iran-konkur 2013 Q179

iran-konkur · Other · konkur-riazi_1392 Not Maths
179. In a circuit, the energy stored in each capacitor is equal. What is the relationship between the capacitances?
[Figure: Circuit with three capacitors $C_1$, $C_2$, $C_3$ connected to voltage source $V$. $C_1$ and $C_3$ are in series with each other, and $C_2$ is in parallel with that series combination.]
  • [(1)] $C_1 = C_2 = \dfrac{1}{4}C_3$
  • [(2)] $C_1 = C_2 = 4C_3$
  • [(3)] $C_1 = C_2 = \dfrac{1}{2}C_3$
  • [(4)] $C_1 = C_2 = 2C_3$
\textbf{179.} In a circuit, the energy stored in each capacitor is equal. What is the relationship between the capacitances?

\textit{[Figure: Circuit with three capacitors $C_1$, $C_2$, $C_3$ connected to voltage source $V$. $C_1$ and $C_3$ are in series with each other, and $C_2$ is in parallel with that series combination.]}

\begin{itemize}
    \item[(1)] $C_1 = C_2 = \dfrac{1}{4}C_3$
    \item[(2)] $C_1 = C_2 = 4C_3$
    \item[(3)] $C_1 = C_2 = \dfrac{1}{2}C_3$
    \item[(4)] $C_1 = C_2 = 2C_3$
\end{itemize}