List of top Physics Questions on capacitor with a dielectric

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 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:

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.

A parallel plate capacitor with plate area \( A \) and plate separation \( d \) has a capacitance \( C_0 \). A slab of dielectric constant \( K \) having area \( A \) and thickness \( \left(\frac{d}{4}\right) \) is inserted in the capacitor, parallel to the plates. Find the new value of its capacitance.