Four charges are placed at the corn...
Question
Four charges are placed at the corners of a square of side a. Work done by external agent in carrying an electron from point O to O' is
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Four charges are placed at the corners of a square of side ( a )
Work done by external agent in carrying an electron from point 0 to ( 0^{prime} ) is
(1) ( frac{-4 e k Q}{a}(sqrt{5}-2 sqrt{2}) )
(2) ( frac{4 e k Q}{a}(sqrt{5}-2 sqrt{2}) )
(3) ( frac{4 e k Q}{a}(sqrt{5}+2 sqrt{2}) )
(4)( quad frac{-4 e k Q}{a}left[1+frac{1}{sqrt{5}}-sqrt{2}right] )

JEE/Engineering Exams
Physics
Solution
193
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Four charges are placed at the corners of a square of side a. Work done by external agent in carrying an electron from point O to O' is
Fullscreen

Potential at Point
[
begin{array}{l}
v_{0}=4 x^{k q} sqrt{2}=frac{4 sqrt{2} k q}{a}
v_{d}=frac{2 k k q}{a}+2 x frac{k q}{sqrt{5} a}
end{array}
]
[
V_{0^{prime}}=frac{4 k q}{a}left(frac{sqrt{s}+1}{sqrt{5}}right)
]
-2
[
w=-(-e)left[v_{0}^{prime}-v_{0}right]<-u_{0} e e q^{n}(0)(2)
]

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