Two Point Positive charges q each are Place d a a

Question

Two Point Positive charges q each are Place d a at (-a ,0 ) and (a,0 ). A third charge q' iട placed at (0, y) For which value of y the force on q ' is maximum ?

Rajat · Accepted Answer

Let the charges q be placed on A and B and q' be placed on C. O is the origin.Let angle ACO= x So, AC =BC = a cosecxForce on q' by each charge = kqq'/a^2cosec^2xVector sum of the total force acting on charge q' =2(kqq'/a^2cosec^2x)cosx= (2kqq'/a^2)sin^2xcosxEnough to maximise sin^2xcosx Differentiating it we get sinx(3cos^2x-1) = 0So, x = 0 ( not possible since q' have to be at infinity) And cosx= 1/√3So, y/√(y^2+a^2) = 1/√3Or, (y^2+a^2)/y^2 = 3Or, (a/y)^2= 2So, y = a/√2

Electrostatics> Two Point Positive charges q each are Pla...

Two Point Positive charges q each are Place d a at (-a ,0 ) and (a,0 ). A third charge q' iട placed at (0, y) For which value of y the force on q ' is maximum ?

Haridas , 6 Years ago

Rajat

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Electrostatics> Two Point Positive charges q each are Pla...

Two Point Positive charges q each are Place d a at (-a ,0 ) and (a,0 ). A third charge q' iട placed at (0, y) For which value of y the force on q ' is maximum ?

Haridas , 6 Years ago

Rajat

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