Two rings of radius R = 0.06 m are d = 0.1 m apart and concentric with a common horizontal x axis (the +x axis is towards the right). The ring on the left carries a uniformly distributed charge of +40nC, and the ring on the right carries a uniformly distributed charge of -40nC. The value of k is 9 × 10⁹ Nm²/C². What is the magnitude of the electric field due to the right ring at a location midway between the two rings? Answer in units of N/C.

Two rings of radius R = 0.06 m are d = 0.1 m apart and concentric with a common horizontal x axis (the +x axis is towards the right). The ring on the left carries a uniformly distributed charge of +40nC, and the ring on the right carries a uniformly distributed charge of -40nC. The value of k is 9 × 10⁹ Nm²/C². What is the magnitude of the electric field due to the right ring at a location midway between the two rings? Answer in units of N/C.

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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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

**Part 1 of 3**

Two rings of radius \( R = 0.06 \, \text{m} \) are \( d = 0.1 \, \text{m} \) apart and concentric with a common horizontal x-axis (the +x-axis is towards the right). The ring on the left carries a uniformly distributed charge of \( +40 \, \text{nC} \), and the ring on the right carries a uniformly distributed charge of \( -40 \, \text{nC} \).

The value of \( k \) is \( 9 \times 10^9 \, \text{Nm}^2/\text{C}^2 \).

**Question:** What is the magnitude of the electric field due to the right ring at a location midway between the two rings?

*Answer in units of \(\text{N/C}\).*

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**Part 2 of 3**

Denote the magnitude of the electric field at the middle due to the left ring by \( E_1 \), that due to the right ring by \( E_2 \). Compare \( E_1 \) and \( E_2 \). Which of the following relations represents the correct choice?

Options:
1. \( E_1 = E_2 \)
2. \( E_1 > E_2 \)
3. \( E_1 < E_2 \)

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**Part 3 of 3**

What is the net electric field at a location midway between the two rings?

Options:
1. \( E_{\text{net}} = E_1 + E_2 \)
2. \( E_{\text{net}} = -E_1 + E_2 \)
3. \( E_{\text{net}} = E_1 - E_2 \)
4. \( E_{\text{net}} = -E_1 - E_2 \)

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