Question

# Calculate the number of electrons constituting one coulomb of charge.

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Solution

## Step 1: Given dataTo figure out how many electrons make up one coulomb of charge,$\mathrm{e}=1.6×{10}^{-19}C$$\therefore \mathrm{q}=1\mathrm{C}$Step 2: Concept usedAn electron's charge is negative and is $1.6×{10}^{-19}\mathrm{coulomb}$.Electrons constituting one coulomb of charge,$\mathrm{q}=\mathrm{ne}$where,$q$ = charge$e$= number of electronsStep 3: Find the number of electrons$\mathrm{n}=\frac{\mathrm{q}}{\mathrm{e}}$$\mathrm{n}=\frac{1}{\left(1.6×{10}^{-19}\right)}$$\mathrm{n}=6.25×{10}^{18}\text{electrons}$ $\cong 6×{10}^{18}\text{electrons}$Therefore, the number of electrons in one coulomb of charge is $6×{10}^{18}\text{electrons}$.

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