A parallel plate capacitor of capacitance 12. | vedclass

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

Question

(C) Initial capacitance $C_0 = 12.5 \ pF$ and initial potential $V = 12.0 \ V$.Initial charge $Q = C_0 V = 12.5 	imes 10^{-12} 	imes 12 = 150 	imes

Vedclass · Accepted Answer

$750$

Vedclass · Answer

(C) Initial capacitance $C_0 = 12.5 \ pF$ and initial potential $V = 12.0 \ V$.Initial charge $Q = C_0 V = 12.5 	imes 10^{-12} 	imes 12 = 150 	imes 10^{-12} \ C$.Initial energy $U_i = \frac{1}{2} C_0 V^2 = \frac{1}{2} 	imes 12.5 	imes 10^{-12} 	imes (12)^2 = 900 	imes 10^{-12} \ J$.After disconnecting the battery,the charge $Q$ remains constant. When the dielectric slab is inserted,the new capacitance becomes $C_f = \epsilon_r C_0 = 6 	imes 12.5 \ pF = 75 \ pF$.The final energy $U_f = \frac{Q^2}{2 C_f} = \frac{Q^2}{2 \epsilon_r C_0} = \frac{U_i}{\epsilon_r} = \frac{900 	imes 10^{-12}}{6} = 150 	imes 10^{-12} \ J$.The change in potential energy is $\Delta U = U_i - U_f = 900 	imes 10^{-12} - 150 	imes 10^{-12} = 750 	imes 10^{-12} \ J$.

Similar Questions

In a parallel plate capacitor, the radius of each circular plate is $12\,cm$ and the distance between the plates is $5\,mm$. A glass slab of $3\,mm$ thickness and radius $12\,cm$ with a dielectric constant of $6$ is placed between the plates. The capacitance of the capacitor will be:

If a dielectric is inserted into a charged capacitor (battery removed),then the quantity that remains constant is

$A$ parallel plate capacitor with plate area $A$ and plate separation $d$ has a capacitance of $4 \, \mu F$. The new capacitance of the system if half of the space between them is filled with a dielectric material of dielectric constant $K = 3$ (as shown in figure) will be .........$ \mu F$.

The capacity of an air-filled parallel plate capacitor is $C_0$. One-half of the space between the plates is filled with a dielectric of constant $K$ as shown in the figure. The new capacity becomes $C_n$. The ratio of $C_n$ to $C_0$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module