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  • Solve! Three charges, each +q, are placed at the corners of an isosceles triangle ABC of sides BC and AC, 2a, D and E are the midpointsof BC and CA. The work done in taking a charge Q from D to E is

Three charges, each +q, are placed at the corners of an isosceles triangle ABC of sides BC and AC, 2a, D and E are the midpoints of BC and CA. The work done in taking a charge Q from D to E is

  • Option 1)

    \frac{3qQ}{8\pi\epsilon _{0}a}

  • Option 2)

    \frac{qQ}{4\pi\epsilon _{0}a}

  • Option 3)

    zero

  • Option 4)

    \frac{3qQ}{4\pi\epsilon _{0}a}

 

Answers (1)

 

Potential Difference -

V_{B}-V_{A}=frac{w}{q}

-

 

 A potential at point D and E are the same, hence work done in moving charge from D to E is  

\Delta W =q\left ( V_{D}-V_{E} \right ) =0


Option 1)

\frac{3qQ}{8\pi\epsilon _{0}a}

Incorrect

Option 2)

\frac{qQ}{4\pi\epsilon _{0}a}

Incorrect

Option 3)

zero

Correct

Option 4)

\frac{3qQ}{4\pi\epsilon _{0}a}

Incorrect

Posted by

subam

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