THE CHARGE ON AN OBJECT - EXAMPLES • A balloon rubbed against someone's hair gains nine electrons. What is the charge of the balloon in coulombs? • Proportion? 1e 9e 1.6 × 10-19C

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**The Charge on an Object - Examples**

- **A balloon rubbed against someone’s hair gains nine electrons. What is the charge of the balloon in coulombs?**
  - **Proportion?**
    \[
    \frac{1e}{1.6 \times 10^{-19}C} = \frac{9e}{x}
    \]

In the equation provided, the proportion is used to determine the charge of nine electrons when given the charge of a single electron. The left side of the proportion represents the charge of one electron (1e) divided by the fundamental charge of an electron in coulombs (\(1.6 \times 10^{-19}C\)). 

The right side of the equation sets this equal to the charge of nine electrons (9e) divided by the unknown charge (x) in coulombs.

To solve for x (the total charge), you would cross-multiply and solve:

\[
1e \times x = 9e \times 1.6 \times 10^{-19}C
\]

\[
x = 9e \times 1.6 \times 10^{-19}C
\]

\[
x = 1.44 \times 10^{-18}C
\]

Thus, the charge of the balloon after gaining nine electrons is \(1.44 \times 10^{-18}\) coulombs.
Transcribed Image Text:**The Charge on an Object - Examples** - **A balloon rubbed against someone’s hair gains nine electrons. What is the charge of the balloon in coulombs?** - **Proportion?** \[ \frac{1e}{1.6 \times 10^{-19}C} = \frac{9e}{x} \] In the equation provided, the proportion is used to determine the charge of nine electrons when given the charge of a single electron. The left side of the proportion represents the charge of one electron (1e) divided by the fundamental charge of an electron in coulombs (\(1.6 \times 10^{-19}C\)). The right side of the equation sets this equal to the charge of nine electrons (9e) divided by the unknown charge (x) in coulombs. To solve for x (the total charge), you would cross-multiply and solve: \[ 1e \times x = 9e \times 1.6 \times 10^{-19}C \] \[ x = 9e \times 1.6 \times 10^{-19}C \] \[ x = 1.44 \times 10^{-18}C \] Thus, the charge of the balloon after gaining nine electrons is \(1.44 \times 10^{-18}\) coulombs.
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