NEET Physics Electric Charges and Fields Questions Solved


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(2)

Let the charge on one sphere=xThen, charge on other sphere=q-xForce between the spheres:F=kx(q-x)r2=k(qx-x2)r2For maximum force between the spheres:dFdx=0q-2x=0x=q2

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Initially if we see half bubble  

                      

  So, in equilibrium,

            PinA=PoutA+4πrS

If we give charge to this bubble

                      

If we consider only half bubble, net electric force is vertically downward

Since Felectricnet > FT, bubble expands

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(2)

U=pECosθ1-Cosθ2Uf-Ui = pE Cosθ1-Cosθ2      θ1=0°    Ui=0      Uf=pE Cos0°-Cosθ      Uf=pE1-Cosθ

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(3)

Using Gauss law-
Imagine a case when a point charge q is placed at the centre of a cube of side L.

 Flux passing through cube=q/0

 By symmetry, flux passing through each square =q/60

 

When the charge is placed closer to the square face i.e. at L/2, flux passing through square face will be more.
         So:- q60<<q0

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(3)

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