The respective radii of the two spheres of a | vedclass

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

Question

(A) The capacitance $C$ of a spherical capacitor with radii $a$ and $b$ $(b > a)$ and dielectric constant $K$ is given by the formula: $C = 4\pi \vare

Vedclass · Accepted Answer

$240 \; pF$

Vedclass · Answer

(A) The capacitance $C$ of a spherical capacitor with radii $a$ and $b$ $(b > a)$ and dielectric constant $K$ is given by the formula: $C = 4\pi \varepsilon_0 K \left( \frac{ab}{b - a} ight)$.Given: $a = 9 \; cm = 9 	imes 10^{-2} \; m$,$b = 12 \; cm = 12 	imes 10^{-2} \; m$,$K = 6$,and $\frac{1}{4\pi \varepsilon_0} = 9 	imes 10^9 \; N \cdot m^2/C^2$.Substituting the values:$C = \frac{6}{9 	imes 10^9} 	imes \left( \frac{12 	imes 10^{-2} 	imes 9 	imes 10^{-2}}{12 	imes 10^{-2} - 9 	imes 10^{-2}} ight)$$C = \frac{6}{9 	imes 10^9} 	imes \left( \frac{108 	imes 10^{-4}}{3 	imes 10^{-2}} ight)$$C = \frac{6}{9 	imes 10^9} 	imes (36 	imes 10^{-2})$$C = \frac{216 	imes 10^{-2}}{9 	imes 10^9} = 24 	imes 10^{-11} \; F$$C = 240 	imes 10^{-12} \; F = 240 \; pF$.

The respective radii of the two spheres of a spherical condenser are $12 \; cm$ and $9 \; cm$. The dielectric constant of the medium between them is $6$. The capacity of the condenser will be

Similar Questions

Capacitance of an isolated conducting sphere of radius $R_{1}$ becomes $n$ times when it is enclosed by a concentric conducting sphere of radius $R_{2}$ connected to earth. The ratio of their radii $\left(\frac{R_{2}}{R_{1}}\right)$ is:

Consider a spherical drop of mercury of radius $R$ with capacitance $C = 4 \pi \epsilon_0 R$. If two such droplets combine to form a larger one,what would be its capacitance in terms of $C$?

The capacitance of an isolated conducting sphere of radius $R$ is proportional to . . . . . . .

The potentials on the plates of a capacitor are $+20 \,V$ and $-20 \,V$. The charge on the plate is $40 \,C$. The capacitance of the capacitor is (in $\,F$)

In a spherical condenser, the radius of the outer sphere is $R$. The difference in the radii of the outer and inner sphere is $x$. Its capacity is proportional to:

Vedclass Test Series

Exam Paper Generator

Online Exam Module