**Problem:** What are the largest and smallest resistances (in Ω) you can obtain by connecting a 30.0 Ω, a 54.0 Ω, and a 710 Ω resistor together?**Inputs:**- **Largest Resistance:** ____ Ω- **Smallest Resistance:** ____ Ω**Explanation:** To solve this problem, you need to consider two types of resistor configurations:1. **Series Configuration:** All resistors are connected end-to-end. The total resistance \( R_{\text{total}} \) is the sum of all resistances: \[ R_{\text{total}} = R_1 + R_2 + R_3 = 30.0 \, \Omega + 54.0 \, \Omega + 710 \, \Omega \]2. **Parallel Configuration:** All resistors are connected to the same two points. The formula for total resistance \( R_{\text{total}} \) in parallel is: \[ \frac{1}{R_{\text{total}}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} \] Solutions can be found by inputting values to complete the calculation.By calculating these two configurations, one can find the largest resistance (series) and the smallest resistance (parallel).

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What are the largest and smallest resistances (in 0) you can obtain by connecting a 30.0 0, a 54.0 0, and a 710 0 resistor together? largest smallest

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

**Problem:**
What are the largest and smallest resistances (in Ω) you can obtain by connecting a 30.0 Ω, a 54.0 Ω, and a 710 Ω resistor together?

**Inputs:**

- **Largest Resistance:**
____ Ω

- **Smallest Resistance:**
____ Ω

**Explanation:**
To solve this problem, you need to consider two types of resistor configurations:

1. **Series Configuration:** All resistors are connected end-to-end. The total resistance \( R_{\text{total}} \) is the sum of all resistances:
\[
R_{\text{total}} = R_1 + R_2 + R_3 = 30.0 \, \Omega + 54.0 \, \Omega + 710 \, \Omega
\]

2. **Parallel Configuration:** All resistors are connected to the same two points. The formula for total resistance \( R_{\text{total}} \) in parallel is:
\[
\frac{1}{R_{\text{total}}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}
\]
Solutions can be found by inputting values to complete the calculation.

By calculating these two configurations, one can find the largest resistance (series) and the smallest resistance (parallel).

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