A particle, of mass and charge , is initially at rest. At time , the particle comes…

PHYSICS · Subjective · CBSE · Physics · Electric Charges and Fields · Electric Charges and Fields

Problem

A particle, of mass

10^{-3}\,\text{kg}

and charge

1.0\,\text{C}

, is initially at rest. At time

t = 0

, the particle comes under the influence of an electric field

\vec{E}(t) = E_0 \sin \omega t\,\hat{i}

where

E_0 = 1.0\,\text{NC}^{-1}

and

\omega = 10^3\,\text{rad s}^{-1}

. Consider the effect of only the electrical force on the particle. Then the maximum speed, in

\text{ms}^{-1}

, attained by the particle at subsequent times is ____.