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A dipole is located at the origin and is composed of charged particle with charge +eand -e, separated by a distance 6×10−10″¾along the xaxis. The charge +eis on the +xaxis. Calculate the electric field due to this dipole at a location (0,−5×10−8,0)″¾ .

Short Answer

Expert verified

The electric field due to this dipole is (−6.912 N/°ä).

Step by step solution

01

Identification of given data

The given data can be listed below as,

  • The distance of separation between charged particles is, p=6×10−10​″¾.
  • The dipole location of charged particles is, r=−5×10−8″¾.
02

Significance of electric field 

An electric field is a way to show the characteristic of the electrical environment having charges in the particular system.The electric field in space at any point shows the force acted on the unit's positive charge if it is situated at that specific point.

03

Determination of electric field

The expression for the electric field is given as,

E=14πεoqpr3

Here,14πεo which is Coulomb’s constant and its value 9×109 Nâ‹…m2/C2, pis the distance through which charged particles are separated and its value is 6×10−10 â¶Ä‹m, qis the charge on electron and its value is 1.6×10−19 C, ris the location of charge from centre point and its value is −5×10−8″¾.

Substitute 9×109 Nâ‹…m2/C2for 14πεo, 6×10−10 â¶Ä‹mfor p, and −5×10−8″¾for r,1.6×10−19 Cfor q.

E=(9×109 Nâ‹…m2/C2 ) 1.6×10−19 C×6×10−10″¾(−5×10−8″¾)3E=−6912×10−3 N/°ä=−6.912 N/°ä

Thus, the electric field due to this dipole is −6.912 N/°ä.

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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 distance6×10-6 m along the y axis. The +echarge on -y axis. Calculate the force on a proton due to this dipole at a location(0,4×10-8,0) m .

If the charge of the point charge in Figure 13.60 were -9Q(instead of Q):

(a) By what factor would the magnitude of the force on the point charge due to the dipole change? Express your answer as the ratio (magnitude of new force / magnitude of FV).

(b) Would the direction of the force change?

At a particular location in the room there is an electric field <1000,0,0> N/C. Where would you place a single negative point particle of charge 1μCin order to produce this electric field?

A sphere with radius 2cm is placed at a location near a point charge. The sphere has a charge of -9×10-10C spread uniformly over its surface. The electric field due to the point charge has a magnitude of 470N/C at the center of the sphere. What is the magnitude of the force on the sphere due to the point charge?

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

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