Question

There exists a uniform magnetic and electric field of magnitude 1 t and 1 v/m respectively along positive y-axis. A charged particle of mass 1kg and charge 1c is having velocity 1 m/s along x-axis and is at origin at t=0. Then the coordinates of particle at time pi seconds will be

Answer 1

xx I don't know the answer of this

Answer 2

Answer:

Since the particle will accelerate along the axis in which

E

is applied, it will have a helical path. The circular path is due to the magnetic field.

T=

qB

2πm

=2πAfter π seconds, the particle will complete half the circle in the z−x plane.

r=

qB

mv

=

1×1

1×1

=1

X−coordinate will be x=0.

Z−coordinate will be z=2r=2

Co-ordinate of the particle along y−axis: y=ut+

2

1

at

2

=0t+

2

1

m

qE

t

2

=

2

1

m

qE

π

2

=

2

π

2

Hence, the co-ordinate of the particle will be (0,

2

π

2

Hope it helps you !!!