Math Problem Statement

How many electrons are needed to form a charge of –2.00nC–2.00nC

Solution

To determine how many electrons are needed to form a charge of 2.00-2.00 nC, we use the charge of a single electron.

Given:

  • Charge to be formed: Q=2.00Q = -2.00 nC
  • Charge of one electron: e=1.602×1019e = -1.602 \times 10^{-19} C

Calculation:

The number of electrons nn required is given by:

n=Qen = \frac{Q}{e}

Substituting the values:

n=2.00×109 C1.602×1019 C/electronn = \frac{-2.00 \times 10^{-9} \text{ C}}{-1.602 \times 10^{-19} \text{ C/electron}}

n1.25×1010 electronsn \approx 1.25 \times 10^{10} \text{ electrons}

Thus, 1.25×10101.25 \times 10^{10} electrons are needed to form a charge of 2.00-2.00 nC.

Would you like a breakdown of the calculation or further details?

Related Questions:

  1. What is the total charge of 5×1095 \times 10^9 electrons?
  2. How many protons are needed to form a charge of +3.00+3.00 nC?
  3. What is the significance of the elementary charge in physics?
  4. How does electron transfer create static electricity?
  5. What is the relationship between charge and electric current?

Tip:

Remember that the charge of a single electron is always negative, so when calculating charge, consider both magnitude and sign.

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Math Problem Analysis

Mathematical Concepts

Electrostatics
Charge Calculation
Unit Conversion

Formulas

n = Q / e

Theorems

Elementary Charge Theory

Suitable Grade Level

Grades 9-12