Olympiad workbookNSEPElectrostatics
Acidified water from certain reservoir kept at a potential V falls in the form of small droplets each of radius r through a hole into a hollow conducting sphere of radius a . The sphere is insulated and is initially at zero potential. If the drops continue to fall until the sphere is half full, the potential acquired by the sphere is
Options
- Aa^2 V 2 r^2
- Ba r V 2
- Ca^3 V 2 r^3
- Da V r
Correct answer
A. a^2 V 2 r^2
Step-by-step solution
No Solution
Practice Electrostatics on Quantrex Academy →
More from Electrostatics
Two particles of masses m₁ and m₂ carry identical charges. Starting from rest they are accelerated through the same potential difference. Then they enter into a region of uniform mThe breakdown field for air is about 2 10^6 volt / m . Therefore, the maximum charge that can be placed on a sphere of diameter 10 cm isA uniform spherical charge distribution of radius R produces electric fields E ₁ and E ₂ at two points at distances r₁ and r₂ respectively from the centre of the distribution. Out A charge q is situated at the origin. Let E _ A , E _ B and E _ C be the electric fields at the points A (2,-3,-1), B (-1,-2,4) and C (2,-4,1) . Therefore,A cylinder on whose surfaces there is a vertical electric field of varying magnitude as shown. The electric field is uniform on the top surface as well as on the bottom surface. ThAn electron is injected directly towards the centre of a large metal plate having a uniform surface charge density of -2.0 10⁻⁶ C / m ^2 . The initial kinetic energy of the electroAn isolated metallic object is charged in vacuum to a potential V₀ using a suitable source, its electrostatic energy being W₀ . It is then disconnected from the source and immersedA hollow conducting sphere of radius 15 cm has a uniform surface charge density +3.2 C / m ^2 . When a point charge q is placed at the centre of the sphere, the electric field at 2
Full Electrostatics list
All Olympiad workbook PYQs