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Chapter 22: Q5P (page 653)

A charged particle produces an electric field with a magnitude of2.0N/Cat a point that is50cmaway from the particle. What is the magnitude of the particle鈥檚 charge?

Short Answer

Expert verified

The magnitude of the particle鈥檚 charge is5.6脳10-11C

Step by step solution

01

The given data

a) The magnitude of the electric field,E=2.0N/C

b) The distance of the point from the particle,R=50鈥�cmor0.5m

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=q4蟺蔚oR2 (1)

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

03

Calculation of the charge of the particle

Using the formula of the electric field of equation (i) and the given data, we can get the charge of the particle as follows:

q=4蟺蔚0R2E=2.00N/C0.50m28.99脳109N.m2C2=5.6脳10-11鈥�C

Hence, the value of the charge is 5.6脳10-11鈥�C

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Most popular questions from this chapter

(a) What total (excess) charge qmust the disk in Fig. 22-15 have for the electric field on the surface of the disk at its center to have magnitude 3.0脳106N/C, the Evalue at which air breaks down electrically, producing sparks? Take the disk radius as.2.5cm (b) Suppose each surface atom has an effective cross-sectional area of0.015nm2. How many atoms are needed to make up the disk surface? (c) The charge calculated in (a) results from some of the surface atoms having one excess electron. What fraction of these atoms must be so charged?

A uniform electric field exists in a region between two oppositely charged plates. An electron is released from rest at the surface of the negatively charged plate and strikes the surface of the opposite plate, 2.0 cmaway, in a time1.5脳10-8s.. (a) What is the speed of the electron as it strikes the second plate? (b) What is the magnitude of the electric field?

Question: An electron enters a region of uniform electric field with an initial velocity of 40km/sin the same direction as the electric field, which has magnitude E =50N/C. (a) What is the speed of the electron 1.5nsafter entering this region? (b) How far does the electron travel during 1.5ns theinterval?

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.

Figure 22-25 shows four situations in which four charged particles are evenly spaced to the left and right of a central point. The charge values are indicated. Rank the situations according to the magnitude of the net electric field at the central point, greatest first.
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