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An electron in a region in which there is an electric field experiences a force of ⟨ 8.0×10−17, −3.2×10−16, −4.8 × 10−16⟩ N. What is the electric field at the location of the electron?

Short Answer

Expert verified

The electric field at the location of electron is (-500,2000,3000)N/C .

Step by step solution

01

Identification of given data

The given data can be listed below,

The electric force experienced by electric field is,8.0×10-17,-3.2×10-16,-4.8×10-16N .

02

Concept/Significance of Electric field

An imaginary line of force between two points charges with opposing signs (+/-) is called an electric field. Because the carrier of the force is unseen, the lines are fictional.

03

Determination of the electric field at the location of the electron

The electric field at the location of electron is given by,

E=Fq

Here, F is the force experienced by electron and q is the charge on electron whose value is-1.6×10-19C.

Substitute all the values in the above,

role="math" localid="1656916434400" E=8.0×10-17,-3.2×10-16,-4.8×10-16N-1.6×10-19C=(-500,2000,3000)N/C

Thus, the electric field at the location of electron is (-500,2000,3000)N/C .

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Most popular questions from this chapter

In Figure 13.66 a proton at location A makes an electric field E→1at location B. A different proton, placed at location B, experiences a force F→1. Now the proton at B is removed and replaced by a lithium nucleus, containing three protons and four neutrons. (a) Now what is the value of the electric field at location B due to the proton? (b) What is the force on the lithium nucleus? (c) The lithium nucleus is removed, and an electron is placed at location B. Now what is the value of the electric field at location B due to the proton? (d) What is the magnitude of the force on the electron? (e) Which arrow in Figure 13.65 best indicates the direction of the force on the electron due to the electric field?

Two identical permanent dipoles, each consisting of charges +qand -qseparated by a distance s, are aligned along the xaxis, a distance rfrom each other, wherer≫s(Figure 13.75). Show all of the steps in your work, and briefly explain each step. (a) Draw a diagram showing all individual forces acting on each particle, and draw heavier vectors showing the net force on each dipole. (b) Show that the magnitude of the net force exerted on one dipole by the other dipole is this:

F≈14πε06q2s2r4

In a hydrogen atom in its ground state, the electron is on average a distance of about 0.5×10-10mfrom the proton. What is the magnitude of the electric field due to the proton at this distance from the proton?

Where could you place one positive charge and one negative

charge to produce the pattern of the electric field shown in Figure 13.58? (As usual, each electric field vector is drawn with its tail at the location where the electric field was measured.) Briefly explain your choices.

If the particle in Figure 13.62 is a proton, and the electric field E→1has the value localid="1656913137210" (2×104,2×104,0)N/C, what is the force F→2on the proton?

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