The area of each plate of a parallel plate ca | vedclass

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

Question

(B) The capacitance of a parallel plate capacitor filled with a dielectric is given by $C = \frac{K \varepsilon_0 A}{d}$.For a spherical conductor of

Vedclass · Accepted Answer

$4.77$

Vedclass · Answer

(B) The capacitance of a parallel plate capacitor filled with a dielectric is given by $C = \frac{K \varepsilon_0 A}{d}$.For a spherical conductor of radius $r$,the capacitance is $C = 4 \pi \varepsilon_0 r$.Equating the two capacitances: $4 \pi \varepsilon_0 r = \frac{K \varepsilon_0 A}{d}$.Solving for $r$: $r = \frac{KA}{4 \pi d}$.Given: $A = 100 \, cm^2 = 100 	imes 10^{-4} \, m^2 = 10^{-2} \, m^2$,$d = 1 \, mm = 10^{-3} \, m$,and $K = 6$.Substituting the values: $r = \frac{6 	imes 10^{-2}}{4 	imes 3.14 	imes 10^{-3}} = \frac{6 	imes 10}{12.56} = \frac{60}{12.56} \approx 4.77 \, m$.

The area of each plate of a parallel plate capacitor is $100 \, cm^2$ and the distance between the plates is $1 \, mm$. It is filled with mica of dielectric constant $6$. The radius of the equivalent capacity of the sphere will be.......$m$.

Similar Questions

For a parallel plate capacitor having plates with finite area,the electric field lines bend outward at the edges. This effect is called . . . . . . .

$A$ parallel plate capacitor with plates of area $1\,m^2$ each,are at a separation of $0.1\,m.$ If the electric field between the plates is $100\,N/C,$ what is the magnitude of the charge on each plate?

Two identical metal plates are given charges $q_1$ and $q_2$ $(q_2 < q_1)$ respectively. If they are now brought close together to form a parallel plate capacitor with capacitance $C$,the potential difference $V$ between the plates is

The capacitance of a parallel plate capacitor is $12\,\mu F$. If the distance between the plates is doubled and the area is halved,then the new capacitance will be.........$\mu F$.

When a test charge placed in the middle of a parallel plate capacitor experiences a force $F$,what will be the force experienced by the same test charge if one plate is removed?

Vedclass Test Series

Exam Paper Generator

Online Exam Module