Question

A charge Q is fixed at the origin. At t = 0 a particle of mass...

A charge Q is fixed at the origin. At t = 0 a particle of mass 2.0 g and charge -3.0μC is located on the x-axis at x = 10 cm, moving with a speed of 40 m/s in the negative y direction. For what value of Q will the moving particle execute circular motion? (Neglect gravity.)

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Answer #1

Given is :-

mass of the particle m=2gm or  

charge on the particle   or

Distance between the particles r=10cm or 0.10m

speed of the particle v=40m/s

Now,

To move in circular direction there is a force needed towards center that meand the force will be of attractive nature thus Q will be a positive charge. And this force must equate to the centrifugal force of the circular motion, therefore

or

by plugging all the values in above equation, we get

or

This is the required value of charge Q

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