A total charge of 62 nC is uniformly distributed throughout a non-conducting sphere with a radius of 5.00 cm. The electric potential at r = 15.0 cm , relative to the potential far away, is:________

Respuesta :

Answer:

2790 J/C

Explanation:

charge on sphere Q = 62 nC = [tex]62*10^{-9} C[/tex]

radius of the sphere r = 5.0 cm = 0.05 m

distance away from reference point d = 15.0 cm = 0.15 m

total distance of charge relative reference point R = r + d = 0.05 + 0.15 = 0.2 m

electric potential V is given as

[tex]V = \frac{kQ}{R}[/tex]

where k = Coulumb's constant = [tex]9*10^{9}[/tex] kg⋅m³⋅s⁻⁴⋅A⁻²

[tex]V = \frac{9*10^{9} * 62*10^{-9} }{0.2}[/tex] = [tex]\frac{9*62}{0.2}[/tex]

V = 2790 J/C