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 = E 0 sin ω t   i ^ where E 0 = 1.0  N   C - 1 and ω = 10 3  rad   s - 1 . Consider the…

Question

A particle, of mass 10 - 3 &#160;kg and charge 1.0 &#160; C , is initially at rest. At time t = 0 , the particle comes under the influence of an electric field E &#8594; t = E 0 sin &#969; t &#160; i ^ where E 0 = 1.0 &#160;N &#160; C - 1 and &#969; = 10 3 &#160;rad &#160; s - 1 . Consider the effect of only the electrical force on the particle. Then the maximum speed, in m &#160; s - 1 , attained by the particle at subsequent times is ____________.

Aicharya · Accepted Answer

m = 10 - 3 &#160;kg , &#160; &#160; q = 1&#160; C , &#160; t = 0 Force on particle will be F = q E = q E 0 sin &#969; t At v m a x , &#160; F = 0 &#8658; q E 0 sin &#8289; &#969; t o = 0 &#8658; &#969; t o = &#960; F = q E 0 sin &#8289; &#969; t d v d t = q E 0 m sin &#969; t &#8747; 0 v d v = &#8747; 0 &#960; &#8725; &#969; q E 0 m sin &#969; t &#160; d t v - 0 = q E 0 m &#969; - cos &#969; t 0 &#960; &#8725; &#969; &#160; v - 0 = q E 0 m &#969; - cos &#960; - - cos 0 v = 1 &#215; 1 m &#969; &#215; 2 = 2 &#160;m &#160; s - 1

A particle, of mass 10 - 3  kg and charge 1.0   C , is initially at rest. At time t = 0 , the…

Solution

A particle, of mass 10 - 3 &#160;kg and charge 1.0 &#160; C , is initially at rest. At time t = 0 , the…

Solution

A particle, of mass 10 - 3 kg and charge 1.0 C , is initially at rest. At time t = 0 , the…