11. A conductor when thermally heated possess large number offreely moving electron,even then no magnetic field is

experienced near such a conductor.What do you conclude?
12. A particle of mass m and charge q moves at right angles to auniform magnetic field. Plot a graph showing the variation of theradius of the circular path described by it with the increase in its
(a) charge,(b) kinetic energy,where ,in each case other factorsremain constant .Justify your answer.
13. A charged paricle having a charge q ,is moving with a speed valong the x-axis. It enters a region of space where an electric field E along y-axis and a magnetic field B are both present. The particle, on emerging from this region, is observed to be moving along the x-axis only. Obtain an expression for the magnitude of B in terms of v and E. Also give the direction of B.
14 A long wire is first bent into a circular coil of one turn and then intoa circular coil of smaller radius having n turns. If the same current passes in both the cases find the ratio of the magnetic fieldproduced at the centers in the two cases.
15. Why is diamagnetism independent of temperature?

Answer to some of your questions:

11)When a conductor is heated the electrons start moving in random direction, there is no one direction and thus there will be no magnetic field around this conductor. 

12) The force experienced by the particle:

F = q(v X B) = qvB

mv2/r = qvB

r = mv/qB

Using the above expression, please try to plot the graph.

a) radius is inversely proportional to the charge. As the charge increases the radius decreases.  

b) r is directly proportional to the energy.  So, if the particle enters the magnetic field with greater energy it will describe a bigger path. 

 

13) Lorentz force 

F = qE +q(v X B)

v = v i

E = Ej

Since the particle emerges out of the region in its original direction.

FE = -FB

E = -vB

Magnitude of B = E/v

Direction of B is along the negative z axis. 

 

Due to paucity of time it would not be possible for us to provide the answers to all your queries. We are providing solutions to some your good queries. Try solving rest of the questions yourself and if you face any difficulty then do get back to us.

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