Find the equivalent capacitance between A and | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) $1$. Let the nodes be $M$,$N$,and $L$ as shown in the diagram.$2$. The two $2 \ \mu F$ capacitors between $M$ and $N$ are in parallel,so their equ

Vedclass · Accepted Answer

$2/3$

Vedclass · Answer

(A) $1$. Let the nodes be $M$,$N$,and $L$ as shown in the diagram.$2$. The two $2 \ \mu F$ capacitors between $M$ and $N$ are in parallel,so their equivalent capacitance is $C_{MN} = 2 \ \mu F + 2 \ \mu F = 4 \ \mu F$.$3$. Now,the $4 \ \mu F$ capacitor (from $M$ to $N$) and the $4 \ \mu F$ capacitor (from $N$ to $L$) are in series. Their equivalent capacitance $C_{ML}$ is given by $\frac{1}{C_{ML}} = \frac{1}{4} + \frac{1}{4} = \frac{2}{4} = \frac{1}{2}$,so $C_{ML} = 2 \ \mu F$.$4$. The circuit now consists of three capacitors in series: the first $2 \ \mu F$ capacitor,the equivalent $2 \ \mu F$ capacitor $(C_{ML})$,and the last $2 \ \mu F$ capacitor.$5$. The total equivalent capacitance $C_{eq}$ is $\frac{1}{C_{eq}} = \frac{1}{2} + \frac{1}{2} + \frac{1}{2} = \frac{3}{2}$.$6$. Therefore,$C_{eq} = 2/3 \ \mu F$.

Find the equivalent capacitance between $A$ and $B$ in $\mu F$.

Similar Questions

Three parallel plate air capacitors are connected in parallel. Each capacitor has plate area $\frac{A}{3}$ and the separation between the plates is $d, 2d$ and $3d$ respectively. The equivalent capacity of the combination is ($\varepsilon_0 =$ absolute permittivity of free space).

Assertion $(A)$: Two condensers of same capacity are connected first in parallel and then in series. The ratio of resultant capacities in the two cases will be $4: 1$.
Reason $(R)$: In parallel,capacity increases and in series,capacity decreases.

What is the equivalent capacitance between the points $P$ and $Q$ in the combination of capacitors shown in the figure (in $\mu F$)?

In the given figure,the equivalent capacitance between points $A$ and $B$ is (in $C$)

What is the effective capacitance between $A$ and $B$ in the following figure in $\mu F$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module