In the given circuit, ratio of charge stored in the capacitors $C, 2C, 3C, 4C, 5C$ is
Diffcult
Download our app for free and get started
So $\mathrm{V}_{\mathrm{AC}}=10 \mathrm{V} \quad, \quad$ charge on $5 \mathrm{\,C}$ is $\mathrm{q}_{5}$
$\mathrm{q}_{5}=5 \mathrm{\,C} \times \mathrm{V}=5 \mathrm{\,C} \times 10 \Rightarrow \mathrm{q}_{5}=50 \mathrm{\,C}$
$\mathrm{V}_{\mathrm{AB}}=6 \mathrm{\,V}$ and $\mathrm{V}_{\mathrm{BC}}=4 \mathrm{\,V}$
So change on $C$ is $q_{1}=C \times 6=6 \,C$
$\mathrm{q}_{2}=2 \mathrm{C} \times 4=8 \mathrm{\,C}$
$\mathrm{q}_{3}=3 \mathrm{C} \times 6=18 \mathrm{\,C}$
$q_{4}=4 C \times 4=16 \mathrm{\,C}$
$\therefore $ $\mathrm{q}_{1}: \mathrm{q}_{2}: \mathrm{q}_{3}: \mathrm{q}_{2}: \mathrm{q}_{5}=6 \mathrm{C}: 8 \mathrm{C}: 18 \mathrm{C}: 16 \mathrm{C}: 50 \mathrm{C}$
$=3: 4: 9: 8: 25$
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
- 1A capacitor of capacitance $15 \,nF$ having dielectric slab of $\varepsilon_{r}=2.5$ dielectric strength $30 \,MV / m$ and potential difference $=30\; volt$ then the area of plate is ....... $ \times 10^{-4}\; m ^{2}$View Solution
- 2Three capacitors $1, 2$ and $4\,\mu F$ are connected in series to a $10\,volt$ source. The charge on the plates of middle capacitor isView Solution
- 3View SolutionA capacitor is charged by using a battery which is then disconnected. A dielectric slab is introduced between the plates which results in
- 4Consider a thin spherical shell of radius $R$ with its centre at the origin, carrying uniform positive surface charge density. The variation of the magnitude of the electric field $|\vec{E}(r)|$ and the electric potential $V(r)$ with the distance r from the centre, is best represented by which graph?View Solution
- 5A dipole having dipole moment $p$ is placed in front of a solid uncharged conducting sphere as shown in the diagram. The net potential at point $A$ lying on the surface of the sphere is :-View Solution
- 6Two charges ${q_1}$ and ${q_2}$ are placed $30\,\,cm$ apart, shown in the figure. A third charge ${q_3}$ is moved along the arc of a circle of radius $40\,cm$ from $C$ to $D$. The change in the potential energy of the system is $\frac{{{q_3}}}{{4\pi {\varepsilon _0}}}k$, where $k$ isView Solution
- 7A cube of side $b$ has a charge $q$ at each of its vertices. Determine the potential and electric field due to this charge array at the centre of the cube.View Solution
- 8Two charges $ + 3.2 \times {10^{ - 19}}\,C$ and $ - 3.2 \times {10^{ - 19}}\,C$ kept $2.4\, \mathop A\limits^o $ apart forms a dipole. If it is kept in uniform electric field of intensity $4 \times {10^5}\,volt/m$ then what will be its electrical energy in equilibriumView Solution
- 9In a spherical condenser radius of the outer sphere is $R$. The different in the radii of outer and inner sphere in $x$. Its capacity is proportional toView Solution
- 10Seven capacitors, each of the capacitance $2\,\mu F$, are to be connected in a configuration to obtain an effective capacitance of $\left( {\frac{6}{{13}}} \right)\,\mu F$. Which of the combinations, shown in figures below, will achieve the desired value ?View Solution