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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’s charge?

Short Answer

Expert verified

The magnitude of the particle’s charge is5.6×10-11C

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 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=q4πεoR2 (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=4πε0R2E=2.00N/C0.50m28.99×109N.m2C2=5.6×10-11 C

Hence, the value of the charge is 5.6×10-11 C

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Most popular questions from this chapter

Figure 22-38ashows two charged particles fixed in place on an x-axis with separation L. The ratio q1/q2 of their charge magnitudes is . Figure 22-38bshows the xcomponentEnet,Xof their net electric field along the x-axis just to the right of particle 2. The x-axis scale is set by xs=30.0cm. (a) At what value ofx>0isEnet,x is maximum? (b) If particle 2 has charge -q2=-3e, what is the value of that maximum?

A charge (uniform linear density=9.0nC/m) lies on a string that is stretched along an xaxis fromx=0tox=3.0m. Determine the magnitude of the electric field atx=4.0mon the xaxis.

A disk of radius2.5cmhas a surface charge density of5.3μC/m2on its upper face. What is the magnitude of the electric field produced by the disk at a point on its central axis at distancez=12cmfrom the disk?

A charged cloud system produces an electric field in the air near Earth’s surface. A particle of charge −2.0×10−9Cis acted on by a downward electrostatic force of3.0×10−6Nwhen placed in this field. (a) What is the magnitude of the electric field? What are the (b) magnitude and (c) direction of the electrostatic Forcef→elon the proton placed in this field? (d)What is the magnitude of the gravitational forcef→gon the proton? (e) What is the ratioFel/Fgin this case?

In Fig. 22-65, eight particles form a square in which distanced=2.0cm. The charges are,q1=+3e, q2=+e, q3=−5e,q4=−2e, q5=+3e, q6=+e,q7=−5eand q8=+e. In unit-vector notation, what is the net electric field at the square’s center?
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