A thin spherical conducting shell of radius $R$ has a charge $q$ . Another charge $Q$ is placed at the centre of the shell. The electrostatic potential at a point $P$ at a distance $R/2$ from the centre of the shell is
Easy
Download our app for free and get started
$V_{p}=V_{Q}+V_{q}$
$ = \frac{{kQ}}{{R/2}} + \frac{{kq}}{R} = \frac{{2Q}}{{4\pi { \in _0}R}} + \frac{q}{{4\pi { \in _0}R}}$
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
- 1Condenser $A$ has a capacity of $15\,\mu F$ when it is filled with a medium of dielectric constant $15$. Another condenser $B$ has a capacity of $1\,\mu F$ with air between the plates. Both are charged separately by a battery of $100\;V$. After charging, both are connected in parallel without the battery and the dielectric medium being removed. The common potential now is.....$V$View Solution
- 2Consider two charged metallic spheres $S_{1}$ and $\mathrm{S}_{2}$ of radii $\mathrm{R}_{1}$ and $\mathrm{R}_{2},$ respectively. The electric $\left.\text { fields }\left.\mathrm{E}_{1} \text { (on } \mathrm{S}_{1}\right) \text { and } \mathrm{E}_{2} \text { (on } \mathrm{S}_{2}\right)$ on their surfaces are such that $\mathrm{E}_{1} / \mathrm{E}_{2}=\mathrm{R}_{1} / \mathrm{R}_{2} .$ Then the ratio $\left.\mathrm{V}_{1}\left(\mathrm{on}\; \mathrm{S}_{1}\right) / \mathrm{V}_{2} \text { (on } \mathrm{S}_{2}\right)$ of the electrostatic potentials on each sphere isView Solution
- 3Two identical thin rings each of radius $R$ meters are coaxially placed at a distance $R$ meters apart. If $Q_1$ coulomb and $Q_2$ coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge $q$ from the centre of one ring to that of other isView Solution
- 4The charge on capacitor of capacitance $15 \mu F$ in the figure given below is $\dots \; \mu c$View Solution
- 5A $500\,\mu F$ capacitor is charged at a steady rate of $100\, \mu C/sec$. The potential difference across the capacitor will be $10\, V$ after an interval of.....$sec$View Solution
- 6Three capacitors of capacitance $1\ \mu F$, $2 \ \mu F$ and $3\ \mu F$ are connected in series and a potential difference of $11 V$ is applied across the combination. Then, the potential difference across the plates of $1\ \mu F$ capacitor is......$V$View Solution
- 7A simple pendulum of mass $'m',$ length $'I'$ and charge $'+q'$ suspended in the electric field produced by two conducting parallel plates as shown. The value of deflection of pendulum in equilibrium position will be -View Solution
- 8In an insulated parallel-plate capacitor of capacitance $C$, the four surfaces have charges $Q_1, Q_2, Q_3$ and $Q_4$ as shown. The potential difference between the plate isView Solution
- 9$A B C$ is a right angled triangle situated in a uniform electric field $\vec{E}$ which is in the plane of the triangle. The points $A$ and $B$ are at the same potential of $15 \,V$ while the point $C$ is at a potential of $20 \,V . A B=3 \,cm$ and $B C=4 \,cm$. The magnitude of electric field is (in $S.I.$ Units)View Solution
- 10A $10\, \mu F$ capacitor is fully charged to a potential difference of $50\, V$. After removing the source voltage it is connected to an uncharged capacitor in parallel. Now the potential difference across them becomes $20\, V$. The capacitance of the second capacitor is......$\mu F$View Solution