Three point charges q, q and -2 q are placed at the comers of an equilateral triangle of side 'L '. Calculate work done by extemal force in moving all the charges far apart without acceleration

Question

Three point charges q, q and -2 q are placed at the comers of an equilateral triangle of side 'L '. Calculate work done by extemal force in moving all the charges far apart without acceleration (A) (1/4 π ε0) (3 q2/L) (B) -(1/4 π ε0) (3 q2/L) (C) (1/4 π ε0) (5 q2/L) (D) -(1/4 π ε0) (5 q2/L)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/9a65a25b1b208ed6a380484ee359b1f1-.png" /> U=(k(q)(-2 q)/L)+(k(q)(q)/L)+(k(q)(-2 q)/L) U=(-3 k q2/L) U propto=0 We t=U propto-U=(3 k q2/L)

Q. Three point charges $q, q$ and $- 2 q$ are placed at the comers of an equilateral triangle of side ' $L$ '. Calculate work done by extemal force in moving all the charges far apart without acceleration

$\frac{1}{4 π ε _{0}} \frac{3 q ^{2}}{L}$

$- \frac{1}{4 π ε _{0}} \frac{3 q ^{2}}{L}$

$\frac{1}{4 π ε _{0}} \frac{5 q ^{2}}{L}$

$- \frac{1}{4 π ε _{0}} \frac{5 q ^{2}}{L}$

$U = \frac{k ( q ) ( - 2 q )}{L} + \frac{k ( q ) ( q )}{L} + \frac{k ( q ) ( - 2 q )}{L}$
$U = \frac{- 3 k q ^{2}}{L}$
$U_{\propto} = 0$
$W_{e t} = U_{\propto} - U = \frac{3 k q ^{2}}{L}$

Q. Three point charges q,q and −2q are placed at the comers of an equilateral triangle of side 'L '. Calculate work done by extemal force in moving all the charges far apart without acceleration

4πε0​1​L3q2​

−4πε0​1​L3q2​

4πε0​1​L5q2​

−4πε0​1​L5q2​