A particle having mass m and charge `q` is released from the origin in a region in which ele field and magnetic field are given by `B=-B_0hatj`and `E=E_0hatk`.
Find the y- component of the velocity and the speed of the particle as a function of it z-coordinate.

A particle having mass m and charge q is released from the origin in a region in which electric field and megnetic field are given by vec(B) = -B_(0)hat(j) and vec(E) = vec(E)_(0)hat(k) . Find the speed of the particle as a function of its z -coordinate.

A particle having mass m and charge q is released from the origin in a region in which electric field and magnetic field are ginen by B=+B_(0)hatj and vecE=+E_(0)hati . Find the speed of the particle as a function of its X -coordinate.

A particle having mass m and charge q is released from the origin in a region in which electric field and magnetic field are given by vecB =- B_0vecJ and vecE - E_0 vecK. Find the speed of the particle as a function of its z-coordinate.

A particle having mass m and charge q is released from the origin in a region in which electric field and magnetic field are given by vecB =- B_0vecJ and vecE - E_0 vecK. Find the speed of the particle as a function of its z-coordinate.

A particle having mass m and charge q is released from the origin in a region in which electric field and magnetic field are given by vecB =- B_0vecJ and vecE - E_0 vecK. Find the speed of the particle as a function of its z-coordinate.

A particle having charge q moves with a velocity v through a region in which both an electric field vecE and a magnetic field B are present. The force on the particle is

A particle having charge q moves with a velocity v through a region in which both an electric field vecE and a magnetic field B are present. The force on the particle is

Two particles have equal mass m and electric charge of equal magnitude (q) and opposite sign. The particles are held at rest at co-ordinates (– a, 0) and (a, 0) as shown in the figure. The particles are released simultaneously. Consider only the electrostatic force between the particles and the force applied by the external magnetic field on them. (a) Find the speed of negatively charged particle as function of its x co-ordinate. (b) Find the y component of velocity of the negative particle as a function of its x co-ordinate.

A particle of charge q and mass m released from origin with velocity vec(v) = v_(0) hat(i) into a region of uniform electric and magnetic fields parallel to y-axis. i.e., vec(E) = E_(0) hat(j) and vec(B) = B_(0) hat(j) . Find out the position of the particle as a functions of time Strategy : Here vec(E) || vec(B) The electric field accelerates the particle in y-direction i.e., component of velocity goes on increasing with acceleration a_(y) = (F_(y))/(m) = (F_(e))/(m) = (qE_(0))/(m) The magnetic field rotates the particle in a circle in x-z plane (perpendicular to magnetic field) The resultant path of the particle is a helix with increasing pitch. Velocity of the particle at time t would be vec(v) (t) = v_(x) hat(i) + v_(y) hat(j) + v_(z) hat(k)