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

1
rickde ·

assuming the charge starts from origin?

62
Lokesh Verma ·

yes.. that would do..

11
virang1 Jhaveri ·

Force = q(Exsinαt +Eysinβt)
a = q(Exsinαt +Eysinβt)/m
Vx = qαExcosαt/m
Vy = qβEycosβt/m

Sx = -qα2Exsinαt/m
Sy =-qβ2Eysinβt/m

1
rickde ·

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

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