3. Consider an electron at rest in a region of uniform magnetic eld I? = Bf. It is given a kick to give it an initial velocity 13 = 1229': + 'vzz'. (a) Qualitatively describe the path of the electron as it moves in the eld. How is this different than the cyclotron motion discussed previously? Hint: the particle has some component of velocity parallel to the eld. (b) Write an expression for the displacement of the electron after it returns to the same a: and y coordi- nates in terms of B, 1);, e, and me. (The difference in the zcoordinate). Note that your nal answer should not depend on '03. 6) 82. 0