Math Problem Statement

What is the charge on an object that has 750 excess electrons on its surface?

Solution

The charge on an object is determined by the number of excess electrons and the charge of a single electron. The charge of one electron is approximately 1.6×1019-1.6 \times 10^{-19} coulombs.

To calculate the total charge QQ on the object, multiply the number of excess electrons nn by the charge of one electron ee:

Q=n×eQ = n \times e

Given:

  • n=750n = 750
  • e=1.6×1019Ce = -1.6 \times 10^{-19}\, \text{C}

Substitute the values:

Q=750×(1.6×1019)=1.2×1016CQ = 750 \times (-1.6 \times 10^{-19}) = -1.2 \times 10^{-16}\, \text{C}

Thus, the charge on the object is 1.2×1016-1.2 \times 10^{-16} coulombs.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

  1. What is the charge on an object with 1000 excess electrons?
  2. How many electrons are required to give an object a charge of 3.2×1019-3.2 \times 10^{-19} C?
  3. What is the total charge on 1 mole of electrons?
  4. How does the charge of protons compare to that of electrons?
  5. How do conductors and insulators behave in terms of excess charges?

Tip: Remember that electrons carry a negative charge, so the excess charge on an object with extra electrons is always negative.

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Math Problem Analysis

Mathematical Concepts

Electrostatics
Charge of an electron
Basic multiplication

Formulas

Q = n × e (where Q is the total charge, n is the number of electrons, and e is the charge of a single electron)

Theorems

Conservation of Charge
Coulomb's Law (contextually relevant for understanding interactions between charges)

Suitable Grade Level

Grades 9-11