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How many electrons do you have to add to decrease the charge of an object by 16 μC?
A
1.0×10-25
B
1.0×1013
C
1.0×1014
D
1.0×1017
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1
Understand that the charge of an electron is approximately \(-1.6 \times 10^{-19}\) coulombs. This is a fundamental constant in physics.
To find out how many electrons are needed to decrease the charge by \(16 \mu C\), convert microcoulombs to coulombs. \(16 \mu C = 16 \times 10^{-6} C\).
Calculate the number of electrons required by dividing the total charge change by the charge of a single electron. Use the formula: \(\text{Number of electrons} = \frac{\text{Total charge change}}{\text{Charge of one electron}}\).
Substitute the values into the formula: \(\text{Number of electrons} = \frac{16 \times 10^{-6} C}{1.6 \times 10^{-19} C}\).
Perform the division to find the number of electrons needed. This will give you the number of electrons required to achieve the desired charge change.