Problem Solving
Direction: Answer the following questions.
1. How much work is required to move a charge of 4 nC from a point 2 m away to a point 0.5 m away from a point charge of 60 nC? What is the potential difference between these points?
2. A point charge q_(1)=4.00nC is placed at the origin, and a second point charge q_(2)=-3.00nC is placed on the x-axis at x=+20.0cm A third point charge q_(3)=2.00nC is to be placed on the x-axis between q_(1) and q_(2) Let the potential energy of the three charges be zero when they are infinitely far apart.
a. what is the potential energy of the system of the three charges if q_(3) is placed at x= +10.0cm
b. where should q_(3) be placed to make the potential energy of the system equal to zero?
3. A solid conducting sphere of radius 30 cm has a charge of 4mu C If the potential is zero at infinity. Find the value of the potential at the following distances from the center of the sphere:
a. 45 cm
b. 30cm
c. 15 cm

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