A charged particle of mass m and charge +q starts off at the origin of the coordinate system at time t = 0 with an initial velocity i = vo â. The space is filled with a uniform electric field Ē = E ¿ and a uniform magnetic field B = –B 2. (a) At what time tį will the particle arrive at the y-z plane for the first time? At what position (0, y1, 21)? Express t1, Y1, and z1 in terms of m, q, w, B and/or E. В m (b) At what time tą will the particle arrive at a point on the z-axis for the first time? At what position (0,0, z2)? Express t2 and z2 in terms of m, q, vo, B and/or E.

A charged particle of mass m and charge +q starts off at the origin of the coordinate system at time t = 0 with an initial velocity i = vo â. The space is filled with a uniform electric field Ē = E ¿ and a uniform magnetic field B = –B 2. (a) At what time tį will the particle arrive at the y-z plane for the first time? At what position (0, y1, 21)? Express t1, Y1, and z1 in terms of m, q, w, B and/or E. В m (b) At what time tą will the particle arrive at a point on the z-axis for the first time? At what position (0,0, z2)? Express t2 and z2 in terms of m, q, vo, B and/or E.