12.07.2015 Views

Chapter 4 SINGLE PARTICLE MOTIONS 4.1 Introduction

Chapter 4 SINGLE PARTICLE MOTIONS 4.1 Introduction

Chapter 4 SINGLE PARTICLE MOTIONS 4.1 Introduction

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

118(c) Assume that at t =0, the electron is located at the origin of the coordinatesystem with zero velocity. Neglect the time varying par of B. Verify that theelectron velocity is given byv x (t) =−(eE 0 /m)t cos(ω c t)v y (t) =−(eE 0 /m)t sin(ω c t)and that its trajectory is given byx(t) =−(eE 0 /m)[(1/ωc)cos(ω 2 c t)+(t/ω c )sin(ω c t) − 1/ωc]2y(t) =−(eE 0 /m)[(1/ωc 2 )sin(ω ct) − (t/ω c )cos(ω c t)]

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!