Two capacitors are shown in the diagram. Each | vedclass

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

Question

(A) Initially,both capacitors are charged to potential $V_0$. The charge on capacitor $C$ is $Q_1 = C V_0$ and on capacitor $2C$ is $Q_2 = (2C) V_0 =

Vedclass · Accepted Answer

$\frac{3}{8} V_0$

Vedclass · Answer

(A) Initially,both capacitors are charged to potential $V_0$. The charge on capacitor $C$ is $Q_1 = C V_0$ and on capacitor $2C$ is $Q_2 = (2C) V_0 = 2 C V_0$.When dielectrics are inserted,the new capacitances become $C' = 2C$ and $C'' = 3(2C) = 6C$.Since the capacitors are disconnected from the battery before the key is closed,the total charge remains conserved. However,the problem implies the capacitors are connected in parallel when the key is closed.The new potential $V_{	ext{common}}$ across the parallel combination is given by the total charge divided by the total capacitance:$V_{	ext{common}} = \frac{Q_1 + Q_2}{C' + C''} = \frac{C V_0 + 2 C V_0}{2C + 6C} = \frac{3 C V_0}{8C} = \frac{3}{8} V_0$.

Two capacitors are shown in the diagram. Each is charged to potential $V_0$. If capacitor $C$ is filled with a dielectric of constant $2$ and capacitor $2C$ is filled with a dielectric of constant $3$,then the key is closed. The final voltage on the capacitor $C$ will be:

Similar Questions

The values of charges $q_1, q_2$ and $q_3$ as shown in the figure are:

The switch $S_w$ is shifted from position $1$ to position $2$ as shown in the figure. Heat generated in the circuit is

Three uncharged capacitors of capacitances $C_1$,$C_2$,and $C_3$ are connected as shown in the figure. If $A$,$B$,and $C$ are at potentials $V_1$,$V_2$,and $V_3$ respectively,then the potential at point $O$ is:

Four capacitors marked with their capacitances and breakdown voltages are connected as shown in the figure. The maximum $EMF$ of the source,so that no capacitor breaks down,is: (in $kV$)

In the circuit shown in the figure,four capacitors are connected to a battery. The charge on the $5 \ \mu\text{F}$ capacitor is ....... $\mu\text{C}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module