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Chapter 13: Q18P (page 540)

An electron in a region in which there is an electric field experiences a force of magnitude 3.7×10-16N . What is the magnitude of the electric field at the location of the electron?

Short Answer

Expert verified

The magnitude of the electric field at the location of electron is 2.3×103N/C.

Step by step solution

01

Identification of given data

The given data can be listed below,

The electric force experienced by electron is,Fe=3.7×10-16N

02

Concept/Significance of electric force.

All charged particles are subject to an electric force. The electric force is responsible for a wide range of occurrences, like making your hair stand up on a cold, dry day, and causing your car to start.

03

Determination of the magnitude of the electric field at the location of the electron

The electric field related to the charge of electron is given by,

E⇀=F⇀qe

Here,F⇀is the magnitude of force and qis the magnitude of charge on the electron whose value is1.6×10-19C .

Substitute all the values in the above expression,

role="math" localid="1656914428005" E⇀=3.7×10-16N1.6×10-19C=2.3×103N/C

Thus, the magnitude of the electric field at the location of electron is 2.3×103N/C.

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Most popular questions from this chapter

A dipole is located at the origin and is composed of charged particles with charge+eand-e, separated by a distance 2×10-10malong the x axis. Calculate the magnitude of electric field due to this dipole at a location(0,3×10-8,0)m.

An electron is observed to accelerate in the +z direction with an acceleration of .6×1016m/s2. Explain how to use the definition of electric field to determine the electric field at this location, and give the direction and magnitude of the field.

A dipole is centered at the origin and is composed of charged particles with charge +2e and -2e, separated by a distance 7×10-10malong the y axis. The +2e charge is on the -y axis, and the -2echarge is on the +y axis. (a) A proton is located at<0,3×10-8,0>m. What is the force on the proton due to the dipole? (b) An electron is located at<-3×10-8,0,0>m. What is the force on the electron due to the dipole? (Hint: Make a diagram. One approach is to calculate magnitudes, and get directions from your diagram.)

A charged particle located at the origin creates an electric field of <-1.2×103,0,0>N/Cat a location <0.12,0,0>m. What is the particle’s charge?

Three nested hollow spheres have the same centre. The innermost sphere has the radius of 2 cmand carries a uniformly distributed charge of 6 nC(1 nC=1×10-9 C). The middle sphere has a radius of5 cm and carries a uniformly distributed charge of -4 nC. The outermost sphere has a radius of 10 cm and carries a uniformly distributed charge of 8 nC.(a) What is the magnitude of the electric field at a distance of 1 cmfrom the centre? (b)What is the magnitude of the electric field at a distance of 4 cmfrom the centre?(c) What is the magnitude of the electric field at a distance of 9 cmfrom the centre?
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