A research Van de Graaff generator has a 2.20 m diameter metal sphere with a charge of 48.0 µC on it. a)What is the potential (in kV) near its surface? b) At what distance from its center (in m) is the potential 100 kV? and c) An oxygen atom with three missing electrons is released near the Van de Graaff generator. What is its kinetic energy in keV at this distance

E7BP6

A conducting solid sphere of radius a = 8 cm carries a total charge Q = 5 μC. Let the potential be zero an infinite distance away. a) What is the potential at the surface of the sphere? b) Sketch the graph of the potential due to the sphere from r = 0 to r = 20 cm. c) What work must be done to bring a 0.2 μC point charge from infinity to a point 16 cm from the center of the sphere?

The electric potential V in a region of space is given by V(x, y, z) = A(x² – 3y² + z?) where A = 4.00x103 J/(C-m²). a) What is the electric field at the point (1.00 m, 1.00 m, 1.00 m)? b) If an 8.854 x 10-12 kg test charge of +1.50 µC were placed at the point (0, 0, 1.00 m) and released from rest, will it move toward the origin or away from the origin? Explain. c) After starting from rest at the point (0, 0, 1.00 m), what will be the speed of the test charge after it has traveled 1.00 m along the z-axis?