The Equivalent Capacitance Between A and B Is?

Q. The Equivalent Capacitance Between A and B is 

(A) C 

(B) 3C

(C) 9C

(D) 2C

The equivalent capacitance between A and B is option D, as

Starting three capacitors with capacitance C are coordinated in an equivalent blend, and the last capacitor with 6 C is coordinated in series with them.

An indistinguishable blueprint is shown underneath,

By and by, finding capacitance for beginning three capacitors having capacitance C each coordinated in an equivalent mix. The condition for equivalent blend, the recipe for net capacitance, is given as

Cnet = C1 + C2 + C3 + …. + Cn

Here, only three capacitances are there, so the recipe can be formed as

Cnet = C1 + C2 + C3

As shown by the request, C1 = C2 = C3

By summing the value of C1, C2 and C3 in the above condition, we get

Cnet = C + C + C   ∴  Cnet = 3C

Capacitors having capacitances are coordinated in series with Cnet.

For series blend, the condition for net capacitance is given as,

1C’net = 1C1 + 1C2 + 1C3 + …. + 1Cn

 Here, only two capacitances are there so that the recipe can be formed as

1/Cnet = 1/C1 + 1/C2

 According to the request, 1/C’net = 1/Cnet + 1/6C.

 Subbing the value of Cnetin above recipe, we get

 1/C’net = 1/3C + 1/6C⇒1/C’net = 3/6C⇒1/C’net = 1/2 C∴ C’net=2C

Along these lines, a similar capacitance between An and B is 2C.

In this manner, decision (D) is the best choice.

Capacitance is the capacity of a capacitor to store the charge. When the charge is given to a guide, then its standard increments. The SI unit of capacitance is the Farad (abridged F). The CGS unit of capacitance is statfarad (abridged statF).