1) a conducting sphere is charged up such that the voltage on its surface is 100

Question

1) a conducting sphere is charged up such that the voltage on its surface is 100V (relative to infinity) If the sphere's radius were twice as large, but the charge on the sphere did not change, the voltage on the surface would be??

2) If an isolated solid metal sphere contains an excess charge of +25 µC, the potential at the surface of this sphere is higher than the potential at its center.True or False?

3) If an object is at zero potential, it must be uncharged?? True or False

4) If the potential along the z-axis is directly proportional to the distance z along that axis, then the z component of the electric field must be constant along the z-axis. True or False???

5) If the electrical potential is 100V at 1.0 cm from a point charge, the potential will be 25 V if you go twice as far away...True or False??

Explanation / Answer

1)Voltage=50V as voltage is inversly propertional to radius.

2)true,as potential at center will be zero.

3)false,as potential can aslo be zero when object contain positive and negative charge together, but not exactly uncharged

just like polar molecule.

4)true,as we know E=dV/dr,

then if V=kr

so that E=d(kr)/dr=k=constant.

5)false ,as when you will go twice far it will be 50V.

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