If $R$ Is the Total Resistance of Three Resistors, Connected in Parallel

question 62

Multiple Choice

If $R$ is the total resistance of three resistors, connected in parallel, with resistances $R _ { 1 } , R _ { 2 } , R _ { 3 }$ , then
$$\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } + \frac { 1 } { R _ { 3 } }$$
If the resistances are measured in ohms as $R _ { 1 } = 30 \Omega , R _ { 2 } = 35 \Omega$ and $R _ { 3 } = 50 \Omega$ , with a possible error of $0.8 \%$ in each case, estimate the maximum error in the calculated value of $R$ .

• A) \(0.347 \Omega\)
• B) \(0.476 \Omega\)
• C) \(0.291 \Omega\)
• D) \(0.098 \Omega\)
• E) \(0.957 \Omega\)

---

Definitions:

Start Page

The initial screen or page displayed by a software application or browser upon launch, often customizable and providing navigation options.

Search Box

An input field on a website or software interface where users can type keywords to find specific information or items.

Highlight Articles

The act of emphasizing or marking articles with a visual indicator to signify importance or to facilitate easier reading.

Web Notes

Digital annotations or comments made on web pages, often used for reference or to highlight information.