MCQ
A parallel plate capacitor is filled with $3$ dielectric materials of same thickness, as shown in the sketch. The dielectric constants are such that $k_3 > k_2 > k_1$. Let the magnitudes of the electric field in and potential drops across each dielectric be $E_3$, $E_2$,$ E_1$, $\Delta V_3$, $\Delta V_2$ and $\Delta V_1$, respectively. Which one of the following statement is true ?
  • $E_3 < E_2 < E_1 \  and\   \Delta  V_3 < \Delta V_2 <\Delta  V_1$
  • B
    $E_3 > E_2 > E_1 \  and \  \Delta  V_3 > \Delta V_2 >\Delta  V_1$
  • C
    $E_3 < E_2 < E_1 \  and\   \Delta  V_3 > \Delta V_2 >\Delta  V_1$
  • D
    $E_3 > E_2 > E_1\   and \  \Delta  V_3 < \Delta V_2 <\Delta  V_1$

Answer

Correct option: A.
$E_3 < E_2 < E_1 \  and\   \Delta  V_3 < \Delta V_2 <\Delta  V_1$
a
$\mathrm{E} \times \frac{1}{\mathrm{k}} \Rightarrow \Delta \mathrm{V} \times \frac{1}{\mathrm{k}} \Rightarrow \mathrm{E}_{3}<\mathrm{E}_{2}<\mathrm{E}_{1}$

and $\Delta \mathrm{V}_{3}<\Delta \mathrm{V}_{2}<\Delta \mathrm{V}_{1}$

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