Capacitors with Dielectric
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359164 The area of each plate of a parallel plate capacitor is \(314\,c{m^2}\) and the distance betwen the plates is 1 \(mm\). It is filled with mica of dielectric 3. The radius of the equivalent capacity of the sphere will be

1 \(25\,m\)
2 \(2.5\,m\)
3 \(250\,m\)
4 \(5m\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359165 Assertion :
As battery remains connected, potential of capacitor will not change.
Reason :
If the capacitor is kept connected with the battery and then the dielectric slab is inserted between the plates, both the charge oncapacitor and the energy stored in the capacitor gets decreased.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359166 Two parallel plates of area \(A\) are seperated by two different dielectric. The net capacitance is
supporting img

1 \(\dfrac{\varepsilon_{0} A}{d}\)
2 \(\dfrac{7}{20} \dfrac{\varepsilon_{0} A}{d}\)
3 \(\dfrac{20}{7} \dfrac{\varepsilon_{0} A}{d}\)
4 \(\dfrac{2 \varepsilon_{0} A}{d}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359167 A parallel-plate capacitor with plate separation \(11\;mm\) is charged up by a battery. On introducing a mica sheet of thickness \(3\;mm\) while maintaining the connections of the plates with the terminals of the battery, it is found that it draws \(10 \%\) more charge from the battery. Determine susceptibility of mica.

1 0.5
2 0.9
3 0.2
4 0.3
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359168 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 \(4\;mm\) having the same area is introduced between the plates. For the capacitance to remain the same, the distance between the plates is

1 \(8\;mm\)
2 \(6\;mm\)
3 \(4\;mm\)
4 \(10\;mm\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359164 The area of each plate of a parallel plate capacitor is \(314\,c{m^2}\) and the distance betwen the plates is 1 \(mm\). It is filled with mica of dielectric 3. The radius of the equivalent capacity of the sphere will be

1 \(25\,m\)
2 \(2.5\,m\)
3 \(250\,m\)
4 \(5m\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359165 Assertion :
As battery remains connected, potential of capacitor will not change.
Reason :
If the capacitor is kept connected with the battery and then the dielectric slab is inserted between the plates, both the charge oncapacitor and the energy stored in the capacitor gets decreased.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359166 Two parallel plates of area \(A\) are seperated by two different dielectric. The net capacitance is
supporting img

1 \(\dfrac{\varepsilon_{0} A}{d}\)
2 \(\dfrac{7}{20} \dfrac{\varepsilon_{0} A}{d}\)
3 \(\dfrac{20}{7} \dfrac{\varepsilon_{0} A}{d}\)
4 \(\dfrac{2 \varepsilon_{0} A}{d}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359167 A parallel-plate capacitor with plate separation \(11\;mm\) is charged up by a battery. On introducing a mica sheet of thickness \(3\;mm\) while maintaining the connections of the plates with the terminals of the battery, it is found that it draws \(10 \%\) more charge from the battery. Determine susceptibility of mica.

1 0.5
2 0.9
3 0.2
4 0.3
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359168 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 \(4\;mm\) having the same area is introduced between the plates. For the capacitance to remain the same, the distance between the plates is

1 \(8\;mm\)
2 \(6\;mm\)
3 \(4\;mm\)
4 \(10\;mm\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359164 The area of each plate of a parallel plate capacitor is \(314\,c{m^2}\) and the distance betwen the plates is 1 \(mm\). It is filled with mica of dielectric 3. The radius of the equivalent capacity of the sphere will be

1 \(25\,m\)
2 \(2.5\,m\)
3 \(250\,m\)
4 \(5m\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359165 Assertion :
As battery remains connected, potential of capacitor will not change.
Reason :
If the capacitor is kept connected with the battery and then the dielectric slab is inserted between the plates, both the charge oncapacitor and the energy stored in the capacitor gets decreased.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359166 Two parallel plates of area \(A\) are seperated by two different dielectric. The net capacitance is
supporting img

1 \(\dfrac{\varepsilon_{0} A}{d}\)
2 \(\dfrac{7}{20} \dfrac{\varepsilon_{0} A}{d}\)
3 \(\dfrac{20}{7} \dfrac{\varepsilon_{0} A}{d}\)
4 \(\dfrac{2 \varepsilon_{0} A}{d}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359167 A parallel-plate capacitor with plate separation \(11\;mm\) is charged up by a battery. On introducing a mica sheet of thickness \(3\;mm\) while maintaining the connections of the plates with the terminals of the battery, it is found that it draws \(10 \%\) more charge from the battery. Determine susceptibility of mica.

1 0.5
2 0.9
3 0.2
4 0.3
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359168 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 \(4\;mm\) having the same area is introduced between the plates. For the capacitance to remain the same, the distance between the plates is

1 \(8\;mm\)
2 \(6\;mm\)
3 \(4\;mm\)
4 \(10\;mm\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359164 The area of each plate of a parallel plate capacitor is \(314\,c{m^2}\) and the distance betwen the plates is 1 \(mm\). It is filled with mica of dielectric 3. The radius of the equivalent capacity of the sphere will be

1 \(25\,m\)
2 \(2.5\,m\)
3 \(250\,m\)
4 \(5m\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359165 Assertion :
As battery remains connected, potential of capacitor will not change.
Reason :
If the capacitor is kept connected with the battery and then the dielectric slab is inserted between the plates, both the charge oncapacitor and the energy stored in the capacitor gets decreased.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359166 Two parallel plates of area \(A\) are seperated by two different dielectric. The net capacitance is
supporting img

1 \(\dfrac{\varepsilon_{0} A}{d}\)
2 \(\dfrac{7}{20} \dfrac{\varepsilon_{0} A}{d}\)
3 \(\dfrac{20}{7} \dfrac{\varepsilon_{0} A}{d}\)
4 \(\dfrac{2 \varepsilon_{0} A}{d}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359167 A parallel-plate capacitor with plate separation \(11\;mm\) is charged up by a battery. On introducing a mica sheet of thickness \(3\;mm\) while maintaining the connections of the plates with the terminals of the battery, it is found that it draws \(10 \%\) more charge from the battery. Determine susceptibility of mica.

1 0.5
2 0.9
3 0.2
4 0.3
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359168 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 \(4\;mm\) having the same area is introduced between the plates. For the capacitance to remain the same, the distance between the plates is

1 \(8\;mm\)
2 \(6\;mm\)
3 \(4\;mm\)
4 \(10\;mm\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359164 The area of each plate of a parallel plate capacitor is \(314\,c{m^2}\) and the distance betwen the plates is 1 \(mm\). It is filled with mica of dielectric 3. The radius of the equivalent capacity of the sphere will be

1 \(25\,m\)
2 \(2.5\,m\)
3 \(250\,m\)
4 \(5m\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359165 Assertion :
As battery remains connected, potential of capacitor will not change.
Reason :
If the capacitor is kept connected with the battery and then the dielectric slab is inserted between the plates, both the charge oncapacitor and the energy stored in the capacitor gets decreased.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359166 Two parallel plates of area \(A\) are seperated by two different dielectric. The net capacitance is
supporting img

1 \(\dfrac{\varepsilon_{0} A}{d}\)
2 \(\dfrac{7}{20} \dfrac{\varepsilon_{0} A}{d}\)
3 \(\dfrac{20}{7} \dfrac{\varepsilon_{0} A}{d}\)
4 \(\dfrac{2 \varepsilon_{0} A}{d}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359167 A parallel-plate capacitor with plate separation \(11\;mm\) is charged up by a battery. On introducing a mica sheet of thickness \(3\;mm\) while maintaining the connections of the plates with the terminals of the battery, it is found that it draws \(10 \%\) more charge from the battery. Determine susceptibility of mica.

1 0.5
2 0.9
3 0.2
4 0.3
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359168 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 \(4\;mm\) having the same area is introduced between the plates. For the capacitance to remain the same, the distance between the plates is

1 \(8\;mm\)
2 \(6\;mm\)
3 \(4\;mm\)
4 \(10\;mm\)