(Solved):   An electron follows a helical path in a uniform magnetic field given by \( \mathrm{B}=(20 ...

 

An electron follows a helical path in a uniform magnetic field given by \( \mathrm{B}=(20 \hat{\mathrm{i}}+50 \hat{\mathrm{j}}+30 \mathrm{k}) \mathrm{mT} \). At time \( \mathrm{t}=0 \), the electron's velocity is given by \( \mathrm{v}=(20 \hat{\imath}+30 \hat{\jmath}+50 \mathrm{k}) \mathrm{m} / \mathrm{s} \). Find: (a) What is the angle between velocity and magnetic field? (b) What will be the time period and the radius of the electrons orbit? (c) Find the pitch of the helical path