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The Parallel Plate Capacitor - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

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  • Parallel plate capacitor is considered one of the most asked concept.

  • 75 Questions around this concept.

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. As shown in the figure, a very thin sheet of aluminium is placed in between the plates of the condenser. Then the capacity

Between the plates of a parallel plate condenser, a plate of thickness $t_1$ and dielectric constant $k_1$ is placed. In the rest of the space, there is another plate of thickness $t_2$ and dielectric constant $k_2$. The potential difference across the condenser will be

Plate separation of a $15 \mu\mathrm{~F}$ capacitor is 2 mm. A dielectric slab $(K=2)$ of thickness 1 mm is inserted between the plates. Then new capacitance is given by

A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor

When a dielectric material is introduced between the plates of a charge condenser, then electric field between the plates

Two identical thin metal plates has charge $\mathrm{q}_1$ and $\mathrm{q}_2$ respectively such that $\mathrm{q}_1>\mathrm{q}_2$. The plates were brought close to each other to form a parallel plate capacitor of capacitance C . The potential difference between them is :

A capacitor of capacitance C is charged to a potential V. The flux of the electric field through a closed surface enclosing the positive plate of the capacitor is :

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The capacity of parallel plate capacitor increases with the

Force of attraction between the plate of a parallel olate capacitor is:

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Consider a parallel plate capacitor of 8μF (micro-farad) with air filled in the gap between the plates. Now half of the space between the plates is filled with a dielectric of dielectric constant 4, as shown in the figure. The capacity of the capacitor changes to

Concepts Covered - 1

Parallel plate capacitor

Parallel plate capacitor - 

It consists of two large plates placed parallel to each other with a separation d which is very small in comparison to the two dimensions (length and breadth) of the plates . In an ideal capacitor, electric field resides in the region within the plates i.e., no electric field is outside the plates . So, the entire energy resides within the capacitor and no energy is, therefore, outside the capacitor. Electric field is directed from positive plate to negative plate in such a way that the lines emerge perpendicularly from positive plate and terminate perpendicularly to the negative plate.

                                         

Electric field between the plates - 

 

      

$
E=\frac{\sigma}{\varepsilon_0}=\frac{Q}{A \varepsilon_0}
$


Therefore, potential difference between the plates is

$
V=E d=\frac{Q d}{A \varepsilon_0}
$

and therefore capacitance $C=\frac{Q}{V}=\frac{\varepsilon_0 A}{d}$

 

 

Force Between the Plates of a Parallel-Plate Capacitor

                           

Let us consider a parallel-plate capacitor with plate area A. Suppose a positive charge $+Q$ is given to one plate and a negative charge -Q to the other plate. The electric field due to only the positive plate is $E=\sigma / 2 \varepsilon_0=Q / 2 A \varepsilon_0$ at all points if the plate is large. The negative charge -Q on the other plate finds itself in the field of this positive charge. Therefore, force on this plate is $F=E Q=Q^2 / 2 A \varepsilon$. This force will be attractive.

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Parallel plate capacitor

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