The figure illustrates a small sphere with a mass of \(1.5 \times 10^{-14}\) kg suspended in equilibrium between two parallel metal plates. This equilibrium is maintained by the interplay of electrostatic and gravitational forces. The distance between the plates is \(2.5 \times 10^{-2}\) meters, and the sphere located at point P has a positive charge of \(4.8 \times 10^{-19}\) C. The question posed is: What is the magnitude of the electric field between the plates?**Diagram:**- **Negative Plate:** Positioned at the top of the diagram.- **Positive Plate:** Positioned at the bottom of the diagram.- **Distance Between Plates:** The plates are separated by a distance of \(2.5 \times 10^{-2}\) m, as indicated by a double-headed arrow.**Options for the Magnitude of the Electric Field:**- \(8.4 \times 10^{4}\) N/C- \(3.1 \times 10^{5}\) N/C- \(4.8 \times 10^{4}\) N/C- \(2.2 \times 10^{5}\) N/CThe sphere at point P is shown in equilibrium, indicating that the electric force and the gravitational force are balanced. Determine the correct magnitude of the electric field by analyzing these forces.

The electric force on charge q in electric field E is FE = qE

The figure shows a small sphere of mass 1.5x10-14 kg held in equilibrium between two parallel metal plates by electrostatic and gravitational forces. If the plates are 2.5x10-² m apart and the sphere at P carries a positive charge of magnitude 4.8x10-19 C, what is the magnitude of the electric field between the plates?

The figure shows a small sphere of mass 1.5x10-14 kg held in equilibrium between two parallel metal plates by electrostatic and gravitational forces. If the plates are 2.5x10-² m apart and the sphere at P carries a positive charge of magnitude 4.8x10-19 C, what is the magnitude of the electric field between the plates?

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

The figure illustrates a small sphere with a mass of \(1.5 \times 10^{-14}\) kg suspended in equilibrium between two parallel metal plates. This equilibrium is maintained by the interplay of electrostatic and gravitational forces. The distance between the plates is \(2.5 \times 10^{-2}\) meters, and the sphere located at point P has a positive charge of \(4.8 \times 10^{-19}\) C. The question posed is: What is the magnitude of the electric field between the plates?

**Diagram:**

- **Negative Plate:** Positioned at the top of the diagram.
- **Positive Plate:** Positioned at the bottom of the diagram.
- **Distance Between Plates:** The plates are separated by a distance of \(2.5 \times 10^{-2}\) m, as indicated by a double-headed arrow.

**Options for the Magnitude of the Electric Field:**

- \(8.4 \times 10^{4}\) N/C
- \(3.1 \times 10^{5}\) N/C
- \(4.8 \times 10^{4}\) N/C
- \(2.2 \times 10^{5}\) N/C

The sphere at point P is shown in equilibrium, indicating that the electric force and the gravitational force are balanced. Determine the correct magnitude of the electric field by analyzing these forces.

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