Physics Electric Charge and Field

A big circular coil of 1000 turns, and average radius 10 m is rotating about its horizontal diameter at 2 rad ${\mathrm{s}}^{-1}$ . If the vertical component of earth's magnetic field at that place is $2*{10}^{-5}\mathrm{T}$ and electrical resistance of the coil is $12.56\mathrm{\Omega }$ , then the maximum induced current in the coil will be:

An electric dipole is placed at an angle of ${30}^{?}$ with an electric field of intensity $2*{10}^5{\mathrm{N}\mathrm{C}}^{-1}$ . It experiences a torque equal to $4\mathrm{N}\mathrm{m}$ . Calculate the magnitude of charge on the dipole, if the dipole length is $2\mathrm{c}\mathrm{m}$ .

An oil drop of radius 2 mm with a density 3gcm?³ is held stationary under a constant electric field 3.55 * 10? Vm?¹ in the Millikan's oil drop experiment. What is the number of excess electrons that the oil drop will possess? Consider g = 9.81 m/s².

A small point mass carrying some positive charge on it, is released from the edge of a table. There is a uniform electric field in this region in the horizontal direction. Which of the following options then correctly describe the trajectory of the mass? (Curves are drawn schematically and are not to scale)

A charged particle (mass m and charge q) moves along x axis with velocity V₀. When it passes through the origin it enters a region having uniform electric field E = -Ej which extends upto x = d. Equation of path of electron in the region x > d is:

Charge Q? and Q? are at point A and B of a right angle triangle OAB (see figure). The resultant electric field at point O is perpendicular to the hypotenuse, then Q?/Q? is proportional to:

Two infinite planes each with uniform surface charge density $+\sigma$ $$ are kept in such a way that the angle between them is ${30}^{?}$ ${}^{}$ . The electric field in the region shown between them is given by:

A simple pendulum of mass 'm', length 'l' and charge '+q' suspended in the electric field produced by two conducting parallel plates as shown. The value of deflection of pendulum in equilibrium position will be:

What will be the magnitude of electric field at point O as shown in figure? Each side of the figure is l and perpendicular to each other?

A particle of mass 1 mg and charge q is lying at the mid-point of two stationary particles kept at a distance 2 m when each is carrying same charge q'. If the free charged particle is displaced from its equilibrium position through distance 'x' (x << 1m). The particle executes SHM. Its angular frequency of oscillation will be ______ * 10? rad/s if q' = 1 C.