A spherical condenser has inner and outer spheres of radii a and b respectively. The space between the two is filled with air. The difference

Q: A spherical condenser has inner and outer spheres of radii $a$ and $b$ respectively. The space between the two is filled with air. The difference between the capacities of two condensers formed when outer sphere is earthed and when inner sphere is earthed will be

c (c) Capacity when outer sphere is earthed ${C_1} = 4\pi {\varepsilon _0}\frac{{ab}}{{b - a}}$ Capacity when inner sphere is earthed ${C_2} = 4\pi {\varepsilon _0}b + \frac{{4\pi {\varepsilon _0}ab}}{{b - a}} = 4\pi {\varepsilon _0}\left( {\frac{{{b^2}}}{{b - a}}} \right)$ Difference in capacity = $C_2 -C_1 = 4\pi {\varepsilon _0}b$

SECTION - A [PHYSICS - MCQ]

GSEB - English Medium

A spherical condenser has inner and outer spheres of radii $a$ and $b$ respectively. The space between the two is filled with air. The difference between the capacities of two condensers formed when outer sphere is earthed and when inner sphere is earthed will be

A
Zero
B$4\pi {\varepsilon _0}a$
C$4\pi {\varepsilon _0}b$
D$4\pi {\varepsilon _0}a\left( {\frac{b}{{b - a}}} \right)$

Diffcult

STD 11 Science
NEET
STD 12 - 2. Electric potential and capacitance
Physics

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Download App

Similar Questions

1
The two plates $X $ and $Y$ of a parallel plate capacitor of capacitance $C$ are given a charge of amount $Q$ each. $X$ is now joined to the positive terminal and $Y$ to the negative terminal of a cell of $emf$ $E = Q/C$.
View Solution
2
In a region, if electric field is defined as $\vec E = \left( {\hat i + 2\hat j + \hat k} \right)\,V/m$ , then the potential difference between two points $A (0, 0, 0)$ and $B (2, 3, 4)$ in that region, is ......$V$
View Solution
3
When air in a capacitor is replaced by a medium of dielectric constant $K$, the capacity
View Solution
4
The parallel combination of two air filled parallel plate capacitors of capacitance $C$ and $nC$ is connected to a battery of voltage, $V$. When the capacitor are fully charged, the battery is removed and after that a dielectric material of dielectric constant $K$ is placed between the two plates of the first capacitor. The new potential difference of the combined system is
View Solution
5
Two charges of magnitude $+ q$ and $-\,3q$ are placed $100\,cm$ apart. The distance from $+ q$ between the charges where the electrostatic potential is zero is.......$cm$
View Solution
6
Two point charges $-Q$ and $+Q / \sqrt{3}$ are placed in the xy-plane at the origin $(0,0)$ and a point $(2,0)$, respectively, as shown in the figure. This results in an equipotential circle of radius $R$ and potential $V =0$ in the $xy$-plane with its center at $(b, 0)$. All lengths are measured in meters.

($1$) The value of $R$ is. . . . meter.

($2$) The value of $b$ is. . . . . .meter.
View Solution
7
How much kinetic energy will be gained by an $\alpha - $particle in going from a point at $70\,V$ to another point at $50\,V$
View Solution
8
On each side of a polygon of $n$ sides a capacitor of capacitance $C$ is placed as shown in figure. Equivalent capacitance across $A$ and $B$ is
View Solution
9
As per this diagram a point charge $ + q$ is placed at the origin $O$. Work done in taking another point charge $ - Q$ from the point $A$ [co-ordinates $(0,\,a)$] to another point $B$ [co-ordinates $(a, 0)$] along the straight path $AB$ is
View Solution
10
An infinite nonconducting sheet of charge has a surface charge density of $10^{-7}\ C/m^2$. The separation between two equipotential surfaces near the sheet whose potential differ by $ 5\,V$ is
View Solution

Download our appand get started for free

Similar Questions

Download our app
and get started for free