Question

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:________

Answer 1

Answer:

2790 J/C

Explanation:

charge on sphere Q = 62 nC = $62*10^{-9} C$

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

$V = \frac{kQ}{R}$

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

$V = \frac{9*10^{9} * 62*10^{-9} }{0.2}$ = $\frac{9*62}{0.2}$

V = 2790 J/C