Answer:
It takes 11.20 ms for the sphere to increase in potential by 1260 V
Explanation:
Using the formula q = It where I is current in Ampere, and t is in seconds
q = ( 1.000002 - 1.0000000) t
q = 0.000002t
Voltage on the surface of the sphere V = Kq / r
where K is 9.0 × 10⁹ N².m² / c² and
R = 16 cm = 16 /100 = 0.16m
V = Kq /r
substitute the value into q
V = K(0.000002t) / r
cross multiply
rV = K × 0.000002t
make t subject of the formula
t = 0.16 × 1260 / ( 9×10⁹ × 0.000002)
t = 201.6 / ( 18 × 10³)
t = 0.0112 s
= 11.20 ms
It takes 11.20 ms for the sphere to increase in potential by 1260 V
