List of top Physics Questions on Combination of capacitors

Capacitors are manufactured with certain standard capacitances and working voltages. However, these standard values may not be the ones that are actually needed in a particular application. Two or more capacitors can be grouped in series or in parallel to achieve desired capacitance and voltage. When connected in series, the total capacitance decreases while the voltage rating increases, whereas in parallel connections, the total capacitance increases and maintains the same voltage rating. A capacitor stores energy in the electric field between its plates and stored energy is proportional to the square of the voltage and capacitance U = 1/2 CV2 , where symbols have their usual meanings.

Two capacitors, one of 3 F and the other of 6 F, are connected in series in the circuit as shown in the figure, for a long time.

Calculate the potential difference across the plates of capacitors X and Y.
Two parallel plate capacitors X and Y are connected in series to a 6 V battery. They have the same plate area and same plate separation but capacitor X has air between its plates, whereas capacitor Y contains a material of dielectric constant 4. Calculate the capacitances of X and Y, if the equivalent capacitance of the combination of X and Y is \(4\,\mu\text{F}\).
Calculate the potential difference across the plates of capacitors X and Y.
Two parallel plate capacitors X and Y are connected in series to a 6 V battery. They have the same plate area and same plate separation but capacitor X has air between its plates, whereas capacitor Y contains a material of dielectric constant 4. Calculate the capacitances of X and Y, if the equivalent capacitance of the combination of X and Y is \(4\,\mu\text{F}\).
When a parallel combination of 2 capacitors of 100 pF each is connected across a series combination of 2 capacitors of 200 pF each, the effective capacitance is
Three capacitors each of capacitance 10 $\mu$F are to be connected such that the effective capacitance becomes 15 $\mu$F. This can be done by connecting:
The capacitance of an infinite circuit formed by the repetition of the same link consisting of two identical capacitors, each with capacitance \(C\), as shown in the figure is:
Seven capacitors each of capacitance 2$\mu$F are to be connected in a configuration to obtain an effective capacitance (10/11)$\mu$F. The combination is \dots
Three capacitors are connected to a battery as shown in figure. The ratio of charge on capacitors $C_3$ and $C_1$ is ______.
(Assuming standard bridge configuration where $C_1$ is in series with parallel $C_2, C_3$ based on OCR artifacts, or the visual Delta where battery connects to the base)
The capacity of air filled parallel plate capacitor is $C_0$. One-half of the space between the plates is filled with a dielectric constant 'K' as shown in figure. The new capacity becomes $C_n$. The ratio $C_n$ to $C_0$ is ______.
Five capacitors, each of capacitance C, are connected as shown. The ratio of equivalent capacitance between P and R ($C_{PR}$) and the equivalent capacitance between P and Q ($C_{PQ}$) is
A parallel plate capacitor has plate area \( A \) and plate separation \( d \). Half of the space between the plates is filled with a material of dielectric constant \( K \) in two ways as shown in the figure. Find the values of the capacitance of the capacitors in the two cases. parallel plate capacitor
You are provided with a large number of 1 \(\mu\text{F}\) identical capacitors and a power supply of 1200 V. The dielectric medium used in each capacitor can withstand up to 200 V only. Find the minimum number of capacitors and their arrangement required to build a capacitor system of equivalent capacitance of 2 \(\mu\text{F}\) for use with this supply.
In the following circuit diagram, potential difference across \(4\mu F\) capacitor is:
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A parallel plate capacitor has plate area $40\, cm ^2$ and plates separation $2\, mm$ The space between the plates is filled with a dielectric medium of a thickness $1 \,mm$ and dielectric constant $5$ The capacitance of the system is :

Find the equivalent capacitance across points A and B in the given electric circuit.

As shown in the figure, two parallel plate capacitors having equal plate area of 200 cm2 are joined in such a way that a ≠ b. The equivalent capacitance of the combination is x ∈0 F. The value of x is_____.
The capacitance between the points \(A\) and \(B\) in the following figure is
A capacitor C1 of capacitance 5 μF is charged to a potential of 30 V using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor C2 of capacitance 10 μF as shown in figure. When the switch is closed charge flows between the capacitors. At equilibrium, the charge on the capacitor C2 is ____ μC.
capacitor C1 of capacitance 5 μF
Two identical capacitors have the same capacitance $C$. One of them is charged to potential $V_1$ and the other to $V_2$. The negative ends of the capacitors are connected together. When positive ends are also connected, the decrease in energy of the combined system is
The equivalent capacitance of the combination shown in the figure is :
Two capacitors of capacitance \(2\mu F\) and \(6\mu F\) are connected in series. A potential difference of 800 V is applied to the outer plates of the two capacitors system. The charge on each capacitor will be :
Five equal capacitors each with capacitance \(C\) are connected as shown in the figure. Then, the equivalent capacitance between \(A\) and \(B\) is:
Determine the charge on the capacitor in the following circuit :