The resultant capacitance of the given circui | vedclass

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

Question

(A) To find the resultant capacitance between points $P$ and $Q$,we simplify the circuit step-by-step:$1$. The two capacitors of capacitance $C$ at th

Vedclass · Accepted Answer

$3C$

Vedclass · Answer

(A) To find the resultant capacitance between points $P$ and $Q$,we simplify the circuit step-by-step:$1$. The two capacitors of capacitance $C$ at the bottom are in parallel. Their equivalent capacitance is $C_{p1} = C + C = 2C$.$2$. This $2C$ is in series with the capacitor of $2C$ above it. Their equivalent capacitance is $C_{s1} = \frac{2C 	imes 2C}{2C + 2C} = \frac{4C^2}{4C} = C$.$3$. This $C$ is now in parallel with the other capacitor of capacitance $C$ in the middle. Their equivalent capacitance is $C_{p2} = C + C = 2C$.$4$. This $2C$ is in series with the top capacitor of $2C$. Their equivalent capacitance is $C_{s2} = \frac{2C 	imes 2C}{2C + 2C} = C$.$5$. Finally,this $C$ is in parallel with the rightmost capacitor of $2C$. The total equivalent capacitance is $C_{eq} = C + 2C = 3C$.

The resultant capacitance of the given circuit is

Similar Questions

Ten capacitors are connected in parallel to a battery of $V$ volts. If all capacitors are disconnected from the battery and then connected in series,what will be the voltage across the combination in terms of $V$ (in $V$)?

Two batteries and two capacitors are connected as shown in the figure. The charge on the $2\,\mu F$ capacitor is.....$\mu C$.

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).

In the given circuit,three capacitors $C_1$,$C_2$,and $C_3$ are connected to a battery of potential $V$. Which of the following conditions is correct?

Two capacitors $C_1 = 2 \,\mu F$ and $C_2 = 6 \,\mu F$ are connected in series. This combination is then connected in parallel with a third capacitor $C_3 = 4 \,\mu F$. This entire arrangement is connected to a battery of $2 \,V$. What is the energy supplied by the battery to charge the capacitors?

Vedclass Test Series

Exam Paper Generator

Online Exam Module