18-09-09 Motion of a charge...

A charged particle of mass m, charge q is in an electric field given by

E=E_x\sin(\alpha t)\hat{i}+E_y\sin(\beta t)\hat{j}

Find the equation of the position of the charge as a function of time

4 Answers

assuming the charge starts from origin?

yes.. that would do..

Force = q(E_xsinÎ±t +E_ysinÎ²t)
a = q(E_xsinÎ±t +E_ysinÎ²t)/m
V_x = qÎ±E_xcosÎ±t/m
V_y = qÎ²E_ycosÎ²t/m

S_x = -qÎ±²E_xsinÎ±t/m
S_y =-qÎ²²E_ysinÎ²t/m

(-q/m Ex a²Sint) i - (q/m Ey b²Sinbt) j

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