Three capacitors are connected as shown in th | vedclass

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

Question

(A) Let the potential at node $A$ be $V_A$. Applying Kirchhoff's Current Law $(KCL)$ at node $A$,the sum of charges on the plates connected to node $A

Vedclass · Accepted Answer

$6$

Vedclass · Answer

(A) Let the potential at node $A$ be $V_A$. Applying Kirchhoff's Current Law $(KCL)$ at node $A$,the sum of charges on the plates connected to node $A$ must be zero (assuming the plates were initially uncharged):$C_1(V_A - 6) + C_2(V_A - 6) + C_3(V_A - 0) = 0$Given $C_1 = 2 \, \mu F$,$C_2 = 2 \, \mu F$,and $C_3 = 4 \, \mu F$:$2(V_A - 6) + 2(V_A - 6) + 4(V_A) = 0$$2V_A - 12 + 2V_A - 12 + 4V_A = 0$$8V_A = 24$$V_A = 3 \, V$Now,the charge on capacitor $C_1$ is $Q_1 = C_1(6 - V_A) = 2 \, \mu F 	imes (6 - 3) \, V = 2 \, \mu F 	imes 3 \, V = 6 \, \mu C$.

Three capacitors are connected as shown in the figure. Then the charge on capacitor $C_1$ is.....$\mu C$.

Similar Questions

Calculate the amount of charge on the capacitor of $4\, \mu \text{F}$ in the given circuit. The internal resistance of the battery is $1\, \Omega$. (in $\mu \text{C}$)

$A$ capacitor of capacity $C$ is connected to a battery of potential $V$ in parallel. The distance between its plates is reduced to half at once,while the battery remains connected. Then,the energy supplied by the battery to charge the capacitor to potential $V$ again is:

The resultant capacitance between $A$ and $B$ in the following figure is equal to.....$\mu F$

For the given circuit,find the charge on the $4\ \mu F$ capacitor in $\mu C$.

For the given circuit,find the voltage across the $2\ \mu F$ capacitor. (in $V$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module