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A capacitor is a device that stores the energy into the electrical field in the form of electrical energy. It has two terminals. The capacitors are separated in the circuit by a dielectric material. A resistor dissipates the energy, but the capacitor does not; instead, it stores the energy in electrical energy in an electric field. If the plate size increases, the flow of electrons increases, ultimately increasing the capacitance of the circuit. Let’s learn about the capacitor and the series combination used in the capacitance circuit.
What is a capacitor?
A capacitor is a device that stores the energy into the electrical field in the form of electrical energy. It has two terminals. The capacitance of a capacitor is defined as the effect of the capacitor in between the two terminals.
Arrangement of the capacitor in a series combination
Capacitors are arranged in different combinations according to the need for an electric field. The combinations used are parallel and series combinations. When connected in the series, the capacitor combined, the overall capacitance will be less than the independent capacitance because the resistance in the series combination is more.
Capacitance depends on the combination of the capacitance.
If the three capacitors are connected in series, the overall effect will equal the single capacitor. They will have the sum of the spacings between the plates of the individual capacitors. This is the characteristic of the series combination.
If the spacing between the capacitors increases, then the capacitance will decrease, whereas if it decreases, the capacitance will increase.
Equation of the Capacitance in the series combination
In a series combination, the capacitors are connected in a straight line by keeping a space between them. In a series combination, the capacitance of the single capacitor is more than the capacitance of the whole circuit. The formula for finding the capacitance of the series combination is the same as that of the parallel combination of resistance. Only we have to replace the resistances with the capacitors, and we have to take the reciprocal of the parallel combination formula. The equation is as follows,
The equation for the Capacitors is connected in a series combination
The equation for the capacitors in the series combination is equal to the sum of the reciprocals of each capacitor connected in the series. This is the same as the formula for the parallel combination of the resistances.
In this type of circuit, the electrons discharging from the bottom will be equal to the electrons discharging from the top. Thus, we can say that the capacitance of the circuit increases. This is due to the availability of a single way for the electrons to flow in a series combination.
In this series combination circuit, the space distance between the capacitors is quite more as the space between the plates in the middle of the two capacitors gets added. The equation for the capacitors in series is as follows,
Derivation of equation of capacitors in a series combination
Let’s take the 3 capacitors, C1, C2, and C3.
The relation between the capacitance and the charge and voltage in the combination of capacitors id is given by,
Problem of Voltage in the Series Capacitors
Series combination of the capacitors is sometimes used to increase the voltage. In such a combination, the voltage is not divided equally. Leakage in the current may occur, which will lead to an increase in voltage across the circuit. This may lead to the overvoltage condition resulting in the destruction of one or more capacitors in a circuit.
Conclusion
Thus, we can conclude that when connected in the series, the overall capacitance will be less than the independent capacitance. The equation for the capacitors in the series combination equals the sum of the reciprocals of each capacitor connected in the series. If the spacing between the capacitors increases, then the capacitance will decrease, whereas if it decreases, the capacitance will increase. The current is constant in a series combination.
