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NEET Questions / Physics / Electrostatic Potential And Capacitance
A parallel plate capacitor with capacitance C is charged to a potential V. It is then disconnected from the battery and the distance between the plates is doubled. What happens to the energy stored in the capacitor?
Halves
Doubles
Remains the same
Quadruples
A spherical capacitor with inner radius 'a' and outer radius 'b' is filled with a dielectric of permittivity . A second spherical capacitor with inner radius 'b' and outer radius 'c' is filled with a dielectric of permittivity . If these two capacitors are connected in series, what is the equivalent capacitance of the combination?
\frac{8\pi\epsilon abc}{2b^2 - 3ab + ac}
\frac{4\pi\epsilon abc}{2b^2 - ab + ac}
\frac{8\pi\epsilon abc}{b^2 - 2ab + 2ac}
\frac{4\pi\epsilon abc}{b^2 - ab + c}
A parallel plate capacitor is filled with two dielectrics of permittivities and , each occupying half the volume as shown. If the area of each plate is A and the plate separation is d, what is the capacitance?
\frac{(\epsilon_1 + \epsilon_2)A}{2d}
\frac{\epsilon_1 \epsilon_2 A}{(\epsilon_1 + \epsilon_2)d}
\frac{2\epsilon_1 \epsilon_2 A}{(\epsilon_1 + \epsilon_2)d}
\frac{(\epsilon_1 + \epsilon_2)A}{d}
A capacitor of capacitance C is charged to a potential difference V and then connected across an uncharged capacitor of capacitance 2C. When the system reaches equilibrium, what is the total electrostatic energy stored in the system?
(1/2)CV^2
(1/3)CV^2
(1/6)CV^2
(2/3)CV^2
Two equal and opposite charges and are separated by a small distance . A third charge is placed at a distance from the midpoint of the dipole along its axial line, where . If the dipole is rotated by about its midpoint, the potential energy of the system changes by:
-pQ/(4πε₀r²)
pQ/(4πε₀r²)
2pQ/(4πε₀r²)
0
An electric dipole with dipole moment is placed at the origin. The electric potential at a point is . If , where is the dipole separation, which of the following is correct regarding the equipotential surfaces?
They are spheres centered at the origin.
They are cylinders with their axes along the dipole moment.
They are approximately conical surfaces with their axes along the dipole moment.
They are planes perpendicular to the dipole moment.
A short electric dipole is placed at the origin with its axis along the x-axis. If the dipole moment is , the locus of points where the electric potential is zero is given by:
x = 0
y = 0
x = y
x^2 + y^2 = p^2/(4πε₀)