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Assume that an electric field \vec{E} = 30 x^{2} \hat{i} exists in space.  Then the potential difference VA - VO, where VO is the potential at the origin and VA the potential at x=2 m is :

  • Option 1)

    120 J

  • Option 2)

    -120 J

  • Option 3)

    - 80 J

  • Option 4)

    80 J

 

Answers (2)

best_answer

As we discussed in the concept

In space -

E_{x}=\frac{-dv}{dx}  ,  E_{y}=\frac{-dv}{dy}    ,  E_{z}=\frac{-dv}{dz}

-

 

 \underset{E}{\rightarrow}=30x^{2}\iota

=>dv=-\vec{E}. \vec{dx}=\int_{V_{1}}^{V_{4}}dv= -\int_{0}^{2} 30x^{2} dx

V_{a}- V_{0} = -10\left | 8 \right | J= -80 J


Option 1)

120 J

Option 2)

-120 J

Option 3)

- 80 J

Option 4)

80 J

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