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:

24 Hours

A duration period that consists of a full day, typically used to describe the total hours in a day.

Multiple Calendars

Various calendar systems or schedules that can be used simultaneously for organizing events.

Overlapping Items

Objects or elements that extend over and cover a part of another, often leading to visual clutter or data interpretation issues in various contexts.

Appointments

Scheduled meetings or events noted in a calendar application.