In the figure of the charge q is released at the origin. Find its x and y components of velocity as a function of time t and give the type of trajectory of the charged particle.
Given:
Electric field E acts along the +ve y axis and in xy plane there exists a uniform magnetic field B acting along +ve z axis. Mass of charged particle is m.
Ans:
Trajectory: Cycloid
vx=(E/B){1-cos(qBt/m)}
vy=(E/B)sin(qBt/m)
In the figure of the charge q is released at the origin. Find its x and y components of velocity as a function of time t and give the type of trajectory of the charged particle.
Given:
Electric field E acts along the +ve y axis and in xy plane there exists a uniform magnetic field B acting along +ve z axis. Mass of charged particle is m.
Ans:
Trajectory: Cycloid
vx=(E/B){1-cos(qBt/m)}
vy=(E/B)sin(qBt/m)
Deepak Patra , 11 Years ago
Grade upto college level
