In: Physics
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.
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