CAPACITANCE
Electrostatic Potentials and Capacitance

268138 A capacitor of capacitance\(1 \mu \mathbf{F}\) withstands a maximum voltage of \(6 \mathrm{kV}\), while another capacitor of capacitance \(2 \mu \mathrm{F}\) withstands a maximum voltage of \(4 \mathrm{kV}\). If they are connected in series, the combination can withstand a maximum voltage of

1 \(3 \mathrm{kV}\)
2 \(6 \mathrm{kV}\)
3 \(10 \mathrm{kV}\)
4 \(9 \mathrm{kV}\)
Electrostatic Potentials and Capacitance

268139 Energy '\(E\) ' is stored in a parallel plate capacitor ' \(\mathrm{C}_{1}\) '. An identical uncharged capacitor ' \(\mathrm{C}_{2}\) ' is connected to it, kept in contact with it for a while and then disconnected, the energy stored in \(\mathrm{C}_{2}\) is

1 \(E / 2\)
2 \(E / 3\)
3 \(E / 4\)
4 Zero
Electrostatic Potentials and Capacitance

268140 A parallel plate capacitor has area of eachplateA, the separation between the plates is d . It is charged to a potential \(\mathrm{V}\) and then disconnected from the battery. The amount of work done in the filling the capacitor Completely with a dielectric constant \(k\) is

1 \(\frac{1}{2} \frac{\varepsilon_{0} A V^{2}}{d}\left[1-\frac{1}{k^{2}}\right]\)
2 \(\frac{1}{2} \frac{V^{2} \varepsilon_{0} A}{k d}\)
3 \(\frac{1}{2} \frac{V^{2} \varepsilon_{0} A}{k^{2} d}\)
4 \(\frac{1}{2} \frac{\varepsilon_{0} A V^{2}}{d}\left[1-\frac{1}{K}\right]\)
Electrostatic Potentials and Capacitance

268141 A capacitor of capacitance\(10 \mu \mathbf{F}\) is charged to a potential \(50 \mathrm{~V}\) with a battery. The battery is now disconnected and an additional charge \(200 \mu \mathrm{C}\) is given to the positive plate of the capacitor. The potential difference across the capacitor will be

1 \(50 \mathrm{~V}\)
2 \(80 \mathrm{~V}\)
3 \(100 \mathrm{~V}\)
4 \(60 \mathrm{~V}\)
Electrostatic Potentials and Capacitance

268138 A capacitor of capacitance\(1 \mu \mathbf{F}\) withstands a maximum voltage of \(6 \mathrm{kV}\), while another capacitor of capacitance \(2 \mu \mathrm{F}\) withstands a maximum voltage of \(4 \mathrm{kV}\). If they are connected in series, the combination can withstand a maximum voltage of

1 \(3 \mathrm{kV}\)
2 \(6 \mathrm{kV}\)
3 \(10 \mathrm{kV}\)
4 \(9 \mathrm{kV}\)
Electrostatic Potentials and Capacitance

268139 Energy '\(E\) ' is stored in a parallel plate capacitor ' \(\mathrm{C}_{1}\) '. An identical uncharged capacitor ' \(\mathrm{C}_{2}\) ' is connected to it, kept in contact with it for a while and then disconnected, the energy stored in \(\mathrm{C}_{2}\) is

1 \(E / 2\)
2 \(E / 3\)
3 \(E / 4\)
4 Zero
Electrostatic Potentials and Capacitance

268140 A parallel plate capacitor has area of eachplateA, the separation between the plates is d . It is charged to a potential \(\mathrm{V}\) and then disconnected from the battery. The amount of work done in the filling the capacitor Completely with a dielectric constant \(k\) is

1 \(\frac{1}{2} \frac{\varepsilon_{0} A V^{2}}{d}\left[1-\frac{1}{k^{2}}\right]\)
2 \(\frac{1}{2} \frac{V^{2} \varepsilon_{0} A}{k d}\)
3 \(\frac{1}{2} \frac{V^{2} \varepsilon_{0} A}{k^{2} d}\)
4 \(\frac{1}{2} \frac{\varepsilon_{0} A V^{2}}{d}\left[1-\frac{1}{K}\right]\)
Electrostatic Potentials and Capacitance

268141 A capacitor of capacitance\(10 \mu \mathbf{F}\) is charged to a potential \(50 \mathrm{~V}\) with a battery. The battery is now disconnected and an additional charge \(200 \mu \mathrm{C}\) is given to the positive plate of the capacitor. The potential difference across the capacitor will be

1 \(50 \mathrm{~V}\)
2 \(80 \mathrm{~V}\)
3 \(100 \mathrm{~V}\)
4 \(60 \mathrm{~V}\)
Electrostatic Potentials and Capacitance

268138 A capacitor of capacitance\(1 \mu \mathbf{F}\) withstands a maximum voltage of \(6 \mathrm{kV}\), while another capacitor of capacitance \(2 \mu \mathrm{F}\) withstands a maximum voltage of \(4 \mathrm{kV}\). If they are connected in series, the combination can withstand a maximum voltage of

1 \(3 \mathrm{kV}\)
2 \(6 \mathrm{kV}\)
3 \(10 \mathrm{kV}\)
4 \(9 \mathrm{kV}\)
Electrostatic Potentials and Capacitance

268139 Energy '\(E\) ' is stored in a parallel plate capacitor ' \(\mathrm{C}_{1}\) '. An identical uncharged capacitor ' \(\mathrm{C}_{2}\) ' is connected to it, kept in contact with it for a while and then disconnected, the energy stored in \(\mathrm{C}_{2}\) is

1 \(E / 2\)
2 \(E / 3\)
3 \(E / 4\)
4 Zero
Electrostatic Potentials and Capacitance

268140 A parallel plate capacitor has area of eachplateA, the separation between the plates is d . It is charged to a potential \(\mathrm{V}\) and then disconnected from the battery. The amount of work done in the filling the capacitor Completely with a dielectric constant \(k\) is

1 \(\frac{1}{2} \frac{\varepsilon_{0} A V^{2}}{d}\left[1-\frac{1}{k^{2}}\right]\)
2 \(\frac{1}{2} \frac{V^{2} \varepsilon_{0} A}{k d}\)
3 \(\frac{1}{2} \frac{V^{2} \varepsilon_{0} A}{k^{2} d}\)
4 \(\frac{1}{2} \frac{\varepsilon_{0} A V^{2}}{d}\left[1-\frac{1}{K}\right]\)
Electrostatic Potentials and Capacitance

268141 A capacitor of capacitance\(10 \mu \mathbf{F}\) is charged to a potential \(50 \mathrm{~V}\) with a battery. The battery is now disconnected and an additional charge \(200 \mu \mathrm{C}\) is given to the positive plate of the capacitor. The potential difference across the capacitor will be

1 \(50 \mathrm{~V}\)
2 \(80 \mathrm{~V}\)
3 \(100 \mathrm{~V}\)
4 \(60 \mathrm{~V}\)
Electrostatic Potentials and Capacitance

268138 A capacitor of capacitance\(1 \mu \mathbf{F}\) withstands a maximum voltage of \(6 \mathrm{kV}\), while another capacitor of capacitance \(2 \mu \mathrm{F}\) withstands a maximum voltage of \(4 \mathrm{kV}\). If they are connected in series, the combination can withstand a maximum voltage of

1 \(3 \mathrm{kV}\)
2 \(6 \mathrm{kV}\)
3 \(10 \mathrm{kV}\)
4 \(9 \mathrm{kV}\)
Electrostatic Potentials and Capacitance

268139 Energy '\(E\) ' is stored in a parallel plate capacitor ' \(\mathrm{C}_{1}\) '. An identical uncharged capacitor ' \(\mathrm{C}_{2}\) ' is connected to it, kept in contact with it for a while and then disconnected, the energy stored in \(\mathrm{C}_{2}\) is

1 \(E / 2\)
2 \(E / 3\)
3 \(E / 4\)
4 Zero
Electrostatic Potentials and Capacitance

268140 A parallel plate capacitor has area of eachplateA, the separation between the plates is d . It is charged to a potential \(\mathrm{V}\) and then disconnected from the battery. The amount of work done in the filling the capacitor Completely with a dielectric constant \(k\) is

1 \(\frac{1}{2} \frac{\varepsilon_{0} A V^{2}}{d}\left[1-\frac{1}{k^{2}}\right]\)
2 \(\frac{1}{2} \frac{V^{2} \varepsilon_{0} A}{k d}\)
3 \(\frac{1}{2} \frac{V^{2} \varepsilon_{0} A}{k^{2} d}\)
4 \(\frac{1}{2} \frac{\varepsilon_{0} A V^{2}}{d}\left[1-\frac{1}{K}\right]\)
Electrostatic Potentials and Capacitance

268141 A capacitor of capacitance\(10 \mu \mathbf{F}\) is charged to a potential \(50 \mathrm{~V}\) with a battery. The battery is now disconnected and an additional charge \(200 \mu \mathrm{C}\) is given to the positive plate of the capacitor. The potential difference across the capacitor will be

1 \(50 \mathrm{~V}\)
2 \(80 \mathrm{~V}\)
3 \(100 \mathrm{~V}\)
4 \(60 \mathrm{~V}\)