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Consider the Situation of the Previous Problem. a Particle Having Charge Q And Mass Mis Projected from the Point Q In a Direction Going into the Plane of the Diagram. - Physics

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प्रश्न

Consider the situation of the previous problem. A particle having charge q and mass mis projected from the point Q in a direction going into the plane of the diagram. It is found to describe a circle of radius r between the two plates. Find the speed of the charged particle.

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उत्तर

Given: 
Charge = q
Mass = m
Radius = r
We know that the radius described by a charged particle in a magnetic field is given by

`r = (mv) /(qB)`

Using Ampere circuital law 

`int B .dl = mu_0i`

`⇒ B. dl = mu _0 kdl ` 

`⇒ B  = mu_0 k`

`⇒ v =(Bqr)/m = (mu_0kqr)/m`

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पाठ 13: Magnetic Field due to a Current - Exercises [पृष्ठ २५२]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
पाठ 13 Magnetic Field due to a Current
Exercises | Q 53 | पृष्ठ २५२

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