True or False? The surfaces of equal potential around an infinite charged plane

Question

True or False? The surfaces of equal potential around an infinite charged plane are parallel to the plane (i.e. the surfaces never intersect the charged plane).

Suppose I center a conducting sphere of charge (radius R, total charge +Q) at the origin. How much energy would it take to move a point charge (total charge +q) from the surface of the sphere (r = R) to the center of the sphere (r = 0)?

Suppose a capacitor of capacitance C is connected to a battery with voltage V. We measure the energy stored in the capacitor to be E. If we were to now double the voltage of the battery (keeping C the same), what is the new energy stored in the capacitor?

Suppose I build a parallel plate capacitor with plate area A and plate separation D. I hook it up across a battery of voltage V and charge it up to some final charge Q. If I were to double the plate area (keeping everything else constant), what is the new charge on the capacitor?

Explanation / Answer

a)true

b)E=0

c)energy0.5CV^2

so the answer is 4E

d)C=eo*A/d

alsio q=CV

so,

rhe answer is 2Q

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