List of top Physics Questions on capacitor with a dielectric asked in CUET (UG)

A parallel plate capacitor is formed by two plates each of area \(30\pi\,\text{cm}^2\) separated by \(1\,\text{mm}\). A material of dielectric strength \(3.6\times10^7\,\text{V m}^{-1}\) is filled between the plates. If the maximum charge that can be stored in the capacitor without causing any dielectric breakdown is \(7\times10^{-6}\,\text{C}\), the value of dielectric constant of the material is
A slab of material of dielectric constant \(K\) has the same area \(A\) as the plates of a parallel plate capacitor, and has thickness \(\left(\frac{3}{4}d\right)\), where \(d\) is the separation of the plates. The capacitance when the slab is inserted between the plates is:
A parallel plate capacitor of capacitance \(5\ \mu F\) and plate separation \(6\ \text{cm}\) is connected to a \(1\ \text{V}\) battery and charged. A dielectric of dielectric constant \(4\) and thickness \(4\ \text{cm}\) is introduced between the plates of the capacitor. The additional charge that flows into the capacitor from the battery is:
A parallel plate capacitor with air between the plates has a capacitance of \(6pF\). What will be the capacitance if the distance between the plates is reduced to half and the space between them is filled with a substance of dielectric constant \(5\)?
Let a rod \(AB\) of length \(l\) having resistance \(r\) is moving perpendicular to a magnetic field \(B\) with constant velocity \(v\). If the ends of the rod are connected to a wire \(PQRS\) of negligible resistance, then current passing through the wire will be:
When a slab of insulating material $4\text{ mm}$ thick is introduced between the plates of a parallel plate capacitor of separation $4\text{ mm}$, it is found that the distance between the plates has to be increased by $3.2\text{ mm}$ to restore the capacity to its original value. The dielectric constant of the material is __________. Fill in the blank with the correct answer from the options given below.
A parallel plate capacitor having plate area 200 cm² and separation 2.0 mm holds a charge of 0.06 µC on applying a potential difference of 60 V. The dielectric constant of the material filled in between the plates is.