A parallel plate capacitor with air between t | vedclass

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

Question

(C) The initial capacitance of the air-filled parallel plate capacitor is given by $C = \frac{\epsilon_0 A}{d} = 9 \ pF$.When the space is filled with

Vedclass · Accepted Answer

$81$

Vedclass · Answer

(C) The initial capacitance of the air-filled parallel plate capacitor is given by $C = \frac{\epsilon_0 A}{d} = 9 \ pF$.When the space is filled with two dielectrics of thicknesses $d_1 = \frac{d}{3}$ and $d_2 = \frac{2d}{3}$,they act as two capacitors in series.The capacitance of the first part is $C_1 = \frac{K_1 \epsilon_0 A}{d_1} = \frac{6 \epsilon_0 A}{d/3} = 18 \left(\frac{\epsilon_0 A}{d}ight) = 18 	imes 9 = 162 \ pF$.The capacitance of the second part is $C_2 = \frac{K_2 \epsilon_0 A}{d_2} = \frac{12 \epsilon_0 A}{2d/3} = \frac{18 \epsilon_0 A}{d} = 18 	imes 9 = 162 \ pF$.The equivalent capacitance $C_{eq}$ for capacitors in series is given by $\frac{1}{C_{eq}} = \frac{1}{C_1} + \frac{1}{C_2}$.$C_{eq} = \frac{C_1 C_2}{C_1 + C_2} = \frac{162 	imes 162}{162 + 162} = \frac{162}{2} = 81 \ pF$.

Similar Questions

$A$ sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor

$A$ capacitor is connected to a $10\,V$ battery. The charge on the plates is $10\,\mu C$ when the medium between the plates is air. The charge on the plates becomes $100\,\mu C$ when the space between the plates is filled with oil. The dielectric constant of the oil is:

$A$ parallel plate capacitor is made of two circular plates separated by a distance $5 \ mm$ and with a dielectric of dielectric constant $2.2$ between them. When the electric field in the dielectric is $3 \times 10^4 \ Vm^{-1}$,the charge density of the positive plate will be close to:

$A$ parallel plate capacitor has plates of area $0.4 \pi \,m^2$ and spacing of $0.5 \,mm$. If a slab of thickness $0.5 \,mm$ and dielectric constant $4.5$ is introduced in between the plates of the capacitor, then the capacitance of the capacitor is

Vedclass Test Series

Exam Paper Generator

Online Exam Module