A parallel plate capacitor is filled with 3 dielectric materials of same thickness, as shown in sket

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2. Electric Potential and Capacitance

hard

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 ?

$E_3 < E_2 < E_1 \ and\ \Delta V_3 < \Delta V_2 <\Delta V_1$

$E_3 > E_2 > E_1 \ and \ \Delta V_3 > \Delta V_2 >\Delta V_1$

$E_3 < E_2 < E_1 \ and\ \Delta V_3 > \Delta V_2 >\Delta V_1$

$E_3 > E_2 > E_1\ and \ \Delta V_3 < \Delta V_2 <\Delta V_1$

Solution

$\mathrm{E} \times \frac{1}{\mathrm{k}} \Rightarrow \Delta \mathrm{V} \times \frac{1}{\mathrm{k}} \Rightarrow \mathrm{E}_{3}<\mathrm{E}_{2}<\mathrm{E}_{1}$

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

Standard 12

Physics

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Capacitance of a capacitor made by a thin metal foil is $2\,\mu F$. If the foil is folded with paper of thickness $0.15\,mm$, dielectric constant of paper is $2.5$ and width of paper is $400\,mm$, then length of foil will be…..$m$

medium

Solution

Similar Questions

A capacitor is half filled with a dielectric $(K=2)$ as shown in figure A. If the same capacitor is to be filled with same dielectric as shown, what would be the thickness of dielectric so that capacitor still has same capacity?

Adielectric slab is inserted between the plates of an isolated charged capacitor. Which of the following quantities will remain the same?

How does the polarised dielectric modify the original external field inside it ?

Capacitance of a capacitor made by a thin metal foil is $2\,\mu F$. If the foil is folded with paper of thickness $0.15\,mm$, dielectric constant of paper is $2.5$ and width of paper is $400\,mm$, then length of foil will be…..$m$

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