A solid conducting sphere of radius $R_1$ is surrounded by another concentric hollow conducting sphere of radius $R_2$. The capacitance of this assembly is proportional to
Medium
Download our app for free and get started
(d) Capacitance of the given assembly
$C = 4\pi {\varepsilon _0}\,\left( {\frac{{{R_1}{R_2}}}{{{R_2} - {R_1}}}} \right)$
==>$ C \propto \frac{{{R_1}{R_2}}}{{({R_2} - {R_1})}}$
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
- 1When two isolated conductors $A$ and $B$ are connected by a conducting wire positive charge will flow from :-View Solution
- 2What is the potential difference between $A$ and $B$ in the circuit shown.......$V$View Solution
- 3The escape speed of an electron launched from the surface of a glass sphere of diameter $1\ cm$ that has been charged to $10\ nC$ is $x \times 10^7\ m/sec$ . The value of $x$ isView Solution
- 4Two capacitors of $3\,pF$ and $6\,pF$ are connected in series and a potential difference of $5000\,V$ is applied across the combination. They are then disconnected and reconnected in parallel. The potential between the plates isView Solution
- 5The 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 isView Solution
- 6A hollow metal sphere of radius $5\, cm$ is charged so that the potential on its surface is $10\, V$. The potential at the centre of the sphere isView Solution
- 7Two capacitor having capacitances $8\ \mu F$ and $16\ \mu F$ have breaking voltages $20\ V$ and $80\ V$. They are combined in series. The maximum charge they can store individually in the combination is...... $\mu C$View Solution
- 8A charge $( - q)$ and another charge $( + Q)$ are kept at two points $A$ and $B$ respectively. Keeping the charge $( + Q)$ fixed at $B$, the charge $( - q)$ at $A$ is moved to another point $C$ such that $ABC$ forms an equilateral triangle of side $l$. The net work done in moving the charge $( - q)$ isView Solution
- 9A capacitance of $2\ μF$ is required in an electrical circuit across a potential difference of $1.0\ kV$. A large number of $1\ μF$ capacitors are available which can withstand a potential difference of not more than $300\ V$. The minimum number of capacitors required to achieve this isView Solution
- 10A $2\,\mu F$ Capacitor is charged as shown in the figure. The percentage of its store energy dissipated after the switch $S$ is turned to position $2$, is.....$\%$View Solution
