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 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 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)

A charged particle of mass m and charge q is projected on a rough horizontal XY plane. Both electric and magnetic fields are given by vec(E)=-10hat(k)N//C and magnetic field vec(B)=-5vec(k) tesla are present in the region. The particle enters into the magnetic field at (4,0,0)m with a velocity 50vec(j) m//sec . The particle starts into a curved path on the plane. If coefficietn of friction mu=(1)/(3) between particle and plane, then (qE=2mg,g=10m//s^(2)) . Total work done by electric force on the particle is

A charged particle of mass m and charge q is projected on a rough horizontal XY plane. Both electric and magnetic fields are given by vec(E)=-10hat(k)N//C and magnetic field vec(B)=-5vec(k) tesla are present in the region. The particle enters into the magnetic field at (4,0,0)m with a velocity 50vec(j) m//sec . The particle starts into a curved path on the plane. If coefficietn of friction mu=(1)/(3) between particle and plane, then (qE=2mg,g=10m//s^(2)) . The time after which particle comes to rest, is

A charged particle of mass m and charge q is projected on a rough horizontal XY plane. Both electric and magnetic fields are given by vec(E)=-10hat(k)N//C and magnetic field vec(B)=-5vec(k) tesla are present in the region. The particle enters into the magnetic field at (4,0,0)m with a velocity 50vec(j) m//sec . The particle starts into a curved path on the plane. If coefficietn of friction mu=(1)/(3) between particle and plane, then (qE=2mg,g=10m//s^(2)) . Total distance covered by the particle is

A charged particle of mass m and charge q is projected on a rough horizontal XY plane. Both electric and magnetic fields are given by vec(E)=-10hat(k)N//C and magnetic field vec(B)=-5vec(k) tesla are present in the region. The particle enters into the magnetic field at (4,0,0)m with a velocity 50vec(j) m//sec . The particle starts into a curved path on the plane. If coefficietn of friction mu=(1)/(3) between particle and plane, then (qE=2mg,g=10m//s^(2)) . Radius of curvature of the path followed by particle, initially is

Magnetic force on a charged particle is given by vec F_(m) = q(vec(v) xx vec(B)) and electrostatic force vec F_(e) = q vec (E) . A particle having charge q = 1C and mass 1 kg is released from rest at origin. There are electric and magnetic field given by vec(E) = (10 hat(i)) N//C for x = 1.8 m and vec(B) = -(5 hat(k)) T for 1.8 m le x le 2.4 m A screen is placed parallel to y-z plane at x = 3 m . Neglect gravity forces. The speed with which the particle will collide the screen is

Magnetic force on a charged particle is given by vec F_(m) = q(vec(v) xx vec(B)) and electrostatic force vec F_(e) = q vec (E) . A particle having charge q = 1C and mass 1 kg is released from rest at origin. There are electric and magnetic field given by vec(E) = (10 hat(i)) N//C for x = 1.8 m and vec(B) = -(5 hat(k)) T for 1.8 m le x le 2.4 m A screen is placed parallel to y-z plane at x = 3 m . Neglect gravity forces. y-coordinate of particle where it collides with screen (in meters) is