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A series of conceptest questions related to capacitance and electric charge. The questions cover topics such as the effect of a metal slab on capacitance, the relationship between electrostatic energy and capacitance, and the impact of charge and distance on electric fields and potentials.
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Consider two capacitors, each having plate sepa- ration d. In each case, a slab of metal of thick- ness d /3 is inserted between the plates. In case ( a ), the slab is not connected to either plate. In case ( b ), it is connected to the upper plate. The capacitance is higher for
d d^3 d
( a ) ( b )
3
capacitor plates metal slab
Consider a simple parallel-plate capacitor whose plates are given equal and opposite charges and are separated by a distance d. Suppose the plates are pulled apart until they are separated by a dis- tance D > d. The electrostatic energy stored in the capacitor is
before the plates were pulled apart.
Consider a conducting sphere carrying a charge Q. If we replace the sphere by a sphere of twice the radius, but also carrying a charge Q , which of the following change(s)? (choose all that ap- ply)
Q
P
Q
P
A certain amount of work is required to bring two point charges q near each other until they are a distance d apart. If the magnitude of the point charges were doubled to 2 q , would the work re- quired also double?
