Question

In: Physics

Place the following list of scenarios in order from greatest energy required to least energy required,...

Place the following list of scenarios in order from greatest energy required to least energy required, and explain using physics why you chose that order: i) A charge +q is brought in from ∞ to a distance r from a conducting sphere holding charge +Q; ii) A charge +q is brought in from ∞ to a distance r/2 from a conducting sphere holding charge +Q; iii) A charge +q is brought in from ∞ to a distance r from a conducting sphere holding charge +2Q; iv) A charge +q is brought in from ∞ to a distance r from a conducting sphere holding charge −Q; v) A charge +q is brought in from ∞ to an equidistance r from a conducting sphere of charge +Q and another sphere of charge −Q.

Solutions

Expert Solution

Since the point of consideration is outside the point we can consider the sphere as a point charge.

The potential energy of the system consisting of two point charges (say q1 and q2) is :

a). The difference in potential energy

, therefore the work done = -(The difference in potential energy ) =  

b). The difference in potential energy

therefore the work done = -(The difference in potential energy ) =  

c). The difference in potential energy

,

therefore the work done = -(The difference in potential energy ) =  

d). The difference in potential energy

,

therefore the work done = -(The difference in potential energy ) =  

e).The difference in potential energy

,

therefore the work done = -(The difference in potential energy ) =  

Decreasing order :

b= c >a > e> d


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