A parallel plate capacitor has plates of area | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The equivalent capacitance $C$ for a parallel plate capacitor with multiple dielectric slabs of thickness $t_i$ and dielectric constant $k_i$ is g

Vedclass · Accepted Answer

$\frac{5000}{7} \varepsilon_0 A$

Vedclass · Answer

(C) The equivalent capacitance $C$ for a parallel plate capacitor with multiple dielectric slabs of thickness $t_i$ and dielectric constant $k_i$ is given by the formula:$C = \frac{\varepsilon_0 A}{\sum \frac{t_i}{k_i}}$Given:$t_1 = 6 \, mm = 6 	imes 10^{-3} \, m$$t_2 = 4 \, mm = 4 	imes 10^{-3} \, m$$k_1 = 10$$k_2 = 5$Substituting the values:$C = \frac{\varepsilon_0 A}{\frac{6 	imes 10^{-3}}{10} + \frac{4 	imes 10^{-3}}{5}}$$C = \frac{\varepsilon_0 A}{0.6 	imes 10^{-3} + 0.8 	imes 10^{-3}}$$C = \frac{\varepsilon_0 A}{1.4 	imes 10^{-3}}$$C = \frac{1000}{1.4} \varepsilon_0 A = \frac{10000}{14} \varepsilon_0 A = \frac{5000}{7} \varepsilon_0 A$

$A$ parallel plate capacitor has plates of area $A$ and a separation of $10 \, mm$. Two dielectric sheets are placed between the plates with dielectric constants $k_1 = 10$ and $k_2 = 5$,and thicknesses $t_1 = 6 \, mm$ and $t_2 = 4 \, mm$ respectively. Calculate the capacitance of the capacitor.

Similar Questions

Assertion : $A$ parallel plate capacitor is connected across a battery through a key. $A$ dielectric slab of dielectric constant $K$ is introduced between the plates. The energy stored becomes $K$ times.
Reason : The surface density of charge on the plate remains constant or unchanged.

$A$ parallel plate capacitor is immersed in an oil of dielectric constant $K = 2$. The electric field between the plates is:

When the battery across the plates of a charged condenser is disconnected and a dielectric slab is introduced between its plates,then the energy stored:

Two point charges are placed at a distance $r$ in air,experiencing a force $F$. When they are placed in a medium with a dielectric constant $K$,at what distance will the force between them remain the same?

Vedclass Test Series

Exam Paper Generator

Online Exam Module