Respuesta :

Answer:

W = 1/2 x P x E

Explanation:

Let :

  • P = electric dipole moment
  • E = uniform electric field
  • α = initial angle
  • β = final angle

Formula

  • The work done in a electric field can be found using the formula :
  • W = P x E x (cosα - cosβ)

Solving

  • W = P x E x (cos0° - cos60°)
  • W = P x E x (1 - 1/2)
  • W = 1/2 x P x E

Let's see

[tex]\\ \rm\rightarrowtail W=P\vec{E}(cos\theta_i-cos\theta_f)[/tex][tex]\\ \rm\rightarrowtail W=P\vec{E}(cos0-cos60)[/tex]

[tex]\\ \rm\rightarrowtail W=P\vec{E}(1-1/2)[/tex]

[tex]\\ \rm\rightarrowtail W=\dfrac{P\vec{E}}{2}[/tex]

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