Find the equivalent capacitance of the given circuit:
A \[3C/973675397367532\]
B \[C/3\]
C \[3C\]
D \[C\]
Answer
645.3k+ views
Hint:In this question, first the equivalent circuit needs to be drawn between the given terminal points to identify whether the given capacitors are in series or in parallel. Then apply the formula of the series combination or the parallel combination to calculate the equivalent capacitance.
Complete step by step solution:
In this question, the circuit of the capacitance is given which has three capacitors and we need to calculate the equivalent capacitance of the circuit.
The given circuit is,
From the above diagram we can see that the potential difference between each capacitor is the same, so all the capacitors between point A and B are in parallel. Now, we consider the equivalent circuit of the capacitor as,
When capacitors are connected in parallel the equivalent capacitance, \[{C_T}\] of the circuit is adequate to the sum of all the individual capacitors connected together.
By Parallel connection of Capacitor equation, we will calculate the equivalent capacitance of the capacitor as,
\[{C_T}{\text{ }} = {\text{ }}C{\text{ }} + {\text{ }}C{\text{ }} + \,{\text{ }}C\]
After simplification, we get
\[\therefore {C_T} = {\text{ }}3C\]
Thus, the equivalent capacitance of the capacitor between the point A and B is $3C$.
Hence, the correct option is C.
Note:As we know that, if the capacitors are in parallel then the equivalent capacitance of the capacitor is the sum of the individual capacitors but if the capacitors are in series then the capacitance of the capacitor is determined by $\dfrac{1}{{{C_T}}} = \dfrac{1}{{{C_1}}} + \dfrac{1}{{{C_973675397367532}}} + \dfrac{1}{{{C_3}}}$. Where, ${C_1},{C_973675397367532},{C_3}$ are the individual capacitance and in the parallel circuit the capacitor, the capacitance increases while, in the series combination, the capacitance of the circuit decreases.
Complete step by step solution:
In this question, the circuit of the capacitance is given which has three capacitors and we need to calculate the equivalent capacitance of the circuit.
The given circuit is,
From the above diagram we can see that the potential difference between each capacitor is the same, so all the capacitors between point A and B are in parallel. Now, we consider the equivalent circuit of the capacitor as,
When capacitors are connected in parallel the equivalent capacitance, \[{C_T}\] of the circuit is adequate to the sum of all the individual capacitors connected together.
By Parallel connection of Capacitor equation, we will calculate the equivalent capacitance of the capacitor as,
\[{C_T}{\text{ }} = {\text{ }}C{\text{ }} + {\text{ }}C{\text{ }} + \,{\text{ }}C\]
After simplification, we get
\[\therefore {C_T} = {\text{ }}3C\]
Thus, the equivalent capacitance of the capacitor between the point A and B is $3C$.
Hence, the correct option is C.
Note:As we know that, if the capacitors are in parallel then the equivalent capacitance of the capacitor is the sum of the individual capacitors but if the capacitors are in series then the capacitance of the capacitor is determined by $\dfrac{1}{{{C_T}}} = \dfrac{1}{{{C_1}}} + \dfrac{1}{{{C_973675397367532}}} + \dfrac{1}{{{C_3}}}$. Where, ${C_1},{C_973675397367532},{C_3}$ are the individual capacitance and in the parallel circuit the capacitor, the capacitance increases while, in the series combination, the capacitance of the circuit decreases.
Recently Updated Pages
Which of the following graphs shows the variation of class 1973675397367532 physics CBSE

Draw a labelled diagram of the human male reproductive class 1973675397367532 biology CBSE

Describe the experiment to compare the emf of two cells class 1973675397367532 physics CBSE

What is standard hydrogen electrode

What is conventional current and electric current class 1973675397367532 physics CBSE

973675397367532Bromopentane is treated with an alcoholic KOH solution class 1973675397367532 chemistry CBSE

Trending doubts
Draw a labelled sketch of the human eye class 1973675397367532 physics CBSE

Which are the Top 10 Largest Countries of the World?

A member of Simon commission later became Prime Minister class 1973675397367532 social science CBSE

Draw ray diagrams each showing i myopic eye and ii class 1973675397367532 physics CBSE

Give one example of a reptile that is viviparous class 1973675397367532 biology CBSE

Which is the correct genotypic ratio of mendel dihybrid class 1973675397367532 biology CBSE

