(Ch. 5) A charged particle of charge q and mass m is moving in a straight...

   

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(Ch. 5) A charged particle of charge q and mass m is moving in a straight line at constant velocity vo under the influence of a uniform static electric field Eoey and uniform static magnetic field Boez. (a) Find vo (magnitude and direction) from the nonrelativistic equation of motion d dt V - q -(Ee, + vx Be) m (b) What is the condition of validity of your solution in (a)? (c) While the charged particle is moving in a straight line at the constant velocity vo determined in (a), a perturbed velocity viex is suddenly added to the particle at t = 0. Find the subsequent velocity v(t) of the particle as a function of time. [Hint: Use the equation of motion in (a) and write v(t) = vo+8v(t)] (d) Is the validity of your result in (c) subject to the condition v < (Ch. 5) A charged particle of charge q and mass m is moving in a straight line at constant velocity vo under the influence of a uniform static electric field Eoey and uniform static magnetic field Boez. (a) Find vo (magnitude and direction) from the nonrelativistic equation of motion d dt V - q -(Ee, + vx Be) m (b) What is the condition of validity of your solution in (a)? (c) While the charged particle is moving in a straight line at the constant velocity vo determined in (a), a perturbed velocity viex is suddenly added to the particle at t = 0. Find the subsequent velocity v(t) of the particle as a function of time. [Hint: Use the equation of motion in (a) and write v(t) = vo+8v(t)] (d) Is the validity of your result in (c) subject to the condition v <