
What is the equivalent capacitance of the three capacitors?
Answer
497.1k+ views
Hint :A capacitor is an electrical energy storage device that operates in an electric field. It's a two-terminal passive electrical component. Capacitance is the term used to describe the effect of a capacitor. While there is some capacitance between any two electrical conductors in close proximity in a circuit, a capacitor is a component that is specifically intended to provide capacitance to a circuit. Originally, the capacitor was known as a condenser or condenser.
Complete Step By Step Answer:
When capacitors are linked in series, the overall capacitance is lower than the individual capacitances of the series capacitors. When two or more capacitors are linked in series, the result is a single (equivalent) capacitor with the sum total of the individual capacitors' plate spacings. As we've shown, increasing plate spacing while keeping all other parameters the same reduces capacitance. As a result, the overall capacitance is smaller than the sum of the capacitances of the individual capacitors.
$ \dfrac{1}{{{C}_{s}}}=\dfrac{1}{{{C}_{1}}}+\dfrac{1}{{{C}_{2}}}+\dfrac{1}{{{C}_{3}}} $
Calculating series total capacitance follows the same procedure as calculating parallel resistances.
When capacitors are linked in series, the overall capacitance equals the sum of the capacitances of the individual capacitors. When two or more capacitors are linked in parallel, the result is a single equivalent capacitor with the sum total of the individual capacitors' plate surfaces. As we've shown, increasing plate area while keeping all other parameters constant increases capacitance.
As a result, the overall capacitance is greater than the sum of the capacitances of the individual capacitors. Calculating parallel total capacitance follows the same procedure as calculating series resistances:
$ {{C}_{p}}={{C}_{1}}+{{C}_{2}}+{{C}_{3}} $
The sum of the reciprocals of individual capacitors equals the reciprocal of the equivalent capacitance of three capacitors in series.
Three capacitors linked in parallel have equivalent capacitance equal to the total of their equivalent capacitance.
Note :
As you may have seen, this is the polar opposite of the phenomena that resistors display. When using resistors, series connections provide additional results, but parallel connections produce reduced results. When it comes to capacitors, the opposite is true: parallel connections provide additional values, but series connections produce reduced values.
Complete Step By Step Answer:
When capacitors are linked in series, the overall capacitance is lower than the individual capacitances of the series capacitors. When two or more capacitors are linked in series, the result is a single (equivalent) capacitor with the sum total of the individual capacitors' plate spacings. As we've shown, increasing plate spacing while keeping all other parameters the same reduces capacitance. As a result, the overall capacitance is smaller than the sum of the capacitances of the individual capacitors.
$ \dfrac{1}{{{C}_{s}}}=\dfrac{1}{{{C}_{1}}}+\dfrac{1}{{{C}_{2}}}+\dfrac{1}{{{C}_{3}}} $
Calculating series total capacitance follows the same procedure as calculating parallel resistances.
When capacitors are linked in series, the overall capacitance equals the sum of the capacitances of the individual capacitors. When two or more capacitors are linked in parallel, the result is a single equivalent capacitor with the sum total of the individual capacitors' plate surfaces. As we've shown, increasing plate area while keeping all other parameters constant increases capacitance.
As a result, the overall capacitance is greater than the sum of the capacitances of the individual capacitors. Calculating parallel total capacitance follows the same procedure as calculating series resistances:
$ {{C}_{p}}={{C}_{1}}+{{C}_{2}}+{{C}_{3}} $
The sum of the reciprocals of individual capacitors equals the reciprocal of the equivalent capacitance of three capacitors in series.
Three capacitors linked in parallel have equivalent capacitance equal to the total of their equivalent capacitance.
Note :
As you may have seen, this is the polar opposite of the phenomena that resistors display. When using resistors, series connections provide additional results, but parallel connections produce reduced results. When it comes to capacitors, the opposite is true: parallel connections provide additional values, but series connections produce reduced values.
Recently Updated Pages
Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Physics: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Business Studies: Engaging Questions & Answers for Success

Trending doubts
Which are the Top 10 Largest Countries of the World?

What are the major means of transport Explain each class 12 social science CBSE

Draw a labelled sketch of the human eye class 12 physics CBSE

Why cannot DNA pass through cell membranes class 12 biology CBSE

Differentiate between insitu conservation and exsitu class 12 biology CBSE

Draw a neat and well labeled diagram of TS of ovary class 12 biology CBSE

