1. How much work is required to move a charge of 4 nC from a point 2m 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-4.00 nC is placed at the origin, and a second point charge 92=-3.00 nC is placed on the x-axis at x=+20.0 cm. A third point charge q3=2.00 nC is to be placed on the x-axis between q, and q2. 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, is placed at x=+10.0 cm? b) where should q3 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 4 uC. 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) 30 cm c) 15 cm 1. How much work is required to move a charge of 4 nC from a point 2m 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-4.00 nC is placed at the origin, and a second point charge 92=-3.00 nC is placed on the x-axis at x=+20.0 cm. A third point charge q3=2.00 nC is to be placed on the x-axis between q, and q2. 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, is placed at x=+10.0 cm? b) where should q3 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 4 uC. 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) 30 cm c) 15 cm