iCON Education - Capacitor AP-EAPCET Test

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

$1250 \times 10^{-12} \mathrm{Cm}^{-2}$

$250 \times 10^{-12} \mathrm{Cm}^{-2}$

$125 \times 10^{-9} \mathrm{Cm}^{-2}$

$250 \times 10^{-9} \mathrm{Cm}^{-2}$

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

AP EAPCET 2025 - 27th May Morning Shift Physics - Capacitor Question 1 English

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 the potential difference across the plates of $2 \mu \mathrm{~F}$ capacitor 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 capacitor is

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

AP EAPCET 2025 - 24th May Morning Shift Physics - Capacitor Question 3 English

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 electrostatic potential energy of the combined system is

$\frac{C}{4}\left(V_1^2-V_2^2\right)$

$\frac{C}{4}\left(V_1^2+V_2^2\right)$

$\frac{C}{4}\left(V_1-V_2\right)^2$

$\frac{C}{4}\left(V_1+V_2\right)^2$

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

$30 \mu \mathrm{~F}$

$270 \mu \mathrm{~F}$

$90 \mu \mathrm{~F}$

$10 \mu \mathrm{~F}$

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

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

$100 \times 10^{-4} \mathrm{~N}-\mathrm{m}$

$50 \times 10^{-4} \mathrm{~N}-\mathrm{m}$

$25 \times 10^{-4} \mathrm{~N}-\mathrm{m}$

$75 \times 10^{-4} \mathrm{~N}-\mathrm{M}$

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 constant 5 , the capacitance of the capacitor is

$400 \mu \mathrm{~F}$

$40 \mu \mathrm{~F}$

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 decreased by $25 \%$ of its initial value, then the dielectric constant of the dielectric material 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

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

AP EAPCET 2024 - 22th May Morning Shift Physics - Capacitor Question 15 English

$10 \mu \mathrm{~F}$

$12 \mu \mathrm{~F}$

$16 \mu \mathrm{~F}$

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 difference is maintained. The dielectric constant of the material (slab) is

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 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 AP EAPCET 2024 - 21th May Morning Shift Physics - Capacitor Question 18 English

AP EAPCET 2024 - 21th May Morning Shift Physics - Capacitor Question 18 English

$\tau_A=\frac{1}{4} \mathrm{~s}$ and $\tau_B=5 \mathrm{~s}$

$\tau_A=\frac{1}{2} \mathrm{~s}$ and $\tau_B=\frac{1}{5} \mathrm{~s}$

$\tau_A=4 \mathrm{~s}$ and $\tau_B=5 \mathrm{~s}$

$\tau_A=\frac{1}{3} \mathrm{~s}$ and $\tau_B=10 \mathrm{~s}$

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

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 AP EAPCET 2024 - 20th May Morning Shift Physics - Capacitor Question 20 English

AP EAPCET 2024 - 20th May Morning Shift Physics - Capacitor Question 20 English

$\frac{1}{2}\left(V_1+V_2\right)$

$\frac{C_2 V_2+C_1 V_2}{C_1+C_2}$

$\frac{C_1 V_1+C_2 V_2}{C_1+C_2}$

$\frac{C_2 V_1-C_1 V_2}{C_1+C_2}$

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 AP EAPCET 2024 - 19th May Evening Shift Physics - Capacitor Question 22 English

AP EAPCET 2024 - 19th May Evening Shift Physics - Capacitor Question 22 English

$32 \mu \mathrm{~F}$

$16 \mu \mathrm{~F}$

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

AP EAPCET 2024 - 18th May Morning Shift Physics - Capacitor Question 21 English

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

AP EAPCET 2022 - 5th July Morning Shift Physics - Capacitor Question 23 English

$\frac{9}{4} \mu \mathrm{F}$

$\frac{4}{5} \mu \mathrm{F}$

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 shown in the figure. Find the charge on $C_3$ after equilibrium has reached is

AP EAPCET 2022 - 4th July Morning Shift Physics - Capacitor Question 24 English

$4.5 \times 10^{-6} \mathrm{C}$

$3.5 \times 10^{-6} \mathrm{C}$

$2.5 \times 10^{-6} \mathrm{C}$

$1.5 \times 10^{-5} \mathrm{C}$

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 the potential difference across the capacitor.

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 difference between points $a$ and $b$ is

AP EAPCET 2021 - 19th August Evening Shift Physics - Capacitor Question 26 English

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

AP EAPCET 2021 - 19th August Morning Shift Physics - Capacitor Question 27 English

4 $\propto$ F and 133 $\propto$ C

164 $\propto$ F and 150 $\propto$ C

15 $\propto$ F and 50 $\propto$ C

4 $\propto$ F and 50 $\propto$ C