In the given circuit,the charge on the 4, mu | vedclass

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

Question

(B) First,simplify the circuit. The $1\, \mu F$ and $5\, \mu F$ capacitors are in parallel,so their equivalent capacitance is $C_p = 1\, \mu F + 5\, \

Vedclass · Accepted Answer

$24$

Vedclass · Answer

(B) First,simplify the circuit. The $1\, \mu F$ and $5\, \mu F$ capacitors are in parallel,so their equivalent capacitance is $C_p = 1\, \mu F + 5\, \mu F = 6\, \mu F$.This $6\, \mu F$ capacitor is in series with the $4\, \mu F$ capacitor. Their equivalent capacitance is $C_s = \frac{4 	imes 6}{4 + 6} = 2.4\, \mu F$.This $2.4\, \mu F$ branch is in parallel with the $3\, \mu F$ capacitor across the $10\, V$ battery.The charge on the $2.4\, \mu F$ branch is $q = C_s 	imes V = 2.4\, \mu F 	imes 10\, V = 24\, \mu C$.Since the $4\, \mu F$ and $6\, \mu F$ (equivalent of $1\, \mu F$ and $5\, \mu F$) capacitors are in series,the charge on each of them is the same as the total charge on the branch,which is $24\, \mu C$.

In the given circuit,the charge on the $4\, \mu F$ capacitor will be.....$\mu C$.

Similar Questions

Four capacitors of equal capacitance have an equivalent capacitance $C_1$ when connected in series and an equivalent capacitance $C_2$ when connected in parallel. The ratio $\frac{C_1}{C_2}$ is:

In the arrangement of capacitors shown in the figure,if each capacitor is $9 pF$,then the effective capacitance between the points $A$ and $B$ is (in $pF$)

$A$ system of $2$ capacitors of capacitance $2 \mu F$ and $4 \mu F$ is connected in series across a potential difference of $6 \text{ V}$. The electric charge and energy stored in the system are

Three capacitors of capacitances $10 \mu F$,$5 \mu F$,and $20 \mu F$ are connected in series with a $14 \text{ V}$ $DC$ supply. The charge on the $5 \mu F$ capacitor is: (in $\mu C$)

In the given circuit,a charge of $+80 \ \mu C$ is given to the upper plate of the $4 \ \mu F$ capacitor. Then in the steady state,the charge on the upper plate of the $3 \ \mu F$ capacitor is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module