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Physics · 2023 · 2 marks
Electrostatic Potential and CapacitancePotential due to a System of Charges2 marksApplyvery short answer
CBSE 2023 · Region 5 · Set 3 · Q22
Three point charges Q, q and -q are kept at the vertices of an equilateral triangle of side L as shown in figure. What is (i) the electrostatic…
Three point charges $\displaystyle \mathrm{Q}, \mathrm{q}$ and -q are kept at the vertices of an equilateral triangle of side L as shown in figure. What is
(i)
the electrostatic potential energy of the arrangement ? and
(ii)
the potential at point D ?
Marking-scheme solution
(i)
$\displaystyle U = -\dfrac{kQq}{L} + \dfrac{kQq}{L} - \dfrac{kq^{2}}{L}$
$\displaystyle U = -\dfrac{kq^{2}}{L}$
(ii)
$\displaystyle V = V_{DA} + V_{DB} + V_{DC}$
$\displaystyle V = \dfrac{2KQ}{L\sqrt{3}} - \dfrac{2Kq}{L} + \dfrac{2Kq}{L}$
$\displaystyle V = \dfrac{2KQ}{L\sqrt{3}}$
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