Circuits
Parallel Resistance
Formulas
Equivalent resistance in parallel: (R1 * R2) / (R1 + R2)
Theorems
Law of Parallel Resistance
Suitable Grade Level
Grades 9-12
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