Find the equivalent capacitance of the system | vedclass

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

Question

(B) $1$. Identify the circuit structure: The circuit consists of five capacitors,each of capacitance $C$. $2$. Simplify the rightmost part: The two ca

Vedclass · Accepted Answer

$1.6\,C$

Vedclass · Answer

(B) $1$. Identify the circuit structure: The circuit consists of five capacitors,each of capacitance $C$. $2$. Simplify the rightmost part: The two capacitors on the right are in series. Their equivalent capacitance is $C_{s1} = \frac{C 	imes C}{C + C} = \frac{C}{2}$. $3$. Simplify the middle part: This $C_{s1} = \frac{C}{2}$ is in parallel with the middle vertical capacitor $C$. Their equivalent is $C_{p1} = C + \frac{C}{2} = \frac{3C}{2}$. $4$. Simplify the remaining series part: This $C_{p1} = \frac{3C}{2}$ is in series with the top horizontal capacitor $C$. Their equivalent is $C_{s2} = \frac{C 	imes (3C/2)}{C + (3C/2)} = \frac{3C^2/2}{5C/2} = \frac{3C}{5}$. $5$. Final parallel combination: This $C_{s2} = \frac{3C}{5}$ is in parallel with the leftmost vertical capacitor $C$. The total equivalent capacitance is $C_{eq} = C + \frac{3C}{5} = \frac{8C}{5} = 1.6\,C$.

Find the equivalent capacitance of the system of capacitors between points $A$ and $B$ as shown in the figure.

Similar Questions

Three capacitors $C_1$, $C_2$ and $C_3$ are connected to a voltage source $V$ as shown in the figure. The voltage across $C_3$ will be:

Find the equivalent capacitance between point $A$ and $B$. (in $C$)

What is series connection of capacitors? And what is parallel connection of capacitors?

Three capacitors of capacitance $C$ ($\mu F$) are connected in parallel, and this combination is connected in series with another capacitor of capacitance $C$. If the effective capacitance is $3.75 \mu F$, then the capacity of each capacitor is: (in $\mu F$)

The equivalent capacitance between the points $A$ and $B$ in the given diagram is

Vedclass Test Series

Exam Paper Generator

Online Exam Module