A capacitor is connected to a $20\, {V}$ battery through a resistance of $10\, \Omega .$ It is found that the potential difference across the capacitor rises to $2\, {V}$ in $1\, \mu {s}$. The capacitance of the capacitor is $....\,\mu {F}$ Given : $\ln \left(\frac{10}{9}\right)=0.105$
JEE MAIN 2021, Diffcult
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 hemispherical bowl of mass $m$ is uniformly charged with charge density $'\sigma '$ . Electric potential due to charge distribution at a point $'A'$ is (which lies at centre of radius as shown).View Solution
- 2Three identical capacitors (initial charge zero) are connected in series combination and charged through a battery of emf $E$ . After removing battery two resistances are connected to these capacitors as given. The heat dissipated in each of the resistance isView Solution
- 3Two charged capacitors have their outer plates fixed and inner plates connected by a spring of force constant ' $k$ '. The charge on each capacitor is q. Find the extension in the spring at equilibriumView Solution
- 4The radius of a soap bubble whose potential is $16\,V$ is doubled. The new potential of the bubble will be.....$V$View Solution
- 5A parallel plate air capacitor has a capacitance $C$. When it is half filled with a dielectric of dielectric constant $5$, the percentage increase in the capacitance will be......$\%$View Solution
- 6A parallel plate capacitor having crosssectional area $A$ and separation $d$ has air in between the plates. Now an insulating slab of same area but thickness $d/2$ is inserted between the plates as shown in figure having dielectric constant $K (=4) .$ The ratio of new capacitance to its original capacitance will be,View Solution
- 7A parallel plate capacitor of plate area $A$ and plate separation $d$ is charged to potential $V$ and then the battery is disconnected. A slab of dielectric constant $k$ is then inserted between the plates of the capacitors so as to fill the space between the plates. If $Q,\;E$ and $W$ denote respectively, the magnitude of charge on each plate, the electric field between the plates (after the slab is inserted) and work done on the system in question in the process of inserting the slab, then state incorrect relation from the followingView Solution
- 8In a certain region of space, the potential is given by : $V = k[2x^2 - y^2 + z^2].$ The electric field at the point $(1, 1, 1) $ has magnitude =View Solution
- 9If a battery of voltage $V$ is connected across terminals $I$ of the block box shown in figure, an ideal voltmeter connected to terminals $II$ gives a reading of $V/2$, while if the battery is connected to terminals $II$, a voltmeter across terminals $I$ reads $V$. The black box may containView Solution
- 10An electron of mass $m$ and charge $e$ is accelerated from rest through a potential difference $V$ in vacuum. The final speed of the electron will beView Solution