A parallel plate capacitor has plate area $100\, m ^{2}$ and plate separation of $10\, m$. The space between the plates is filled up to a thickness $5\, m$ with a material of dielectric constant of $10 .$ The resultant capacitance of the system is $'x'$ $pF$. The value of $\varepsilon_{0}=8.85 \times 10^{-12} F \cdot m ^{-1}$ The value of $'x'$ to the nearest integer is............
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
- 1The two thin coaxial rings, each of radius $'a'$ and having charges $+{Q}$ and $-{Q}$ respectively are separated by a distance of $'s'.$ The potential difference between the centres of the two rings is :View Solution
- 2In the following diagram, the charge and potential difference across $8\, \mu F$ capacitance will be respectivelyView Solution
- 3Find equivalent capacitance across $AB$.....$ \mu F$ (all capacitances in $\mu F$)View Solution
- 4Minimum number of capacitors of $2\,\mu F$ capacitance each required to obtain a capacitor of $5\,\mu F$ will beView Solution
- 5Effective capacitance between $A$ and $B$ in the figure shown is (all capacitance are in $\mu F$)View Solution
- 6A sphere carrying charge of $Q$ having weight $w$ falls under gravity between a pair of vertical plates at a distance of $d$ from each other. When a potential difference $V$ is applied between the plates the acceleration of sphere changes as shown in the figure, to along line $BC$. The value of $Q$ is :-View Solution
- 7During charging a capacitor variation of potential $V$ of the capacitor with time $t$ is shown asView Solution
- 8The electric field near a conducting surface having a uniform surface charge density $\sigma $ is given byView Solution
- 9The charge deposited on $4\,\mu F$ capacitor in the circuit isView Solution
- 10The energy stored in a condenser of capacity $C$ which has been raised to a potential $V$ is given byView Solution