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  • How to solve this problem- Determiine the electric dipole moment of the sysytem of three charges, placed on the vertices of an equilateral triangle, as shown in the figure :

 Determiine the electric dipole moment of the sysytem of three charges, placed on the vertices of an equilateral triangle, as shown in the figure :

  • Option 1)

     (ql)\frac{ \hat{i} + \hat{j} }{\sqrt{2}}

  • Option 2)

    - \sqrt{3} ql \hat{j}

  • Option 3)

    2 q l \hat{j}

  • Option 4)

     \sqrt{3} ql\frac{ \hat{j} - \hat{i} }{\sqrt{2}}

Answers (1)

best_answer

 

Dipole moment -

\left ( \vec{P} \right )=q\left ( \vec{2l} \right )

S.I unit - C-m or Debye

1\, Debye=3.3\times 10^{-30}c-m

 

 

- wherein

2l\rightarrow dipole\, length

Consider this a  2 dipole as shown in figure

\left | P_{1} \right |=q\times d

\left | P_{2} \right |=qd

d=x

P_{net}=2P\, COS\, 30

           =2\times q\times d\times \frac{\sqrt{3}}{2}

 

P_{net}=\sqrt{3}qd

P_{net}=\sqrt{3}qdP_{net}=\sqrt{3}\times q\times l\left ( -\hat{J} \right )


Option 1)

 (ql)\frac{ \hat{i} + \hat{j} }{\sqrt{2}}

Option 2)

- \sqrt{3} ql \hat{j}

Option 3)

2 q l \hat{j}

Option 4)

 \sqrt{3} ql\frac{ \hat{j} - \hat{i} }{\sqrt{2}}

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