A particle of mass and charge is hung from a light inextensible string of length . The entire system is placed in a uniform horizontal electric field of magnitude . What must be the minimum initial horizontal velocity with which the particle must be projected so that it completes a vertical circle?
Details and Assumptions
Consider two parallel, grounded, conducting plates located at and . A charge of is placed at . What is the total charge induced on the plate located at in microcoulombs?
Let a charge be held fixed in space. Another charge of mass is thrown with a velocity of from an infinitely far place, as shown in the figure, such that it is at a separation of initially.
Find the minimum distance (in m) between the two charges.
Details and Assumptions
The figure shows a non-conducting, non-uniformly charged ring with linear charge densities and , mass and radius . This ring is placed on a rough horizontal surface and a horizontal electric field is switched on.
If at some instant, the ring is in the position shown above and is rolling without slipping, find the minimum coefficient of friction required.
Details & Assumptions
A thin ring of radius is charged with a charge . It is then placed over an infinitely large grounded conducting plane at a height , as shown in the figure above.
Find the magnitude of the surface charge density (in C/m) of the induced charge at the point on the plane which is exactly below the ring's center.
Details and Assumptions