Math Problem Statement
An amoeba has 1.5E+06 protons and a net charge of -2.6 pC. Calculate the total number of electrons on the amoeba.
Solution
To calculate the total number of electrons on the amoeba, we need to use the relationship between charge and the number of electrons.
The charge of a single electron is:
Step 1: Determine the net charge
The amoeba has a net charge of , which is equivalent to:
Step 2: Calculate the number of electrons
Since the amoeba has a negative charge, this indicates an excess of electrons. The number of electrons () can be calculated by dividing the total charge by the charge of a single electron: where:
- (net charge of the amoeba)
- (charge of a single electron)
Thus, the amoeba has approximately excess electrons.
Step 3: Verify with the protons
The amoeba has protons. Each proton carries a positive charge equal to the charge of an electron, but the total number of protons does not directly affect the calculation of the net charge due to the excess of electrons.
Final Answer:
The total number of excess electrons on the amoeba is approximately .
Would you like more details or have any further questions on this? Here are some related questions:
- How would the result change if the amoeba had a different net charge?
- How do protons and electrons contribute to the overall charge of an object?
- What is the role of Coulomb's law in understanding electric charge and forces?
- How can we calculate the total charge on a body using the number of protons and electrons?
- How do we convert between charge units (like pC, nC, etc.)?
Tip: When working with charges, remember that the charge of a proton is equal in magnitude but opposite in sign to that of an electron.
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Math Problem Analysis
Mathematical Concepts
Charge and Electric Forces
Electron Charge
Protons and Electrons
Formulas
N_e = Q / e
e = 1.6 x 10^-19 C
Theorems
Coulomb's Law
Suitable Grade Level
Grades 9-11
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