Final answer:
The number of electrons needed to form a charge of -2.00 nC is approximately 1.25 x 10^10 electrons. To leave a net charge of 0.500 μC on an object, about 3.12 x 10^12 electrons must be removed.
Step-by-step explanation:
Common static electricity involves charges ranging from nanocoulombs to microcoulombs. To answer the question:
- How many electrons are needed to form a charge of -2.00 nC?
- The charge of one electron is approximately -1.602 x 10-19 coulombs. Therefore, to find the number of electrons needed to form a -2.00 nC charge, you divide the total charge by the charge of one electron:
- Number of electrons = Total charge / Charge per electron = 2.00 x 10-9 C / 1.602 x 10-19 C/electron ≈ 1.25 x 1010 electrons.
- How many electrons must be removed from a neutral object to leave a net charge of 0.500 μC?
- Similarly, the net charge of 0.500 μC is 0.500 x 10-6 C. Using the same approach:
- Number of electrons removed = Net charge / Charge per electron = 0.500 x 10-6 C / 1.602 x 10-19 C/electron ≈ 3.12 x 1012 electrons.