A research Van de Graaff generator has a 2.00-m diameter metal sphere with a charge of 5.00 mC on it.

(a) What is the potential near its surface?
(b) At what distance from its center is the potential 1.00 MV?
(c) An oxygen atom with three missing electrons is released near the Van de Graaff generator. What is its energy in MeV when the atom is at the distance found in part b?

a)

b)

c)  

Explanation:

a) The potential equation is given by:

k is the electrostatic constant ()

Q is the charge Q = 5mC

r is the radius of the sphere r = 1 m

b) We solve it using the same equation.

Here we need to find r:

c) The relation between difference potential and electrical energy is:

here q is 3e becuase oxygen atom has three missing electrons

Therefore:

I hope it heps you!

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: