Two insulated metallic spheres of $3\,\mu F$ and $5\,\mu F$ capacitances are charged to $300\, V$ and $500\,V$ respectively. The energy loss, when they are connected by a wire is
Diffcult
Download our app for free and get started
(c) $\Delta U = \frac{1}{2}\frac{{{C_1}{C_2}{{({V_2} - {V_1})}^2}}}{{({C_1} + {C_2})}}$$ = \frac{{(3 \times 5) \times {{10}^{ - 12}} \times {{(500 - 300)}^2}}}{{(3 + 5) \times {{10}^{ - 6}}}}$
$ = \frac{{15 \times {{10}^{ - 12}} \times 4 \times {{10}^4}}}{{8 \times {{10}^{ - 6}}}} = 0.0375\,J$
$ = \frac{{15 \times {{10}^{ - 12}} \times 4 \times {{10}^4}}}{{8 \times {{10}^{ - 6}}}} = 0.0375\,J$
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 magnitude of electric field on the surface of a uniformly charged metalic spherical shell is $E$. If a hole is made in it using a insulating device, then the magnitude of electric field in the hole will beView Solution
- 2Two spherical conductors $A$ and $B$ of radius $a$ and $b (b > a)$ are placed in air concentrically $B$ is given charge $+ Q$ coulomb and $A$ is grounded. The equivalent capacitance of these isView Solution
- 3In the electric field of a point charge $q$, a certain charge is carried from point $A$ to $B, C, D$ and $E$. Then the work doneView Solution
- 4Find net capacitance between $A$ and $B$View Solution
- 5Sixty four conducting drops each of radius $0.02 m$ and each carrying a charge of $5 \,\mu C$ are combined to form a bigger drop. The ratio of surface density of bigger drop to the smaller drop will be ............View Solution
- 6A parallel plate capacitor of capacitance $90\ pF$ is connected to a battery of $emf$ $20\ V$. If a dielectric material of dielectric constant $K = \frac{5}{3}$ is inserted between the plates, the magnitude of the induced charge will be.......$n $ $C$View Solution
- 7In the circuit shown in figure, the ratio of charges on $5\ \mu F$ and $4\ \mu F$ capacitor is :View Solution
- 8Two isolated conducting spheres $S_{1}$ and $S_{2}$ of radius $\frac{2}{3} R$ and $\frac{1}{3} R$ have $12\, \mu C$ and $-3\, \mu C$ charges, respectively, and are at a large distance from each other. They are now onnected by a conducting wire. A long time after this is done the charges on $S_{1}$ and $S_{2}$ are respectivelyView Solution
- 9Three capacitors $2$ $\mu F$, $3$ $\mu F$ and $5$ $\mu F$ can withstand voltages to $3\,V, 2\,V$ and $1\,V$ respectively. Their series combination can withstand a maximum voltage equal to.....$Volts$View Solution
- 10If the electric potential at any point $(x, y, z) \,m$ in space is given by $V =3 x ^{2}$ volt. The electric field at the point $(1,0,3) \,m$ will be ............View Solution