List of top Physics Questions on Capacitors asked in JEE Main

A sphere of capacitance \(100\,\text{pF}\) is charged to a potential of \(100\,\text{V}\). Another identical uncharged metal sphere is brought in contact with the charged sphere, then the change in the total energy stored on these spheres, when they touch is \(\alpha \times 10^{-7}\,\text{J}\). The value of \(\alpha\) is _____. (combined capacitance of spheres is \(200\,\text{pF}\)).

From the circuit given below, the capacitance between terminals A and B shown in the circuit is _______ $\mu\text{F}$.
(take $C_1 = C_2 = C_3 = 1 \mu\text{F}$ and $C_4 = 2 \mu\text{F}$.)

A parallel plate air capacitor is connected to a battery. The plates are pulled apart at uniform speed \(v\). If \(x\) is the separation between the plates at any instant, then the time rate of change of electrostatic energy of the capacitor is proportional to \(x^\alpha\), where \(\alpha\) is ______.

Parallel plate capacitor... separation 5 mm... mica sheet 2 mm... draws 25\% more charge. Dielectric constant is ___.

Two capacitors \( C \) and \( 2C \) charged to \( V \) and \( 2V \) respectively are connected in parallel with opposite polarity. The common potential is:

A capacitor of capacitance 900 μF is charged by a 100 V battery. The capacitor is disconnected from the battery and connected to another uncharged identical capacitor such that one plate of the uncharged capacitor is connected to the positive plate and another plate of the uncharged capacitor is connected to the negative plate of the charged capacitor. The loss of energy in this process is measured as \(x \times 10^{-2}\) J. The value of \(x\) is: