Figure shows a solid hemisphere with a charge of $5\ nC$ distributed uniformly through its volume. The hemisphere lies on a plane and point $P$ is located on this plane, along a radial line from the centre of curvature at distance $15\ cm$. The electric potential at point $P$ due to the hemisphere, is .....$V$
Medium
Download our app for free and get started
Total charge $=\mathrm{5\;nc}=5 \times 10^{-9} \mathrm{\,c}$
${V=\frac{K q}{r}=\frac{9 \times 10^{9} \times 5 \times 10^{-9}}{15 \times 10^{-2}}} $
${V=300 \mathrm{\,V}}$
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 charge on a capacitor of capacitance $10\,\mu F$ connected as shown in the figure is.......$\mu C$View Solution
- 2If charge on each plate of a parallel plate capacitor is $Q$ and the magnitude of electric field between the plates is $E$ then force on each plate of a parallel plate capacitor will beView Solution
- 3A point charge $2 \times 10^{-2}\,C$ is moved from $P$ to $S$ in a uniform electric field of $30\,NC ^{-1}$ directed along positive $x$-axis. If coordinates of $P$ and $S$ are $(1,2$, $0) m$ and $(0,0,0) m$ respectively, the work done by electric field will be $.........\,mJ$View Solution
- 4An electron with kinetic energy $K _{1}$ enters between parallel plates of a capacitor at an angle $'\alpha'$ with the plates. It leaves the plates at angle $' \beta '$ with kinetic energy $K _{2}$. Then the ratio of kinetic energies $K _{1}: K _{2}$ will be ....... .View Solution
- 5View SolutionA spherical portion has been removed from a solid sphere having a charge distributed uniformly in its volume in the figure. The electric field inside the emptied space is
- 6A capacitor of capacitance $900\,\mu F$ is charged by a $100\,V$ battery. The capacitor is disconnected from the battery and connected to another uncharged identical capacitor such that one plate of uncharged capacitor connected to positive plate and another plate of uncharged capacitor connected to negative plate of the charged capacitor. The loss of energy in this process is measured as $x \times 10^{-2}\,J$. The value of $x$ is $..............$View Solution
- 7Two identical charged spherical drops each of capacitance $C$ merge to form a single drop. The resultant capacitance isView Solution
- 8A parallel plate capacitor of capacitance $12.5 \mathrm{pF}$ is charged by a battery connected between its plates to potential difference of $12.0 \mathrm{~V}$. The battery is now disconnected and a dielectric slab $\left(\epsilon_{\mathrm{r}}=6\right)$ is inserted between the plates. The change in its potential energy after inserting the dielectric slab is_______.$\times 10^{-12} \mathrm{~J}$.View Solution
- 9Three capacitors of capacitances $3\,\mu F,\;9\,\mu F$ and $18\,\mu F$ are connected once in series and another time in parallel. The ratio of equivalent capacitance in the two cases $\left( {\frac{{{C_s}}}{{{C_p}}}} \right)$ will beView Solution
- 10A capacitor of capacitance $C=1\, \mu \,{F}$ is suddenly connected to a battery of $100\, volt$ through a resistance ${R}=100\, \Omega$. The time taken for the capacitor to be charged to get $50 \,{V}$ is $....\,\times \,10^{-4}\,s.$View Solution
[Take $\ln 2=0.69]$
