Kirchhoff's Voltage Law

Q. A capacitor, with air in between the plates, is charged to a potential $V_0$, now the battery is removed and a di-electric medium with di-electric constant $k$ is filled in the space between the plates, due to this the potential difference is dropped to $\frac{V_0}{10}$. Find the value of $k?$

1. $1.6$
2. $5$
3. $10$
4. $8$

Q. A capacitor of capacitance $C$ is charged to a potential difference $V$ from a cell and then disconnected from it. A charge $+Q$ is now given to its positive plate. The potential difference across the capacitor is now

1. $V+\frac{Q}{2C}$
2. $V+\frac{Q}{C}$
3. $V-\frac{Q}{C}$
4. $V$

Q. Two equal positive charges are kept at points $\text{A}$ and $\text{B}$. The electric potential at the points between $\text{A}$ and $\text{B}$ (excluding the points $A\text{and}B$) is studied while moving from $\text{A}$ to $\text{B}$. Then the electric potential will

1. first decrease and then increase
2. continously decrease
3. first increase and then decrease
4. continously increase

Q. The incorrect option in the given circuit if the reading of ammeter is zero is

1. The value of ${\epsilon }_1$ will be $\frac{\epsilon (R+r)}{R}$
2. Current in $R$ is $\frac{{\epsilon }_1}{r+R}$
3. Value of ${\epsilon }_1$ will be $\epsilon$
4. Potential across $2R$ is zero.

Q. A part of the circuit as shown in the figure. All the capacitors have capacitance of $2\mu F$, then charge on

1. capacitor $C_1$ is zero
2. capacitor $C_2$ is zero
3. capacitor $C_3$ is zero
4. any capacitor cannot be determined

Q. A part of the circuit as shown in the figure. All the capacitors have capacitance of $2\mu F$, then charge on

1. capacitor $C_1$ is zero
2. capacitor $C_2$ is zero
3. capacitor $C_3$ is zero
4. any capacitor cannot be determined

Q. Two equal positive charges are kept at points $\text{A}$ and $\text{B}$. The electric potential at the points between $\text{A}$ and $\text{B}$ (excluding the points $A\text{and}B$) is studied while moving from $\text{A}$ to $\text{B}$. Then the electric potential will

1. continously increase
2. continously decrease
3. first decrease and then increase
4. first increase and then decrease

Q. An air capacitor of capacitance $10\mu \text{F}$ is connected to a battery of $10\text{V}$. Now the space between its plates is completely filled with an insulator $(K=2)$. The magnitude of induced charge on the dielectric is

1. $100\mu \text{C}$
2. $25\mu \text{C}$
3. $50\mu \text{C}$
4. $200\mu \text{C}$

Q. If deflection of galvanometer is zero, then value of E is