a point charge of q of mass m is placed at centre of a fixed ring of charge Q and radius R. what minimum velocity should be given

1 thought on “a point charge of q of mass m is placed at centre of a fixed ring of charge Q and radius R. what minimum velocity should be given”

1. Given that,

   ⟩ Charge of ring = Q

   ⟩ Charge of particle = q

   ⟩ Mass of particle = m

   ⟩ Radius of ring = R

   We have to find magnitude of minimum required velocity which pushes point charge far away from ring[tex].[/tex]

   ❖ This question is completely based on the concept of mechanical energy conservation.

   [tex]\sf\dashrightarrow\:U_1+K_1=U_2+K_2[/tex]

   [tex]\sf\dashrightarrow\:\dfrac{1}{4\pi\epsilon_o}\cdot\dfrac{Qq}{R}+0=0+\dfrac{1}{2}mv^2[/tex]

   [tex]\sf\dashrightarrow\:v^2=\dfrac{2}{4\pi\epsilon_o}\cdot\dfrac{Qq}{mR}[/tex]

   [tex]\sf\dashrightarrow\:v^2=\dfrac{1}{2\pi\epsilon_o}\cdot\dfrac{Qq}{mR}[/tex]

   [tex]\dashrightarrow\:\underline{\boxed{\bf{\orange{v=\sqrt{\dfrac{1}{2\pi\epsilon_o}\cdot\dfrac{Qq}{mR}}}}}}[/tex]

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