How many electrons make up a charge of -30.0 ìC?
divide the total charge by the charge on one electron: 1.6E-19coulombs
Is the total charge 3.0 x 10^-6 C?
To determine the number of electrons that make up a charge of -30.0 μC, you need to know the fundamental charge of an electron and the definition of a coulomb (C).
The fundamental charge of an electron (e) is approximately -1.6 × 10^-19 coulombs (C). This means that one electron carries a charge of -1.6 × 10^-19 C.
A coulomb (C) is defined as the charge transported by a constant current of 1 ampere (A) in 1 second (s). So -30.0 μC means a charge of -30.0 × 10^-6 C.
To calculate the number of electrons in this charge, divide the total charge by the charge of a single electron:
Number of electrons = Total charge / Charge of a single electron
Number of electrons = (-30.0 × 10^-6 C) / (-1.6 × 10^-19 C)
Simplifying the expression:
Number of electrons = (30.0 × 10^6) / (1.6 × 10^-19)
Number of electrons ≈ 1.875 × 10^13
Therefore, a charge of -30.0 μC is approximately equivalent to 1.875 × 10^13 electrons.