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WM3Solutions - SOLUTIONS WM3 Q22-13) Yes. The charge inside...

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SOLUTIONS – WM3 Q22-13) Yes. The charge inside the cavity will pull the electrons of the metal to the inside of the shell’s surface, thus charging it with –q. The outside of the shell will then be left with a charge +q. Q23-3) a) The electric potential is the potential energy per unit charge, the electric field is the force per unit charge. Both are normalized to 1 unit charge, but the potential energy is a scalar whereas the field is a vector. b) The electric potential is the electric potential energy divided by a unit charge. Both are scalars, but while the potential energy depends on our test charge, the potential does not. Q23-8) No. If they could, the potential at the crossing point would be the same for both lines, and as they are lines that show a constant potential, the two lines would have to have the same potential everywhere. Q23-16) The relation between V and the electric field is given by = b a ab l d E V r r . This relation can be written as = −∇ = z z y y x x E E E V E r . If V is known at a point in space, E can be calculated. If E is know at a point in space, the general behavior of V can be calculated, but not its absolute value at that point as only differences in the potential can be calculated with the relation above. If V is known at a second point, e.g. at infinity, then E can be calculated as well. Q24-3) The capacitance is reduced by half.
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WM3Solutions - SOLUTIONS WM3 Q22-13) Yes. The charge inside...

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