8/28/2018. The Field Model. The Field Model. The Electric Field

Transcription

1 The Field Model The photos show the patterns that iron filings make when sprinkled around a magnet. These patterns suggest that space itself around the magnet is filled with magnetic influence. This is called the magnetic field. The concept of such a field was first introduced by Michael Faraday in Slide The Field Model A field is a function that assigns a vector to every point in space. The alteration of space around a mass is called the gravitational field. Similarly, the space around a charge is altered to create the electric field. Slide The Electric Field If a probe charge q experiences an electric force at a point in space, we say that there is an electric field at that point causing the force. The units of the electric field are N/C. The magnitude E of the electric field is called the electric field strength. Slide

2 An electron is placed at the position marked by the dot. The force on the electron is A. to the left. B. to the right. C. zero. D. There s not enough information to tell. QuickCheck Which is the correct electric field direction at the dot? E. None of these. Slide The Electric Field A charged particle with charge q at a point in space where the electric field is experiences an electric force: If q is positive, the force on the particle is in the direction of. The force on a negative charge is opposite the direction of. Slide

3 The Electric Field of a Point Charge Figure (a) shows charge q, and a point in space where we would like to know the electric field. We need a second charge, shown in figure (b), to serve as a probe fore the electric field. The electric field, shown in figure (c), is given by: Slide Example 1 What is the direction of the electric field in the regions shown below? Are there equilibrium points? Example 2 What are the strength and direction of the electric field 1.0 mm from a proton? What are the strength and direction of the electric field 1.0 mm from an electron? 3

4 Example 3 What are the strength and direction of an electric field that will balance the weight of a 1.0 g plastic sphere that has been charged to -3.0 nc? The Electric Field of a Point Charge If we calculate the field at a sufficient number of points in space, we can draw a field diagram. Notice that the field vectors all point straight away from charge q. Also notice how quickly the arrows decrease in length due to the inverse-square dependence on r. Slide Unit Vector Notation Figure (a) shows unit vectors pointing toward points 1, 2, and 3. Unit vector specifies the direction straight outward from this point. Figure (b) shows the electric fields at points 1, 2, and 3 due to a positive charge at the origin. The electric field points in the direction of the unit vector. Slide

5 The Electric Field of a Point Charge Using unit vector notation, the electric field at a distance r from a point charge q is: A negative sign in front of a vector simply reverses its direction. The figure shows the electric field of a negative point charge. Slide QuickCheck At which point is the electric field stronger? A. Point A. B. Point B. C. Not enough information to tell. Slide Example 4 Find the strength and direction of the electric field at the dots. 5

6 Example 5 - Find the electric field a) Find the field created by the individual charges. b) Can the principle of superposition be applied to find the net field? c) What is the net field? Example 5 - Find the electric field 6