Two identical long conducting wires $$AOB$$ and $$COD$$ are placed at right angle to each other, with one above other such that $$O$$ is their common point for the two. The wires carry $$I$$₁ and $$I$$₂ currents, respectively. Point $$P$$ is lying at distance f from $$O$$ along a direction perpendicular to the plane containing the wires. The magnetic field at the point $$P$$ will be

A circular coil ABCD carrying a current 'i' is placed in a uniform magnetic field. If the magnetic force on the segment AB is $$\overrightarrow F $$, the force on the remaining segment BCDA is

A long straight wire carries a certain current and produces a magnetic field 2 $$ \times $$ 10^$$-$$4 Wb m^$$-$$2 at a perpendicular distance of 5 cm from the wire. An electron situated at 5 cm from the wire moves with a velocity 10⁷ m/s towards the wire along perpendicular to it. The force experienced by the electron will be (charge on electron 1.6 $$ \times $$ 10^$$-$$19 C)

When a proton is released from rest in a room, it starts with an initial acceleration $$a$$₀ towards west. When it is projected towards north with a speed $$v$$₀ it moves with an initial acceleration 3$$a$$₀ towards west. The an initial accelearation 3a₀ towards west. The an initial acceleration 3$$a$$₀ toward west. The electric and magnetic fields in the room are