Moving Charges ...

An electron having energy $$10 eV$$ is circulating in a path of radius $$0.1m$$ having a magnetic field of $$10^{-4}T$$. The speed of the electron will be :

An electron moves with a speed $$2\times 10^{5}\ m/s$$ along the positive x-direction in the presence of a magnetic induction $$\vec{B}=\hat{i}+4\hat{j}-3\hat{k}\ T$$  . The magnitude of the force experienced by the electron in newton is :
(charge on the electron $$=1.6 \times10^{-19}C$$)

A horizontal wire carries 200 amp current below which another wire of linear density $$20\times 10^{-3}kgm^{-1}$$  carrying a current is kept at 2 cm distance. If the wire kept below hangs in air. The current in this wire is :

Two long parallel conductors are placed at right angles to a metre scale at the $$2 cm$$ and $$4 cm$$ marks, as shown in the figure. They carry currents of $$1 A$$ and $$3 A$$ respectively. They will produce zero magnetic field at the 

An experimenters diary reads as follows : A charged particle is projected in a magnetic field $$(7\hat{i}-3\hat{j}) \times10^{-3}$$T . The acceleration of the particle is found to be $$(\hat{i}+7\hat{j}) \times10^{-6}ms^{-2}$$ then coefficient of $$\hat{i}$$ is 

Two long conductors, separated by a distance d carry currents $$ I_{1}$$ and  $$ I_{2}$$ in the same direction. They exert a force F on each other. Now the current in one of them is increased to two times and its direction is reversed. The distance is also increased to 3 times. The new value of the force between them is :

When two infinitely long parallel wires separated by a distance of $$1m$$, each carry a current of $$3A$$, the force in newton/metre length experienced by each will be, (given $$\mu _{0}=4\pi \times 10^{-7}$$ S.I. Units). 

A charge $$q(>0)$$ moves towards the centre of a circular loop of radius $$R$$ along its axis. The magnitude of B along the periphery of the loop is

A wire carrying current of $$10A$$ supports a wire of $$10cm$$ long and weighing $$1 g$$ vertically above it at a distance of $$1 cm$$. The current that is passing through the wire is :

A charged particle enters a magnetic field at right angles to the field. The field exists for a length equal to 1.5 times the radius of circular path of particle. The particle will be deviated from its path by :