ENERGY STORED IN A CAPACITOR
Electrostatic Potentials and Capacitance

272306 Two parallel plate capacitors \(X\) and \(Y\), have the same area of plates and same separation between plates. \(X\) has air and \(Y\) with dielectric of constant 2 . between its plates. They are connected in series to a battery of 12 V . The ratio of electrostatic energy stored in X and Y is

1 4: 1
2 1:4
3 \(2: 1\)
4 \(1: 2\)
Electrostatic Potentials and Capacitance

272307 A capacitor has two circular plates whose radius are 8 cm and distance between them is 1 mm . When mica \{dielectric constant \(=6\) \} is placed between the plates, the capacitance of this capacitor and the energy stored when it is given potential of 150 volt respectively are

1 \(1.06 \times 10^{-5} \mathrm{~F}, 1.2 \times 10^{-9} \mathrm{~J}\)
2 \(1.068 \times 10^{-9} \mathrm{~F}, 1.2 \times 10^{-5} \mathrm{~J}\)
3 \(1.2 \times 10^{-9} \mathrm{~F}, 1.068 \times 10^{-5} \mathrm{~J}\)
4 \(1.6 \times 10^{-9} \mathrm{~F}, 1.208 \times 10^{-5} \mathrm{~J}\)
Electrostatic Potentials and Capacitance

272308 A parallel plate air capacitor of capacitance \(C\) is connected to a cell of emf \(V\) and then disconnected from it. A dielectric slab of diel ectric constant \(K\), which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect?

1 The energy stored in the capacitor decreases K times.
2 The chance in energy stored is\(\frac{1}{2} \mathrm{CV} \mathrm{V}^2\left(\frac{1}{\mathrm{~K}}-1\right)\).
3 The charge on the capacitoris not conserved.
4 The potential difference between the plates decreases K times.
Electrostatic Potentials and Capacitance

272309 A condenser of \(2 \mu \mathrm{~F}\) capacitance is charged steadily from 0 to 5 C . Which of the following graph represents correctly the variation of potential difference (V) across it's plates with respect to the charge ( \(Q\) ) on the condenser?

1
2
3
4
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Electrostatic Potentials and Capacitance

272306 Two parallel plate capacitors \(X\) and \(Y\), have the same area of plates and same separation between plates. \(X\) has air and \(Y\) with dielectric of constant 2 . between its plates. They are connected in series to a battery of 12 V . The ratio of electrostatic energy stored in X and Y is

1 4: 1
2 1:4
3 \(2: 1\)
4 \(1: 2\)
Electrostatic Potentials and Capacitance

272307 A capacitor has two circular plates whose radius are 8 cm and distance between them is 1 mm . When mica \{dielectric constant \(=6\) \} is placed between the plates, the capacitance of this capacitor and the energy stored when it is given potential of 150 volt respectively are

1 \(1.06 \times 10^{-5} \mathrm{~F}, 1.2 \times 10^{-9} \mathrm{~J}\)
2 \(1.068 \times 10^{-9} \mathrm{~F}, 1.2 \times 10^{-5} \mathrm{~J}\)
3 \(1.2 \times 10^{-9} \mathrm{~F}, 1.068 \times 10^{-5} \mathrm{~J}\)
4 \(1.6 \times 10^{-9} \mathrm{~F}, 1.208 \times 10^{-5} \mathrm{~J}\)
Electrostatic Potentials and Capacitance

272308 A parallel plate air capacitor of capacitance \(C\) is connected to a cell of emf \(V\) and then disconnected from it. A dielectric slab of diel ectric constant \(K\), which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect?

1 The energy stored in the capacitor decreases K times.
2 The chance in energy stored is\(\frac{1}{2} \mathrm{CV} \mathrm{V}^2\left(\frac{1}{\mathrm{~K}}-1\right)\).
3 The charge on the capacitoris not conserved.
4 The potential difference between the plates decreases K times.
Electrostatic Potentials and Capacitance

272309 A condenser of \(2 \mu \mathrm{~F}\) capacitance is charged steadily from 0 to 5 C . Which of the following graph represents correctly the variation of potential difference (V) across it's plates with respect to the charge ( \(Q\) ) on the condenser?

1
2
3
4
Electrostatic Potentials and Capacitance

272306 Two parallel plate capacitors \(X\) and \(Y\), have the same area of plates and same separation between plates. \(X\) has air and \(Y\) with dielectric of constant 2 . between its plates. They are connected in series to a battery of 12 V . The ratio of electrostatic energy stored in X and Y is

1 4: 1
2 1:4
3 \(2: 1\)
4 \(1: 2\)
Electrostatic Potentials and Capacitance

272307 A capacitor has two circular plates whose radius are 8 cm and distance between them is 1 mm . When mica \{dielectric constant \(=6\) \} is placed between the plates, the capacitance of this capacitor and the energy stored when it is given potential of 150 volt respectively are

1 \(1.06 \times 10^{-5} \mathrm{~F}, 1.2 \times 10^{-9} \mathrm{~J}\)
2 \(1.068 \times 10^{-9} \mathrm{~F}, 1.2 \times 10^{-5} \mathrm{~J}\)
3 \(1.2 \times 10^{-9} \mathrm{~F}, 1.068 \times 10^{-5} \mathrm{~J}\)
4 \(1.6 \times 10^{-9} \mathrm{~F}, 1.208 \times 10^{-5} \mathrm{~J}\)
Electrostatic Potentials and Capacitance

272308 A parallel plate air capacitor of capacitance \(C\) is connected to a cell of emf \(V\) and then disconnected from it. A dielectric slab of diel ectric constant \(K\), which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect?

1 The energy stored in the capacitor decreases K times.
2 The chance in energy stored is\(\frac{1}{2} \mathrm{CV} \mathrm{V}^2\left(\frac{1}{\mathrm{~K}}-1\right)\).
3 The charge on the capacitoris not conserved.
4 The potential difference between the plates decreases K times.
Electrostatic Potentials and Capacitance

272309 A condenser of \(2 \mu \mathrm{~F}\) capacitance is charged steadily from 0 to 5 C . Which of the following graph represents correctly the variation of potential difference (V) across it's plates with respect to the charge ( \(Q\) ) on the condenser?

1
2
3
4
Electrostatic Potentials and Capacitance

272306 Two parallel plate capacitors \(X\) and \(Y\), have the same area of plates and same separation between plates. \(X\) has air and \(Y\) with dielectric of constant 2 . between its plates. They are connected in series to a battery of 12 V . The ratio of electrostatic energy stored in X and Y is

1 4: 1
2 1:4
3 \(2: 1\)
4 \(1: 2\)
Electrostatic Potentials and Capacitance

272307 A capacitor has two circular plates whose radius are 8 cm and distance between them is 1 mm . When mica \{dielectric constant \(=6\) \} is placed between the plates, the capacitance of this capacitor and the energy stored when it is given potential of 150 volt respectively are

1 \(1.06 \times 10^{-5} \mathrm{~F}, 1.2 \times 10^{-9} \mathrm{~J}\)
2 \(1.068 \times 10^{-9} \mathrm{~F}, 1.2 \times 10^{-5} \mathrm{~J}\)
3 \(1.2 \times 10^{-9} \mathrm{~F}, 1.068 \times 10^{-5} \mathrm{~J}\)
4 \(1.6 \times 10^{-9} \mathrm{~F}, 1.208 \times 10^{-5} \mathrm{~J}\)
Electrostatic Potentials and Capacitance

272308 A parallel plate air capacitor of capacitance \(C\) is connected to a cell of emf \(V\) and then disconnected from it. A dielectric slab of diel ectric constant \(K\), which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect?

1 The energy stored in the capacitor decreases K times.
2 The chance in energy stored is\(\frac{1}{2} \mathrm{CV} \mathrm{V}^2\left(\frac{1}{\mathrm{~K}}-1\right)\).
3 The charge on the capacitoris not conserved.
4 The potential difference between the plates decreases K times.
Electrostatic Potentials and Capacitance

272309 A condenser of \(2 \mu \mathrm{~F}\) capacitance is charged steadily from 0 to 5 C . Which of the following graph represents correctly the variation of potential difference (V) across it's plates with respect to the charge ( \(Q\) ) on the condenser?

1
2
3
4