A parallel plate capacitor is filled with two | vedclass

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

Question

(B) The given arrangement can be considered as two capacitors connected in parallel,each having an area $A/2$ and plate separation $t$. For the first

Vedclass · Accepted Answer

$\frac{\varepsilon_0 A}{t} \cdot \frac{k_1 + k_2}{2}$

Vedclass · Answer

(B) The given arrangement can be considered as two capacitors connected in parallel,each having an area $A/2$ and plate separation $t$. For the first capacitor with dielectric constant $k_1$,the capacitance is $C_1 = \frac{k_1 \varepsilon_0 (A/2)}{t} = \frac{k_1 \varepsilon_0 A}{2t}$. For the second capacitor with dielectric constant $k_2$,the capacitance is $C_2 = \frac{k_2 \varepsilon_0 (A/2)}{t} = \frac{k_2 \varepsilon_0 A}{2t}$. Since they are in parallel,the equivalent capacitance $C = C_1 + C_2$. $C = \frac{k_1 \varepsilon_0 A}{2t} + \frac{k_2 \varepsilon_0 A}{2t} = \frac{\varepsilon_0 A}{2t}(k_1 + k_2) = \frac{\varepsilon_0 A}{t} \cdot \frac{k_1 + k_2}{2}$. Thus,the correct option is $B$.

$A$ parallel plate capacitor is filled with two dielectrics as shown in the figure. The area of each plate is $A \; m^2$ and the separation between the plates is $t \; m$. The dielectric constants are $k_1$ and $k_2$ respectively. Its capacitance in farad will be:

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 the same dielectric as shown in Figure $B$, what would be the thickness $t$ of the dielectric so that the capacitor still has the same capacity?

The capacitance of a spherical capacitor in air is $50 \,\mu F$. When it is immersed in oil,its capacitance becomes $110 \,\mu F$. Calculate the dielectric constant of the oil.

$A$ parallel plate capacitor has two layers of dielectric as shown in the figure. This capacitor is connected across a battery. Which graph shows the variation of electric field $(E)$ with distance $(x)$ from the left plate?

The capacity of a parallel plate capacitor with no dielectric substance but with a separation of $0.4 \,cm$ is $2 \,\mu F$. The separation is reduced to half and it is filled with a dielectric substance of value $2.8$. The final capacity of the capacitor is.......$\mu F$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module