The electric field along the axis of a ring-shaped charge of total charge q distributed uniformly is given by E = where R is the radius of the ring and z is the distance from the center of the ring. The electric field at the center of the ring is zero and at great distances from the ring approaches zero. At a certain distance along the z-axis the electric field strength is maximum. What is the electric field strength at this point? 9 3√√3лE R² 9 2√√3лER² 9 5√√3 TER² q 6√√3лE R² qz 3/2 4лεo (z² + R²)³ 9 4√√3лER² 4₁

The electric field along the axis of a ring-shaped charge of total charge q distributed uniformly is given by E = where R is the radius of the ring and z is the distance from the center of the ring. The electric field at the center of the ring is zero and at great distances from the ring approaches zero. At a certain distance along the z-axis the electric field strength is maximum. What is the electric field strength at this point? 9 3√√3лE R² 9 2√√3лER² 9 5√√3 TER² q 6√√3лE R² qz 3/2 4лεo (z² + R²)³ 9 4√√3лER² 4₁

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

### Electric Field on the Axis of a Ring-Shaped Charge

The electric field along the axis of a ring-shaped charge of total charge \( q \) distributed uniformly is given by:

\[ E = \frac{qz}{4 \pi \epsilon_0 \left( z^2 + R^2 \right)^{3/2}} \]

where \( R \) is the radius of the ring and \( z \) is the distance from the center of the ring. The electric field at the center of the ring is zero, and at great distances from the ring, it approaches zero. At a certain distance along the z-axis, the electric field strength is maximum. What is the electric field strength at this point?

### Answer Choices

1. \( \frac{q}{3\sqrt{3} \pi \epsilon_0 R^2} \)
2. \( \frac{q}{2\sqrt{3} \pi \epsilon_0 R^2} \)
3. \( \frac{q}{5\sqrt{3} \pi \epsilon_0 R^2} \)
4. \( \frac{q}{6\sqrt{3} \pi \epsilon_0 R^2} \)
5. \( \frac{q}{4\sqrt{3} \pi \epsilon_0 R^2} \)

These are the potential answers to find the electric field strength at the point where the electric field is maximum along the z-axis.

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