iran-konkur 2023 Q63

iran-konkur · Other · konkur-riazi_1402_tir_specialized Not Maths
63. In the figure below, three positive point charges at the vertices of an equilateral triangle are fixed. The net electric field at point M (center of the triangle) is $E$. If we remove charge $q_2$, how large does the net electric field at point M become?
[Figure: Equilateral triangle with vertices labeled $q_2 = 2\,\mu\text{C}$ (top right), $q_1 = 1\,\mu\text{C}$ (left), $q_3 = 3\,\mu\text{C}$ (bottom), and center point M]
(1) $\sqrt{5}$
(2) $2\sqrt{5}$
(3) $\dfrac{3}{2}$
(4) $\dfrac{2}{3}$
\textbf{63.} In the figure below, three positive point charges at the vertices of an equilateral triangle are fixed. The net electric field at point M (center of the triangle) is $E$. If we remove charge $q_2$, how large does the net electric field at point M become?

\begin{center}
\textit{[Figure: Equilateral triangle with vertices labeled $q_2 = 2\,\mu\text{C}$ (top right), $q_1 = 1\,\mu\text{C}$ (left), $q_3 = 3\,\mu\text{C}$ (bottom), and center point M]}
\end{center}

(1) $\sqrt{5}$

(2) $2\sqrt{5}$

(3) $\dfrac{3}{2}$

(4) $\dfrac{2}{3}$

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