Math Problem Statement
- Common static electricity involves charges ranging from nanocoulombs to microcoulombs. a. How many electrons are needed to form a charge of –2.00nC
Solution
To determine how many electrons are needed to form a charge of , we can use the relationship between charge and the number of electrons.
The charge is related to the number of electrons by the equation: where:
- is the elementary charge (the charge of a single electron), which is approximately .
To find the number of electrons , we rearrange the equation:
Now, substituting the values:
Thus, electrons are needed to form a charge of .
Would you like more details or have any other questions?
Here are 5 related questions:
- How would the number of electrons change if the charge was ?
- What is the total charge if you have electrons?
- How does the elementary charge compare to other fundamental constants?
- What are practical examples of charges in microcoulombs?
- How is static electricity generated and why does it involve such small charges?
Tip: Remember, the sign of the charge indicates whether the particles are electrons (negative) or protons (positive).
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Math Problem Analysis
Mathematical Concepts
Electric Charge
Elementary Charge
Coulomb's Law
Formulas
Q = n * e
Theorems
-
Suitable Grade Level
Advanced High School
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