Another unit of charge is the elctrostatic unit. It is defined as follows: two p
ID: 1686269 • Letter: A
Question
Another unit of charge is the elctrostatic unit. It is defined as follows: two point charges, each of 1 esu and seperated by 1 cm, exert a force of exactly 1 dyne on each other: 1 dyne = 1 g cm/s^2 = 1e-5 N.a.) determine the relationship between the esu and the coulomb.
b.) determine the relationship between the esu and the elementry charge.
Explanation / Answer
a)obtaining 1esu in terms of C. kq1q2/r^2 = F =>9*10^9*q*q/0.01^2 = 10^-5 N =>q^2 = 10^-18/9 =>q = 10^-9/3 C = 3.33*10^-10C this q is 1 esu so, 1 esu = 3.33*10^-10C b) 1 C = 6.25*10^18e => 1 esu = 6.25*10^18 * 3.33*10^-10e = 2.08* 10^9 e