Engineering
Physics
Charge and Coulombs Law
Question

A particle, of mass 10–3. kg and charge 1.0 C, is initially at rest. At time t = 0, the particle comes under the influence of an electric field E→(t)=E0sinωt i^,where E0 = 1.0 N C–1 and ω = 103 rad s–1. Consider the effect of only the electrical force on the particle. Then the maximum speed, in m s–1, attained by the particle at subsequent times is ___________.

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Solution

F = qE0 sinωt = mdvdt;

speed is maximum when dvdt=0

ωt = π ⇒ t = π/ω

dvdt=0

v=2q.E0mω=2 m/s