A positively charged particle of charge and mass is revolving along a circle of…

PHYSICS · Subjective · CBSE · Physics · Moving Charges and Magnetism · Moving Charges and Magnetism

Problem

A positively charged particle of charge

1\,\text{C}

and mass

40\,\text{g}

is revolving along a circle of radius

40\,\text{cm}

with velocity

5\,\text{m/s}

in a uniform magnetic field, with centre at the origin

O

in the

xy

-plane. At

t=0

, the particle was at

(0,0.4\,\text{m},0)

and its velocity was directed along the positive

x

-direction. Another particle of charge

1\,\text{C}

and mass

10\,\text{g}

, moving uniformly parallel to the

z

-direction with velocity

\frac{40}{\pi}\,\text{m/s}

, collides with the revolving particle at

t=0

and gets stuck to it. Neglect gravitational and Coulomb forces. Calculate the

x

y

-, and

z

-coordinates of the combined particle at

t=\frac{\pi}{40}\,\text{s}