A parallel plate capacitor with plates of area $1\,m^2$ each, are at a separation of $0.1\,m.$ If the electric field between the plates is $100\,N/C,$ the magnitude of charge on each plate
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A 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......$\%$
An uncharged parallel plate capacitor having a dielectric of constant $K$ is connected to a similar air cored parallel capacitor charged to a potential $V$. The two capacitors share charges and the common potential is $V$. The dielectric constant $K$ is
A 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 $....\,\times \,10^{-4}\,s.$
A capacitor of capacitance $10\, mF$ is connected to a battery of emf $2\,V.$ It is found that it takes $50\, ms$ for the charge on the capacitor to become $12.6 \,mC.$ Then the resistance of the circuit is :.......$\, k \Omega$(Take $1/e = 0.37$):-
A proton of mass $m$ and charge $e$ is projected from a very large distance towards an $\alpha$-particle with velocity $v$. Initially $\alpha$-particle is at rest, but it is free to move. If gravity is neglected, then the minimum separation along the straight line of their motion will be
A parallel plate capacitor $\mathrm{C}$ with plates of unit area and separation $\mathrm{d}$ is filled with a liquid of dielectric constant $\mathrm{K}=2$. The level of liquid is $\frac{\mathrm{d}}{3}$ initially. Suppose the liquid level decreases at a constant speed $V,$ the time constant as a function of time $t$ is Figure: $Image$
Three point charges $q, q$ and $-2 q$ are placed at the corners of an equilateral triangle of side '$L$'. Calculate work done by extemal force in moving all the charges far apart without acceleration