How many excess electrons would give a tiny metal spheres a charge of -4,8×10^-9

1 answer

To calculate the number of excess electrons required to give a metal sphere a charge of -4.8 x 10^-9 C, we need to use the formula:

Q = n*e

Where:
Q = total charge of the sphere (-4.8 x 10^-9 C)
n = number of excess electrons
e = elementary charge (1.6 x 10^-19 C)

Substitute the values into the formula:

-4.8 x 10^-9 C = n * 1.6 x 10^-19 C

Solve for n:

n = (-4.8 x 10^-9 C) / (1.6 x 10^-19 C)
n = 3 x 10^10

Therefore, approximately 3 x 10^10 excess electrons would give the metal sphere a charge of -4.8 x 10^-9 C.