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Answer :
Sure! Let's find the magnitude of the charge on the balloon:
1. Understand the charge of an electron: Each electron has a charge of approximately [tex]\(-1.6 \times 10^{-19}\)[/tex] coulombs. This is a tiny amount of charge, but we need to know it to calculate the total charge.
2. Determine the number of excess electrons: The problem states there is an excess of [tex]\(1.00 \times 10^9\)[/tex] electrons on the balloon. This is the number we will use to find the total charge.
3. Calculate the total charge: To find the total charge on the balloon, we need to multiply the number of excess electrons by the charge of a single electron. Here's how that works:
[tex]\[
\text{Total Charge} = \text{Number of Electrons} \times \text{Charge of One Electron}
\][/tex]
4. Perform the multiplication:
[tex]\[
\text{Total Charge} = (1.00 \times 10^9) \times (1.6 \times 10^{-19})
\][/tex]
This multiplication will give us the total charge in coulombs.
5. Find the magnitude of the charge: Since charge can be negative (as electrons carry a negative charge), the magnitude refers to the absolute value, which means we focus on the positive value of the total charge.
6. Result: After performing the multiplication, the magnitude of the charge is approximately [tex]\(1.6 \times 10^{-10}\)[/tex] coulombs.
With these steps, we find that the answer is [tex]\(1.6 \times 10^{-10}\)[/tex] coulombs, which is the magnitude of the charge on the balloon. However, none of the provided options match this result closely, which means there is likely a discrepancy in the options given or calculations interpreted for selection.
1. Understand the charge of an electron: Each electron has a charge of approximately [tex]\(-1.6 \times 10^{-19}\)[/tex] coulombs. This is a tiny amount of charge, but we need to know it to calculate the total charge.
2. Determine the number of excess electrons: The problem states there is an excess of [tex]\(1.00 \times 10^9\)[/tex] electrons on the balloon. This is the number we will use to find the total charge.
3. Calculate the total charge: To find the total charge on the balloon, we need to multiply the number of excess electrons by the charge of a single electron. Here's how that works:
[tex]\[
\text{Total Charge} = \text{Number of Electrons} \times \text{Charge of One Electron}
\][/tex]
4. Perform the multiplication:
[tex]\[
\text{Total Charge} = (1.00 \times 10^9) \times (1.6 \times 10^{-19})
\][/tex]
This multiplication will give us the total charge in coulombs.
5. Find the magnitude of the charge: Since charge can be negative (as electrons carry a negative charge), the magnitude refers to the absolute value, which means we focus on the positive value of the total charge.
6. Result: After performing the multiplication, the magnitude of the charge is approximately [tex]\(1.6 \times 10^{-10}\)[/tex] coulombs.
With these steps, we find that the answer is [tex]\(1.6 \times 10^{-10}\)[/tex] coulombs, which is the magnitude of the charge on the balloon. However, none of the provided options match this result closely, which means there is likely a discrepancy in the options given or calculations interpreted for selection.
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