Effect of Dielectric Charging and Discharging of Capacitor
Capacitance

165993 Ten identical batteries each of emf $2 \mathrm{~V}$ are connected in series to a $8 \Omega$ resistor. If the current in the circuit is $2 \mathrm{~A}$, then the internal resistance of each battery is

1 $0.2 \Omega$
2 $0.3 \Omega$
3 $0.4 \Omega$
4 $0.5 \Omega$
5 $1 \Omega$
Capacitance

165994 An uncharged parallel plate capacitor filled with a dielectric of dielectric constant $K$ is connected to an air filled identical parallel capacitor charged to potential $V_{1}$. If the common potential is $V_{2}$, the value of $K$ is

1 $\frac{V_{2}-V_{1}}{V_{2}}$
2 $\frac{V_{1}}{V_{1}-V_{2}}$
3 $\frac{V_{2}}{V_{1}-V_{2}}$
4 $\frac{V_{1}-V_{2}}{V_{2}}$
5 $\frac{V_{1}-V_{2}}{V_{1}+V_{2}}$
Capacitance

165995 The plates of a parallel plate capacitor with air as medium are separated by a distance of 8 mm. A medium of dielectric constant 2 and thickness $4 \mathrm{~mm}$ having the same area is introduced between the plates. For the capacitance to remain the same, the distance between the plates is

1 $8 \mathrm{~mm}$
2 $6 \mathrm{~mm}$
3 $4 \mathrm{~mm}$
4 $12 \mathrm{~mm}$
5 $10 \mathrm{~mm}$
Capacitance

165996 Two identical air core capacitors are connected in series to a voltage source of $15 \mathrm{~V}$. If one of the capacitors is filled with a medium of dielectric constant 4 , the new potential across this capacitor is :

1 $5 \mathrm{~V}$
2 $8 \mathrm{~V}$
3 $10 \mathrm{~V}$
4 $12 \mathrm{~V}$
5 $3 \mathrm{~V}$
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Capacitance

165993 Ten identical batteries each of emf $2 \mathrm{~V}$ are connected in series to a $8 \Omega$ resistor. If the current in the circuit is $2 \mathrm{~A}$, then the internal resistance of each battery is

1 $0.2 \Omega$
2 $0.3 \Omega$
3 $0.4 \Omega$
4 $0.5 \Omega$
5 $1 \Omega$
Capacitance

165994 An uncharged parallel plate capacitor filled with a dielectric of dielectric constant $K$ is connected to an air filled identical parallel capacitor charged to potential $V_{1}$. If the common potential is $V_{2}$, the value of $K$ is

1 $\frac{V_{2}-V_{1}}{V_{2}}$
2 $\frac{V_{1}}{V_{1}-V_{2}}$
3 $\frac{V_{2}}{V_{1}-V_{2}}$
4 $\frac{V_{1}-V_{2}}{V_{2}}$
5 $\frac{V_{1}-V_{2}}{V_{1}+V_{2}}$
Capacitance

165995 The plates of a parallel plate capacitor with air as medium are separated by a distance of 8 mm. A medium of dielectric constant 2 and thickness $4 \mathrm{~mm}$ having the same area is introduced between the plates. For the capacitance to remain the same, the distance between the plates is

1 $8 \mathrm{~mm}$
2 $6 \mathrm{~mm}$
3 $4 \mathrm{~mm}$
4 $12 \mathrm{~mm}$
5 $10 \mathrm{~mm}$
Capacitance

165996 Two identical air core capacitors are connected in series to a voltage source of $15 \mathrm{~V}$. If one of the capacitors is filled with a medium of dielectric constant 4 , the new potential across this capacitor is :

1 $5 \mathrm{~V}$
2 $8 \mathrm{~V}$
3 $10 \mathrm{~V}$
4 $12 \mathrm{~V}$
5 $3 \mathrm{~V}$
Capacitance

165993 Ten identical batteries each of emf $2 \mathrm{~V}$ are connected in series to a $8 \Omega$ resistor. If the current in the circuit is $2 \mathrm{~A}$, then the internal resistance of each battery is

1 $0.2 \Omega$
2 $0.3 \Omega$
3 $0.4 \Omega$
4 $0.5 \Omega$
5 $1 \Omega$
Capacitance

165994 An uncharged parallel plate capacitor filled with a dielectric of dielectric constant $K$ is connected to an air filled identical parallel capacitor charged to potential $V_{1}$. If the common potential is $V_{2}$, the value of $K$ is

1 $\frac{V_{2}-V_{1}}{V_{2}}$
2 $\frac{V_{1}}{V_{1}-V_{2}}$
3 $\frac{V_{2}}{V_{1}-V_{2}}$
4 $\frac{V_{1}-V_{2}}{V_{2}}$
5 $\frac{V_{1}-V_{2}}{V_{1}+V_{2}}$
Capacitance

165995 The plates of a parallel plate capacitor with air as medium are separated by a distance of 8 mm. A medium of dielectric constant 2 and thickness $4 \mathrm{~mm}$ having the same area is introduced between the plates. For the capacitance to remain the same, the distance between the plates is

1 $8 \mathrm{~mm}$
2 $6 \mathrm{~mm}$
3 $4 \mathrm{~mm}$
4 $12 \mathrm{~mm}$
5 $10 \mathrm{~mm}$
Capacitance

165996 Two identical air core capacitors are connected in series to a voltage source of $15 \mathrm{~V}$. If one of the capacitors is filled with a medium of dielectric constant 4 , the new potential across this capacitor is :

1 $5 \mathrm{~V}$
2 $8 \mathrm{~V}$
3 $10 \mathrm{~V}$
4 $12 \mathrm{~V}$
5 $3 \mathrm{~V}$
Capacitance

165993 Ten identical batteries each of emf $2 \mathrm{~V}$ are connected in series to a $8 \Omega$ resistor. If the current in the circuit is $2 \mathrm{~A}$, then the internal resistance of each battery is

1 $0.2 \Omega$
2 $0.3 \Omega$
3 $0.4 \Omega$
4 $0.5 \Omega$
5 $1 \Omega$
Capacitance

165994 An uncharged parallel plate capacitor filled with a dielectric of dielectric constant $K$ is connected to an air filled identical parallel capacitor charged to potential $V_{1}$. If the common potential is $V_{2}$, the value of $K$ is

1 $\frac{V_{2}-V_{1}}{V_{2}}$
2 $\frac{V_{1}}{V_{1}-V_{2}}$
3 $\frac{V_{2}}{V_{1}-V_{2}}$
4 $\frac{V_{1}-V_{2}}{V_{2}}$
5 $\frac{V_{1}-V_{2}}{V_{1}+V_{2}}$
Capacitance

165995 The plates of a parallel plate capacitor with air as medium are separated by a distance of 8 mm. A medium of dielectric constant 2 and thickness $4 \mathrm{~mm}$ having the same area is introduced between the plates. For the capacitance to remain the same, the distance between the plates is

1 $8 \mathrm{~mm}$
2 $6 \mathrm{~mm}$
3 $4 \mathrm{~mm}$
4 $12 \mathrm{~mm}$
5 $10 \mathrm{~mm}$
Capacitance

165996 Two identical air core capacitors are connected in series to a voltage source of $15 \mathrm{~V}$. If one of the capacitors is filled with a medium of dielectric constant 4 , the new potential across this capacitor is :

1 $5 \mathrm{~V}$
2 $8 \mathrm{~V}$
3 $10 \mathrm{~V}$
4 $12 \mathrm{~V}$
5 $3 \mathrm{~V}$