CAPACITANCE
Electrostatic Potentials and Capacitance

268142 A capacitoris filled with an insulator and a certain potential difference is applied to its plates. The energy stored in the capacitor is U. Now the capacitor is disconnected from the source and the insulator is pulled out of the capacitor. The work performed against the forces of electric field in pulling out the insulator is \(4 \mathbf{U}\). Then dielectric constant of the insulator is

1 4
2 8
3 5
4 3
Electrostatic Potentials and Capacitance

268143 A capacitor of capacitance \(\mathrm{C}\) 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 \(V\)
2 \(V+\frac{Q}{C}\)
3 \(V+\frac{Q}{2 C}\)
4 \(V-\frac{Q}{C}\)
if \(\lt C V\)
Electrostatic Potentials and Capacitance

268144 A parallel plate capacitor with plates separated by air acquires\(1 \mu \mathrm{C}\) of charge when connected to a battery of \(500 \mathrm{~V}\). The plates still connected to the battery are then immersed in benzene [ \(k=2.28\) ]. Then a charge that flows from the battery is

1 \(1.28 \mu \mathrm{C}\)
2 \(2.28 \mu \mathrm{C}\)
3 \(1 / 4 \mu \mathrm{C}\)
4 \(4.56 \mu \mathrm{C}\)
Electrostatic Potentials and Capacitance

268145 An air capacitor with plates of area\(1 \mathrm{~m}^{2}\) and 0.01 metre apart is charged with \(10^{-6} \mathrm{C}\) of electricity. W hen the capacitor is submerged in oil of relative permittivity 2 , then the energy decreases by

1 \(20 \%\)
2 \(50 \%\)
3 \(60 \%\)
4 \(75 \%\)
Electrostatic Potentials and Capacitance

268142 A capacitoris filled with an insulator and a certain potential difference is applied to its plates. The energy stored in the capacitor is U. Now the capacitor is disconnected from the source and the insulator is pulled out of the capacitor. The work performed against the forces of electric field in pulling out the insulator is \(4 \mathbf{U}\). Then dielectric constant of the insulator is

1 4
2 8
3 5
4 3
Electrostatic Potentials and Capacitance

268143 A capacitor of capacitance \(\mathrm{C}\) 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 \(V\)
2 \(V+\frac{Q}{C}\)
3 \(V+\frac{Q}{2 C}\)
4 \(V-\frac{Q}{C}\)
if \(\lt C V\)
Electrostatic Potentials and Capacitance

268144 A parallel plate capacitor with plates separated by air acquires\(1 \mu \mathrm{C}\) of charge when connected to a battery of \(500 \mathrm{~V}\). The plates still connected to the battery are then immersed in benzene [ \(k=2.28\) ]. Then a charge that flows from the battery is

1 \(1.28 \mu \mathrm{C}\)
2 \(2.28 \mu \mathrm{C}\)
3 \(1 / 4 \mu \mathrm{C}\)
4 \(4.56 \mu \mathrm{C}\)
Electrostatic Potentials and Capacitance

268145 An air capacitor with plates of area\(1 \mathrm{~m}^{2}\) and 0.01 metre apart is charged with \(10^{-6} \mathrm{C}\) of electricity. W hen the capacitor is submerged in oil of relative permittivity 2 , then the energy decreases by

1 \(20 \%\)
2 \(50 \%\)
3 \(60 \%\)
4 \(75 \%\)
Electrostatic Potentials and Capacitance

268142 A capacitoris filled with an insulator and a certain potential difference is applied to its plates. The energy stored in the capacitor is U. Now the capacitor is disconnected from the source and the insulator is pulled out of the capacitor. The work performed against the forces of electric field in pulling out the insulator is \(4 \mathbf{U}\). Then dielectric constant of the insulator is

1 4
2 8
3 5
4 3
Electrostatic Potentials and Capacitance

268143 A capacitor of capacitance \(\mathrm{C}\) 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 \(V\)
2 \(V+\frac{Q}{C}\)
3 \(V+\frac{Q}{2 C}\)
4 \(V-\frac{Q}{C}\)
if \(\lt C V\)
Electrostatic Potentials and Capacitance

268144 A parallel plate capacitor with plates separated by air acquires\(1 \mu \mathrm{C}\) of charge when connected to a battery of \(500 \mathrm{~V}\). The plates still connected to the battery are then immersed in benzene [ \(k=2.28\) ]. Then a charge that flows from the battery is

1 \(1.28 \mu \mathrm{C}\)
2 \(2.28 \mu \mathrm{C}\)
3 \(1 / 4 \mu \mathrm{C}\)
4 \(4.56 \mu \mathrm{C}\)
Electrostatic Potentials and Capacitance

268145 An air capacitor with plates of area\(1 \mathrm{~m}^{2}\) and 0.01 metre apart is charged with \(10^{-6} \mathrm{C}\) of electricity. W hen the capacitor is submerged in oil of relative permittivity 2 , then the energy decreases by

1 \(20 \%\)
2 \(50 \%\)
3 \(60 \%\)
4 \(75 \%\)
Electrostatic Potentials and Capacitance

268142 A capacitoris filled with an insulator and a certain potential difference is applied to its plates. The energy stored in the capacitor is U. Now the capacitor is disconnected from the source and the insulator is pulled out of the capacitor. The work performed against the forces of electric field in pulling out the insulator is \(4 \mathbf{U}\). Then dielectric constant of the insulator is

1 4
2 8
3 5
4 3
Electrostatic Potentials and Capacitance

268143 A capacitor of capacitance \(\mathrm{C}\) 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 \(V\)
2 \(V+\frac{Q}{C}\)
3 \(V+\frac{Q}{2 C}\)
4 \(V-\frac{Q}{C}\)
if \(\lt C V\)
Electrostatic Potentials and Capacitance

268144 A parallel plate capacitor with plates separated by air acquires\(1 \mu \mathrm{C}\) of charge when connected to a battery of \(500 \mathrm{~V}\). The plates still connected to the battery are then immersed in benzene [ \(k=2.28\) ]. Then a charge that flows from the battery is

1 \(1.28 \mu \mathrm{C}\)
2 \(2.28 \mu \mathrm{C}\)
3 \(1 / 4 \mu \mathrm{C}\)
4 \(4.56 \mu \mathrm{C}\)
Electrostatic Potentials and Capacitance

268145 An air capacitor with plates of area\(1 \mathrm{~m}^{2}\) and 0.01 metre apart is charged with \(10^{-6} \mathrm{C}\) of electricity. W hen the capacitor is submerged in oil of relative permittivity 2 , then the energy decreases by

1 \(20 \%\)
2 \(50 \%\)
3 \(60 \%\)
4 \(75 \%\)
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