Solve the Problem $R$ Produced by Wiring Resistors Of $R _ { 1 }$

question 37

Multiple Choice

Solve the problem.
-The resistance $R$ produced by wiring resistors of $R _ { 1 }$ and $R _ { 2 }$ ohms in parallel can be calculated from the formul $\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } .$
If $R _ { 1 }$ and $R _ { 2 }$ are measured to be 10 ohms and 6 ohms respectively and if these measurements are accurate to within $0.05$ ohms, estimate the maximum possible error in computing R.

• A) 0.032
• B) 0.016
• C) 0.021
• D) 0.027

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Definitions:

Epithelial

Relating to epithelium, a tissue composed of a layer of cells that line the surfaces and cavities of organs and vessels throughout the body.

Connective

Referring to connective tissue, which supports, binds together, and protects tissues and organs in the body.

Nerve

A bundle of fibers that transmits electrical impulses between the brain and parts of the body, facilitating communication and response.

LLQ

Stands for Left Lower Quadrant, referencing a section of the abdomen that is useful in identifying sources of pain or disease.