Question

A charge of 100 elementary charges is equivalent to (1) 1.60 times 10^-21 C (2) 1.60 times 10^-17 C (3) 6.25 times 10^16 C (4) 6.25 times 10^20 C

Answer 1

Answer:

(2) 1.60 times 10^-17 C

Explanation:

The charge of 1 elementary charge is given by

$1 e = 1.6\cdot 10^{-19} C$

which corresponds to the charge of the proton.

To find the charge of 100 elementary charges (100 e), we need to solve the following proportion:

$1 e:1.60\cdot 10^{-19}C=100 e:x$

Solving for x we find

$x=\frac{(1.60\cdot 10^{-19} C)(100 e)}{1 e}=1.60\cdot 10^{-17}C$