Aresearch van de graaff generator has a 2.10 m diameter metal sphere with a charge of 1.06 mc on it. (a) what is the electric potential on the surface of the sphere

9.09 × 10⁶  volts

Explanation:

Given:

Diameter, d = 2.10 m

              ⇒    

Charge, q = 1.06 mC = 1.06 × 10⁻³ C

Electric potential is the amount of work done in moving a unit charge from a reference point to a specific point inside electric field without producing an acceleration.

where

V is the electric potential in volt

k is the coulomb's constant 9 × 10⁹ Nm²/C²

q is the unit charge in Coulomb

r is radius of the sphere give in meter

                          ∴  

                               V = 9.085 × 10⁶  volts

                               V = 9.09 × 10⁶  volts  

r = ρ x length / area  

ρ = r x area / length  

ρ is in ohm-meters  

in basic units, it is m³kg/s³a²  

i think this is it.