Capacitor PYQs - Last 5 Years

Four capacitors are connected as shown in the figure. If $C_1, C_2, C_3$ and $C_4$ are in the ratio of $1: 2: 3: 4$, then the ratio of the charges on the capacitors $C_2$ and $C_4$ is

If a dielectric slab of dielectric constant 3 is introduced between the plates of a capacitor having electric field $15 \pi \mathrm{NC}^{-1}$, then the electric displacement is

A capacitor of capacitance $2 \mu \mathrm{~F}$ is charged with the help of a 60 V battery. After disconnecting the battery, if this capacitor is connected in parallel with another uncharged capacitor of capacitance $l \mu \mathrm{~F}$, then...

In the given circuit, the potential difference across the plates of the capacitor $C$ in steady state is

The energy stored in a capacitor of capacitance $10 \mu \mathrm{~F}$ when charged to a potential of 6 kV is

A parallel plate capacitor has plates of area $0.4 \pi \mathrm{~m}^2$ and spacing of 0.5 mm . If a slab of thickness 0.5 mm and dielectric constant 4.5 is introduced in between the plates of the capacitor, then the capacitance of the capaci...

The capacitance of a spherical capacitor is 100 pF . If the spacing between the two spheres is 1 cm , then the radius of the inner sphere of the capacitor is

If 27 indentical charged conducting spheres each of capacitance $10 \mu \mathrm{~F}$ combine to form a big sphere, then the capacitance of the big sphere is

One of the two identical capacitors having the same capacitance $C$, is charged to a potential $V_1$ and the other is charged to a potential $V_2$. If they are connected with their like plates together, then the decrease in the electrostati...

The energy stored in a capacitor is $W$. To double the charge on the plates of the capacitor, the additional work to be done is

A wire of length 10 m carrying current of 1 A is bent in to a circular loop. If a magnetic field of $2 \pi \times 10^{-4} \mathrm{~T}$ is applied on the loop, then the maximum torque acting on it is

The radii of the inner and outer spheres of a spherical capacitor are 8 cm and 9 cm respectively. The outer sphere is earthed and the inner sphere is charged. If the space between the concentric spheres is filled with a liquid of dielectric...

A capacitor of capacitance $2 \mu \mathrm{~F}$ is charged to 50 V and then disconected from the source. Later the gap between the plates of the capacitor is filled with a dielectric material. If the energy stored in the capacitor is decreas...

Eight capacitors each of capacity $2 \mu \mathrm{~F}$ are arranged as shown in figure. The effective capacitance between $A$ and $B$ is

The space between the plates of a parallel plate capacitor is halved and a dielectric medium of relative permittivity 10 is introduced between the plates. The ratio of the final and initial capacitances of the capacitor is

Two figures are shown as Fig. $A$ and Fig. $B$. The time constant of Fig. $A$ is $\tau_A$ and time constant of Fig. $B$ is $\tau_B$. Then

When a parallel plate capacitor is charged up to 95 V , its capacitance is $C$. If a dielectrtic slab of thickness 2 mm is inserted between plates and distance between the plates is increased by 1.6 mm such that the same potential differenc...

The capacitance of an isolated sphere of radius $r_1$ is increased by 5 times, when it is enclosed by an earthed concentric sphere of radius $r_2$. The ratio of their radii is

Two condensers $C_1$ and $C_2$ in a circuit are joined as shown in the figure. The potential of point $A$ is $V_1$ and that of point $B$ is $V_2$. The potential at point $D$ will be

Three parallel plate capacitors of capacitances $4 \mu \mathrm{~F}$, $6 \mu \mathrm{~F}$ and $12 \mu \mathrm{~F}$ are first connected in series and then in parallel. The ratio of the effective capacitances in the two cases is

Four condensers each of capacitance $8 \mu \mathrm{~F}$ are joined as shown in the figure. The equivalent capacitance between the points $A$ and $B$ will be

In the given circuit, the potential difference across $5 \mu \mathrm{~F}$ capacitor is

Two square shaped metal plates of side 1 m , kept 0.01 m apart in air from a parallel plate capacitor. It is connected to a battery of 500 V . The plates of the capacitor are then immersed in an insulating oil by lowering the plates vertica...

Two capacitors of capacity $4 \mu \mathrm{~F}$ and $6 \mu \mathrm{~F}$ are connected in series to a 500 V battery. The potential difference across $4 \mu \mathrm{~F}$ capacitor is

The capacitance between the points A and B in the following figure.

A capacitor of capacitance \(C_1=1 \mu \mathrm{F}\) is charged using a 9 V battery. \(C_1\) is, then removed from the battery and connected to capacitors \(C_2\) and \(C_3\) of \(2 \mu \mathrm{F}\) and \(3 \mu \mathrm{F}\), respectively as ...

A 60 \(\mu\)F parallel plate capacitor whose plates
are separated by 6 mm is charged to 250 V,
and then the charging source is removed.
When a slab of dielectric constant 5 and
thickness 3 mm is placed between the plates,
find the change in...

In the given circuit, if the potential
difference between A and B is 80 V, then the
equivalent capacitance between A and B and
the charge on 10 \(\propto\) F capacitor respectively,
are

Four capacitors with capacitances \(C_1=l \propto \mathrm{F}, C_2=1.5 \propto \mathrm{F}, C_3=2.5 \propto \mathrm{F}\) and \(C_4=0.5 \propto \mathrm{F}\) are connected as shown and are connected to a \(30 \mathrm{~V}\) source. The potential...