A particle of charge q and mass m starts moving from the origin under the action of an electric field `vec E = E_0 hat i and vec B = B_0 hat i` with a velocity `vec v = v_0 hat j`. The speed of the particle will become `2v_0` after a time.

A particle of charge q and mass m starts moving from the origin under the action of an electric field vecE=E_0 hat i and vec B=B_0 hat i with velocity vec v=v_0 hat j . The speed of the particle will become 2v_0 after a time

The electric field acts positive x -axis. A charged particle of charge q and mass m is released from origin and moves with velocity vec(v)=v_(0)hatj under the action of electric field and magnetic field, vec(B)=B_(0)hati . The velocity of particle becomes 2v_(0) after time (sqrt(3)mv_(0))/(sqrt(2)qE_(0)) . find the electric field:

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.

Charge Q is given a displacement vec r = a hat i + b hat j in an electric field vec E = E_1 hat i + E_2 hat j . The work done is.

A particle of mass m and charge q is moving in a region where uniform, constant electric and mangetic fields vec E and vec B are present. vec E and vec B are parallel to each other. At time t=0, the velocity vec v_0 of the particle is perpendicular to vec E (Assume that its speed is always lt lt c , the speed of light in vacuum). Find the velocity vec v of the particle at time t . You must express your answer in terms of t, q, m, the vector vec v_0, vec E and vec B and their magnitudes vec v_0, vec E and vec B .

A charged particle of specific charge (charge/mass) alpha released from origin at time t=0 with velocity vec v = v_0 (hat i + hat j) in uniform magnetic field vec B = B_0 hat i. Coordinates of the particle at time t= pi//(B_0 alpha) are

In a region of space , suppose there exists a uniform electric field vec(E ) = 10 hat(i) ( V /m) . If a positive charge moves with a velocity vec(v ) = -2 hat(j) , its potential energy

Electric field and magnetic field in a region of space are given by (Ē= E_0 hat j) . and (barB = B_0 hat j) . A charge particle is released at origin with velocity (bar v = v_0 hat k) then path of particle is