iran-konkur 2022 Q181

iran-konkur · Other · konkur-riazi_1401_specialized Not Maths
181. In the figure below, the electric field vector at the vertex of an equilateral triangle in SI units is $\vec{E} = -2\times10^5\,\hat{i} - 1.8\times10^5\,\hat{j}$. The charges $q_1$ and $q_2$ are respectively how many microcoulombs? $\left(k = 9\times10^9\,\dfrac{\text{N}\cdot\text{m}^2}{\text{C}^2}\right)$
[Figure: Equilateral triangle with side 90 cm and height 40 cm; charge $q_1$ at top-right vertex, charge $q_2$ at bottom-left vertex, coordinate axes at bottom-right vertex]
  • [(1)] $-4.8$ and $-6$
  • [(2)] $4.8$ and $-6$
  • [(3)] $-8$ and $-12.8$
  • [(4)] $+8$ and $-12.8$

\textbf{181.} In the figure below, the electric field vector at the vertex of an equilateral triangle in SI units is $\vec{E} = -2\times10^5\,\hat{i} - 1.8\times10^5\,\hat{j}$. The charges $q_1$ and $q_2$ are respectively how many microcoulombs? $\left(k = 9\times10^9\,\dfrac{\text{N}\cdot\text{m}^2}{\text{C}^2}\right)$

\textit{[Figure: Equilateral triangle with side 90 cm and height 40 cm; charge $q_1$ at top-right vertex, charge $q_2$ at bottom-left vertex, coordinate axes at bottom-right vertex]}

\begin{itemize}
    \item[(1)] $-4.8$ and $-6$
    \item[(2)] $4.8$ and $-6$
    \item[(3)] $-8$ and $-12.8$
    \item[(4)] $+8$ and $-12.8$
\end{itemize}

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