QQuestionPhysics
QuestionPhysics
Calculate the number of elementary charges on an object that contains 1 coulomb of charge.
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Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Recall the fundamental definition of elementary charge
The elementary charge ($$e$$) is the magnitude of electric charge carried by a single proton or electron.
This is a fundamental physical constant.
Step 3:: Recall the value of elementary charge
The elementary charge is $$e = 1.602 \times 10^{-19}$$ coulombs.
Step 4:: Set up the calculation to find the number of elementary charges
N = \frac{1 \mathrm{~C}}{1.602 \times 10^{-19} \mathrm{~C}}
To find the number of elementary charges in 1 coulomb, we need to divide the total charge by the charge of a single elementary charge.
Step 5:: Perform the division
N = \frac{1}{1.602 \times 10^{-19}} = 6.241 \times 10^{18}
Final Answer
The number of elementary charges in 1 coulomb is 6.241 \times 10^{18} elementary charges. Key Insight: This calculation demonstrates how many fundamental electric charges are required to make up one coulomb of charge, highlighting the incredibly small size of the elementary charge.
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