Two capacitors C_1 and C_2 = 2C_1 are connect | vedclass

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

Question

(D) Initially,capacitor $C_1$ has charge $Q$ and $C_2$ is uncharged. When the switch is closed,charge flows until both capacitors reach the same poten

Vedclass · Accepted Answer

$\frac{Q}{3}, \frac{2Q}{3}$

Vedclass · Answer

(D) Initially,capacitor $C_1$ has charge $Q$ and $C_2$ is uncharged. When the switch is closed,charge flows until both capacitors reach the same potential $V$.In the steady state,the potential difference across both capacitors is equal:$V = \frac{Q_1}{C_1} = \frac{Q_2}{C_2}$Given $C_2 = 2C_1$,we have:$\frac{Q_1}{C_1} = \frac{Q_2}{2C_1} \implies Q_2 = 2Q_1$By the law of conservation of charge,the total charge remains constant:$Q_1 + Q_2 = Q$Substituting $Q_2 = 2Q_1$ into the equation:$Q_1 + 2Q_1 = Q \implies 3Q_1 = Q \implies Q_1 = \frac{Q}{3}$Then,$Q_2 = 2Q_1 = \frac{2Q}{3}$Thus,the charges on the capacitors are $\frac{Q}{3}$ and $\frac{2Q}{3}$.

Two capacitors $C_1$ and $C_2 = 2C_1$ are connected in a circuit with a switch between them as shown in the figure. Initially,the switch is open and $C_1$ holds charge $Q$. The switch is closed. At steady state,the charge on the capacitors will be:

Similar Questions

Two conducting spheres of radii $R_1$ and $R_2$ are charged with charges $Q_1$ and $Q_2$ respectively. When they are brought into contact with each other:

Energy $E$ is stored in a parallel plate capacitor $C_1$. An identical uncharged capacitor $C_2$ is connected to it,kept in contact with it for a while,and then disconnected. The energy stored in $C_2$ is

The energy stored in the capacitor shown in figure $(a)$ is $4.5 \times 10^{-6} \ J$. If the battery is disconnected and the capacitor is connected to another uncharged capacitor of $900 \ pF$ as shown in figure $(b)$,what will be the total energy of the system?

Two conducting spheres of radii $5\, cm$ and $10\, cm$ are given a charge of $15\,\mu C$ each. After the two spheres are joined by a conducting wire, the charge on the smaller sphere is.......$\mu C$.

Two metal spheres of radii $0.01 \ m$ and $0.02 \ m$ are given a charge of $15 \ mC$ and $45 \ mC$ respectively. They are then connected by a wire. The final charge on the first sphere is $\ldots \ldots \ldots \times 10^{-3} \ C$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module