Question

what is the net capacitance between a and b​

Answer 1

Given:

A circuit consisting of capacitors have been provided. 3 capacitors each having capacitance C are connected between terminals A and B

To find:

Net capacitance between terminals A and B

Concept:

In this type of complex circuits , we need to first assign potential drops along each capacitor and then simplify the circuit.

After simplification of circuit, we shall assign series or parallel combination of the capacitors in between the specified terminal.

Calculation:

We can easily understand that the extreme right capacitor can be ignored from the circuit , because there is no potential difference across its plates.

So, we have only 2 capacitors present in parallel combination amidst A and B terminals.

We know that net capacitance in parallel combination is given by algebraic sum(addition) of individual capacitance.

$\therefore \: C_{net} = C_{1} + C_{2}$

$= > \: C_{net} = C + C$

$= > \: C_{net} = 2C$

So final answer:

Net capacitance of circuit is 2C