Capacitance (in $F$) of a spherical conductor with radius $1\, m$ is
AIEEE 2002, Easy
Download our app for free and get started
(a) $C = 4\pi { \in _0}R = \frac{1}{{9 \times {{10}^9}}} \times 1 = 1.1 \times {10^{ - 10}}F$
Download our appand 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.*
Similar Questions
- 1The gap between the plates of a parallel plate capacitor of area $A$ and distance between plates $d$, is filled with a dielectric whose permittivity varies linearly from ${ \varepsilon _1}$ at one plate to ${ \varepsilon _2}$ at the other. The capacitance of capacitor isView Solution
- 2On each side of a polygon of $n$ sides a capacitor of capacitance $C$ is placed as shown in figure. Equivalent capacitance across $A$ and $B$ isView Solution
- 3A system of three charges are placed as shown in the figure.View Solution
If $D > > d,$ the potential energy of the system is best given $b$
- 4$100$ capacitors each having a capacity of $10\,\mu F$ are connected in parallel and are charged by a potential difference of $100\,kV$. The energy stored in the capacitors and the cost of charging them, if electrical energy costs $108\;paise\;per\;kWh$, will beView Solution
- 5Six point charges are placed at the vertices of a regular hexagon of side $a$ as shown. If $E$ represents electric field and $V$ represents electric potential at $O$, thenView Solution
- 6Positive and negative point charges of equal magnitude are kept at $\left(0,0, \frac{a}{2}\right)$ and $\left(0,0, \frac{-a}{2}\right)$, respectively. The work done by the electric field when another positive point charge is moved from $(-a, 0,0)$ to $(0, a, 0)$ isView Solution
- 7View SolutionThe potential gradient is a
- 8In a parallel plate capacitor the separation between the plates is $3\,mm$ with air between them. Now a $1\,mm$ thick layer of a material of dielectric constant $2$ is introduced between the plates due to which the capacity increases. In order to bring its capacity to the original value the separation between the plates must be made......$mm$View Solution
- 9How 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
- 10An empty thick conducting shell of inner radius $a$ and outer radius $b$ is shown in figure.If it is observed that the inner face of the shell carries a uniform charge density $-\sigma$ and the surface carries a uniform charge density $ '\sigma '$View Solution
If a point charge $q_A$ is placed at the center of the shell, then choose the correct statement $(s)$
