An electric dipole is made of two charges of equal magnitudes and opposite signs. The positive charge, q=1.0 μC, is located at the point (x, y, z) = (0.00 cm, 1.0 cm, 0.00 cm), while the negative charge is located at the point (x, y, z) = (0.00 cm, −1.0 cm, 0.00 cm). How much work will be done by an electric field E⃗ =3.0×106 N/C) i^ to bring the dipole to its stable equilibrium position?

Respuesta :

Answer:

work done by electric field  is 0.06 J

Explanation:

Given data:

Two point charge is [tex]+ 1\mu C  and -1 \mu C[/tex]

0+1 charge positioned is (0 cm , 1 cm, 0.00 cm)

-1 charge positioned is (0 cm , -1 cm, 0.00 cm)

E = 3.0\times 10^6 N/C

From above information, the distance between  given two charges d = 2 cm

then d = 0.02m

 work needed is W = q E d

[tex]W = 1.0 \times 10^{-6} \times 3.0 \times 10^6 \times 0.02[/tex]

W = 0.06 J  

Therefore work done by electric field  is 0.06 J

The calculated work value is "0.06 J".

Work calculation:

For positive charge:

[tex]\to q = 1.0 \mu C[/tex]

located at  [tex]\ ( x , y , z ) = ( 0 , 1cm , 0 )[/tex]

For negative charge:

[tex]\to q = - 1.0 \mu C[/tex]

located at [tex]( x , y , z ) = ( 0 , -1 cm , 0 )[/tex]

[tex]\to E = ( 3 \times 10^6 \ \frac{N}{C} ) \ i[/tex]

using given data the distance between two charges [tex]d = 2\ cm[/tex]

then [tex]d = 0.02\ m[/tex]

Using a formula for calculating the Work:

[tex]\to W = q E d[/tex]

         [tex]= 1.0 \times 10^{-6} \times 3 \times 10^6 \times 0.02\\\\= 1.0 \times 3 \times 0.02\\\\=0.06 \ J[/tex]

Therefore, the final answer is "0.06 J".

Find out more about the electric dipole here:

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