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Chapter 22: Q6P (page 653)

What is the magnitude of a point charge that would create an electric field of1.00N/Cat points1.00 maway?

Short Answer

Expert verified

The magnitude of the point charge is1.11×10-10C

Step by step solution

01

The given data

a) The magnitude of the electric field,E=1.00N/C

b) The distance of the point from the particle,R=1 m

02

Understanding the concept of electric field 

Using the concept of the electric field at a given point, we can get its charge value from the given formula.

Formula:

The magnitude of the electric field,E=q4πεoR2 (1)

where R = The distance of field point from the charge, q = charge of the particle

03

Calculation of the charge of the point

Using the given data in equation (1), the magnitude of the charge of the point is given as follows:

q=4πεoR2E=1.00N/C1.00m28.99×109N.m2C2=1.11×10-10C

Hence, the value of the charge is 1.11×10-10C

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Most popular questions from this chapter

Figure 22-45 shows an electric dipole. What are the (a) magnitude and (b) direction (relative to the positive direction of the xaxis) of the dipole’s electric field at point P, located at distance,r>>d?

The potential energies associated with four orientations of an electric dipole in an electric field are (1)−5U0, (2)−7U0, (3)3U0, and (4)5U0, whereU0is positive. Rank the orientations according to (a) the angle between the electric dipole momentp→and the electric fieldE→and (b) the magnitude of the torque on the electric dipole, greatest first.

Two particles, each of positive charge q, are fixed in place on a yaxis, one aty=dand the other at.y=-d (a) Write an expression that gives the magnitude Eof the net electric field at points on the xaxis given by.x=ad (b) Graph Eversusαfor the range0<α<4. From the graph, determine the values ofαthat give (c) the maximum value of Eand (d) half the maximum value of E.

When three electric dipoles are near each other, they each experience the electric field of the other two, and the three-dipole system has a certain potential energy. Figure 22-31 shows two arrangements in which three electric dipoles are side by side. Each dipole has the same magnitude of electric dipole moment, and the spacing between adjacent dipoles is identical. In which arrangement is the potential energy of the three-dipole system greater?

In Fig. 22-41, particle 1 of charge q1 = -5.00q and particle 2 of charge q2=+2.00qare fixed to an xaxis. (a) As a multiple of distance L, at what coordinate on the axis is the net electric field of the particles zero? (b)Sketch the net electric field lines between and around the particles.
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