Four identical capacitors and three identical | vedclass

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

Question

(D) In the steady state,the capacitors act as open circuits. The current $i$ flows only through the middle resistor and the battery circuit.The equiva

Vedclass · Accepted Answer

$\frac{ECR}{2(R + r)}$

Vedclass · Answer

(D) In the steady state,the capacitors act as open circuits. The current $i$ flows only through the middle resistor and the battery circuit.The equivalent resistance of the circuit is $R_{eq} = R + r$.The current flowing through the middle branch is $i = \frac{E}{R + r}$.The potential difference across the middle branch (points $a$ and $b$) is $V_{ab} = iR = \frac{ER}{R + r}$.The top branch consists of two capacitors $C$ in series,which is equivalent to a single capacitor of capacitance $C_{eq} = \frac{C}{2}$.Since the top branch is connected in parallel to the middle branch,the potential difference across the combination of two capacitors is $V_{ab} = \frac{ER}{R + r}$.The charge $q$ on each capacitor in the series combination is the same as the charge on the equivalent capacitor:$q = C_{eq} V_{ab} = \left( \frac{C}{2} \right) \left( \frac{ER}{R + r} \right) = \frac{ECR}{2(R + r)}$.

Four identical capacitors and three identical resistors are connected to a battery with $emf$ $E$ and internal resistance $r$ as shown in the figure. Find the charge on each capacitor.

Similar Questions

$A$ capacitor of $2\,\mu F$ capacitance is charged steadily from $0$ to $5\,C$. Which of the following graphs correctly represents the variation of potential difference $(V)$ across its plates with respect to the charge $(Q)$ on the capacitor?

From a supply of identical capacitors rated $8 \mu F, 250 V$,the minimum number of capacitors required to form a composite $16 \mu F, 1000 V$ capacitor is:

$n$ small spherical drops of the same size, each charged to a potential $V$, coalesce to form a single big drop. The potential of the big drop is:

In the given capacitive network,the resultant capacitance between points $A$ and $B$ is: (in $\mu F$)

Four capacitors and a battery are connected as shown. The potential drop across the $7 \mu F$ capacitor is $6 \ V$. Then the:

Vedclass Test Series

Exam Paper Generator

Online Exam Module