An electron enters a region of uniform magnetic field of magnitude

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

0.50\,\text{T}

. The initial speed of the electron is

2.0\times10^{6}\,\text{m s}^{-1}

and the velocity vector makes an angle of

30^{\circ}

with the magnetic field. (i) Calculate the magnitude of the magnetic force acting on the electron at the instant it enters the field. Take

e = 1.6\times10^{-19}\,\text{C}

. (ii) Determine the magnitude of the initial acceleration produced by this force. Use the electron mass

m_{e}=9.1\times10^{-31}\,\text{kg}

. (iii) Using the appropriate right-hand rule, state the direction of the magnetic force with respect to

\mathbf{v}

and

\mathbf{B}

. (No diagram is required.)