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Chapter 25: Q. 5 (page 708)

Rank in order, from most positive to most negative, the potential energiesUato Ufof the six electric dipoles in the uniform electric field of FIGURE Q25.5. Explain.

Short Answer

Expert verified

Rank of the dipole from most positive to negative is d,c,e=f,b,a

Step by step solution

01

Given information and formulae used

Figure of a six-pole dipole in an electric field that is uniform.

Figure.1

Formula used:

The dipole moment's potential energy is calculated using the formula.

U=-PEcos胃

Where,

Uis potential energy

Pis dipole moment

Eis electric field

胃is the angle of dipole from the horizontal

02

Sort the dipoles from most positive to least positive. 

(a)

Assuming that first dipole is at 0掳

Ua=-PEcos0=-PE

(b)

Assuming that dipole is at胃掳

Ub=-PEcos胃

(c)

The dipole is at 90+胃掳

Uc=-PEcos(90+胃)=+PEsin胃here0掳<胃<90掳

(d)

The dipole is at 180掳

Ud=-PEcos180=+PE

(e)

The dipole is at 90掳

Ue=-PEcos90=0

(f)

The dipole is at 270掳

Uf=-PEcos270=0

Thus, the order of potential energy increases. d,c,e=f,b,a.

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