A positive test charge q is released from rest at distance r away from a charge of +Q and a distance 2r away from a charge of +2Q. 1)How will the test charge move immediately after being released?

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Complete Question

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Answer:

The correct option is the second option

Explanation:

 Generally the electric force exerted by the charge Q  on the  charge  (q) is mathematically represented as

           [tex]F_Q = \frac{kqQ}{r^2}[/tex]

 Generally the electric force exerted by the charge 2Q  on the  charge  (q) is mathematically represented as

         [tex]F_{2Q} = \frac{kq2Q}{2r^2}[/tex]    

Now the net force exerted on q is

       [tex]F_{net} = \frac{kqQ}{r^2} - \frac{2k q Q}{4r^2}[/tex]

        [tex]F_{net} = \frac{4kqQ- 2kqQ}{4r^2}[/tex]

        [tex]F_{net} = \frac{kqQ}{2r^2}[/tex]

Looking at the resulting equation we see that [tex]F_{net} > 0[/tex]

This implies that the charge q would move to the right

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