Define one tesla using the expression fo the magnetic force acting on a particle of charge .q. moving with velocity `vec(v)` in a magnetic field `vec(B)`.

Answer the following: (a) Write the expression for the force vec(F) acting on a particle of mass m and charge q moving with velocity vecV in a magnetic field vecB . Under what conditions will it move in (i) a circular path and (ii) a helical path ? (b) Show that the kinetic energy of the particle moving a magnetic field remains constant.

What is the direction of the force acting on a charged particle q, moving with a velocity vec(v) a uniform magnetic field vec(B) ?

Write the expression for Lorentz magnetic force on a particle of charges 'q' moving with velocity overset(rightarrow)v in a magnetic field overset(rightarrow)B .

(a) Write the expression for the force, vecF , acting on a charged particle of charge 'q', moving with a velocity vecV in the presence of both electric field vecE and magnetic field vecB . Obtain the condition under which the particle moves undeflected through the fields. (b) A rectangular loop of size lxxb carrying a steady current I is placed in a uniform magnetic field vecB . Prove that the torque vectau acting on the loop is given by vectau=vecmxxvecB," where "vecm is the magnetic moment of the loop.

Write the expression for the magnetic force vecF acting on a charged particle q moving with vec upsilon in the presence of the magnetic field vec B in a vector form. Show that no work is done and no change in the magnitude of the velocity of the particle is produced by this force. Hence define the unit of magnetic field.

(a) Write the expression for the magnetic force acting on a k charged particle moving with velocity v in the presence of magnetic field B . (b) A neutron an electron and an alpha particel moving with equal velocities enter a uniform magnetic field going into the plane of the paper as shown. Trace their paths in the field and justify your answer .

Write an expression in a vector form for the Lorentz magnetic force vecF on a charge Q moving with velocity vecV in a magnetic field vecB . What is the direction of the magnetic force?

The direction of the magnetic force on a positive charge q moving with velocity v in a uniform magnetic field B for the following cases. (i) magnetic field is out of the plane of paper and velocity vector is eastward (ii) magnetic field is directed South ward and velocity vector is in south west direction.

The magnetic flux linked with a vector area vec(A) in a uniform magnetic field vec(B) is

The force on a charged particle moving in a magnetic field can be computed as the vector sum of the force due to each separate component of the magnetic field. As an example, a particle with charge q is moving with speed v in the -y direction. It is moving in a uniform magnetic field vec B = B_x hat i + B_y hat j + B_z hat k. a. What are the components of the force vec F exerted on the particle by the magnetic field? b. If qgt0 , what must the signs of the components of vec B be if the components of vec F are all non-negative? c. If qlt0 and B_x = B_y = B_z gt 0, find the direction and magnitude of vec F in terms of |q|, v and B_x.