CAPACITANCE
Electrostatic Potentials and Capacitance

272266 A parallel plate air capacitor has a capacitance of \(100 \mu \mathrm{~F}\). The plates are at a distance \(d\) apart. If a slab of thickness \(t(t

1 \(50 \mu \mathrm{~F}\)
2 \(100 \mu \mathrm{~F}\)
3 \(200 \mu \mathrm{~F}\)
4 \(500 \mu \mathrm{~F}\)
Electrostatic Potentials and Capacitance

272267 A parallel plate capacitor having a separation between the plates d , plate area A and material with dielectric constant K has capacitance \(\mathrm{C}_0\). Now one-third of the material is replaced by another material with dielectric constant 2 K , so that effectively there are two capacitors one with area \(\frac{1}{3} \mathrm{~A}\), dielectric constant 2 K and another with area \(\frac{2}{3} \mathrm{~A}\) and dielectric constant K . If the capacitance of this new capacitor is C then \(\frac{\mathrm{C}}{\mathrm{C}_{\mathrm{a}}}\) is

1 1
2 \(\frac{4}{3}\)
3 \(\frac{2}{3}\)
4 \(\frac{1}{3}\)
Electrostatic Potentials and Capacitance

272268 A parallel plate cápacitor with air between the plates is charged to a potential difference of 500 V and then insulated. A plastic plate is inserted between the plates filling the whole gap. The potential difference between the plates now becomes 75 V . The dielectric constant of plastic is

1 \(10 / 3\)
2 5
3 20/3
4 10
Electrostatic Potentials and Capacitance

272269 Two parallel plate capacitors of capacitance C and 2 C are connected in parallel and charged to a potential difference \(V\). The battery is then disconnected, and the region between the plates of\(C\) is filled completely with a material of dielectric constant K . The common potential difference across the combination becomes

1 \(\frac{2 V}{\mathbf{K}+2}\)
2 \(\frac{V}{\mathbf{K}+2}\)
3 \(\frac{3 V}{K+3}\)
4 \(\frac{3 V}{\mathbf{K}+2}\)
Electrostatic Potentials and Capacitance

272266 A parallel plate air capacitor has a capacitance of \(100 \mu \mathrm{~F}\). The plates are at a distance \(d\) apart. If a slab of thickness \(t(t

1 \(50 \mu \mathrm{~F}\)
2 \(100 \mu \mathrm{~F}\)
3 \(200 \mu \mathrm{~F}\)
4 \(500 \mu \mathrm{~F}\)
Electrostatic Potentials and Capacitance

272267 A parallel plate capacitor having a separation between the plates d , plate area A and material with dielectric constant K has capacitance \(\mathrm{C}_0\). Now one-third of the material is replaced by another material with dielectric constant 2 K , so that effectively there are two capacitors one with area \(\frac{1}{3} \mathrm{~A}\), dielectric constant 2 K and another with area \(\frac{2}{3} \mathrm{~A}\) and dielectric constant K . If the capacitance of this new capacitor is C then \(\frac{\mathrm{C}}{\mathrm{C}_{\mathrm{a}}}\) is

1 1
2 \(\frac{4}{3}\)
3 \(\frac{2}{3}\)
4 \(\frac{1}{3}\)
Electrostatic Potentials and Capacitance

272268 A parallel plate cápacitor with air between the plates is charged to a potential difference of 500 V and then insulated. A plastic plate is inserted between the plates filling the whole gap. The potential difference between the plates now becomes 75 V . The dielectric constant of plastic is

1 \(10 / 3\)
2 5
3 20/3
4 10
Electrostatic Potentials and Capacitance

272269 Two parallel plate capacitors of capacitance C and 2 C are connected in parallel and charged to a potential difference \(V\). The battery is then disconnected, and the region between the plates of\(C\) is filled completely with a material of dielectric constant K . The common potential difference across the combination becomes

1 \(\frac{2 V}{\mathbf{K}+2}\)
2 \(\frac{V}{\mathbf{K}+2}\)
3 \(\frac{3 V}{K+3}\)
4 \(\frac{3 V}{\mathbf{K}+2}\)
Electrostatic Potentials and Capacitance

272266 A parallel plate air capacitor has a capacitance of \(100 \mu \mathrm{~F}\). The plates are at a distance \(d\) apart. If a slab of thickness \(t(t

1 \(50 \mu \mathrm{~F}\)
2 \(100 \mu \mathrm{~F}\)
3 \(200 \mu \mathrm{~F}\)
4 \(500 \mu \mathrm{~F}\)
Electrostatic Potentials and Capacitance

272267 A parallel plate capacitor having a separation between the plates d , plate area A and material with dielectric constant K has capacitance \(\mathrm{C}_0\). Now one-third of the material is replaced by another material with dielectric constant 2 K , so that effectively there are two capacitors one with area \(\frac{1}{3} \mathrm{~A}\), dielectric constant 2 K and another with area \(\frac{2}{3} \mathrm{~A}\) and dielectric constant K . If the capacitance of this new capacitor is C then \(\frac{\mathrm{C}}{\mathrm{C}_{\mathrm{a}}}\) is

1 1
2 \(\frac{4}{3}\)
3 \(\frac{2}{3}\)
4 \(\frac{1}{3}\)
Electrostatic Potentials and Capacitance

272268 A parallel plate cápacitor with air between the plates is charged to a potential difference of 500 V and then insulated. A plastic plate is inserted between the plates filling the whole gap. The potential difference between the plates now becomes 75 V . The dielectric constant of plastic is

1 \(10 / 3\)
2 5
3 20/3
4 10
Electrostatic Potentials and Capacitance

272269 Two parallel plate capacitors of capacitance C and 2 C are connected in parallel and charged to a potential difference \(V\). The battery is then disconnected, and the region between the plates of\(C\) is filled completely with a material of dielectric constant K . The common potential difference across the combination becomes

1 \(\frac{2 V}{\mathbf{K}+2}\)
2 \(\frac{V}{\mathbf{K}+2}\)
3 \(\frac{3 V}{K+3}\)
4 \(\frac{3 V}{\mathbf{K}+2}\)
Electrostatic Potentials and Capacitance

272266 A parallel plate air capacitor has a capacitance of \(100 \mu \mathrm{~F}\). The plates are at a distance \(d\) apart. If a slab of thickness \(t(t

1 \(50 \mu \mathrm{~F}\)
2 \(100 \mu \mathrm{~F}\)
3 \(200 \mu \mathrm{~F}\)
4 \(500 \mu \mathrm{~F}\)
Electrostatic Potentials and Capacitance

272267 A parallel plate capacitor having a separation between the plates d , plate area A and material with dielectric constant K has capacitance \(\mathrm{C}_0\). Now one-third of the material is replaced by another material with dielectric constant 2 K , so that effectively there are two capacitors one with area \(\frac{1}{3} \mathrm{~A}\), dielectric constant 2 K and another with area \(\frac{2}{3} \mathrm{~A}\) and dielectric constant K . If the capacitance of this new capacitor is C then \(\frac{\mathrm{C}}{\mathrm{C}_{\mathrm{a}}}\) is

1 1
2 \(\frac{4}{3}\)
3 \(\frac{2}{3}\)
4 \(\frac{1}{3}\)
Electrostatic Potentials and Capacitance

272268 A parallel plate cápacitor with air between the plates is charged to a potential difference of 500 V and then insulated. A plastic plate is inserted between the plates filling the whole gap. The potential difference between the plates now becomes 75 V . The dielectric constant of plastic is

1 \(10 / 3\)
2 5
3 20/3
4 10
Electrostatic Potentials and Capacitance

272269 Two parallel plate capacitors of capacitance C and 2 C are connected in parallel and charged to a potential difference \(V\). The battery is then disconnected, and the region between the plates of\(C\) is filled completely with a material of dielectric constant K . The common potential difference across the combination becomes

1 \(\frac{2 V}{\mathbf{K}+2}\)
2 \(\frac{V}{\mathbf{K}+2}\)
3 \(\frac{3 V}{K+3}\)
4 \(\frac{3 V}{\mathbf{K}+2}\)
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