### Question:**Three resistors in parallel have an equivalent resistance of 5.0 Ω. Two of the resistors have resistances of 20 Ω and 40 Ω.**#### Part A**What is the resistance of the third resistor?***Express your answer with the appropriate units.*```R = [Value] [Units][Submit Button] [Request Answer][Provide Feedback]```### Explanation:In this problem involving resistors in parallel, you are given two resistor values and the equivalent resistance of the circuit. You need to determine the resistance of the third resistor.#### Steps to Solve:1. **Identify the Information Given:** - Equivalent resistance \( R_{eq} = 5.0 \, \Omega \) - Resistance of the first resistor \( R_1 = 20 \, \Omega \) - Resistance of the second resistor \( R_2 = 40 \, \Omega \) 2. **Apply the Formula for Parallel Resistors:** \[ \frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} \] 3. **Input Known Values:** \[ \frac{1}{5.0} = \frac{1}{20} + \frac{1}{40} + \frac{1}{R_3} \] 4. **Calculate \( \frac{1}{R_3} \):** - Calculate the sum on the right-hand side for the known resistors: \[ \frac{1}{20} + \frac{1}{40} = \frac{2 + 1}{40} = \frac{3}{40} \] - Substitute and solve for \( \frac{1}{R_3} \): \[ \frac{1}{5.0} = \frac{3}{40} + \frac{1}{R_3} \] \[ \frac{1}{R_3} = \frac{1}{5.0} - \frac{3}{40} \]5. **Simplify the Calculation:** - Find a common denominator and perform the subtraction: \[ \frac{1}{5.

Answered: Image /qna-images/answer/67278e5a-ae86-4ead-9445-67b08180c246.jpg

Three resistors in parallel have an equivalent resistance of 5.0 2. Two of the resistors have resistances of 20 2 and 40 N. ▼ Part A What is the resistance of the third resistor? Express your answer with the appropriate units. μÃ ? R= Value Units Submit Provide Feedback Request Answer

Three resistors in parallel have an equivalent resistance of 5.0 2. Two of the resistors have resistances of 20 2 and 40 N. ▼ Part A What is the resistance of the third resistor? Express your answer with the appropriate units. μÃ ? R= Value Units Submit Provide Feedback Request Answer

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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