Please express the coulomb according to the the units of the base physical quantities

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ScanSolve AI Tutor · Accepted Answer

The coulomb (C) is the SI derived unit of electric charge. It can be expressed in terms of base SI units as follows:

Recall the definition of electric current.
Electric current ( $I$ ) is the rate of flow of electric charge ( $Q$ ) per unit time ( $t$ ). Mathematically, this is expressed as $I = \frac{Q}{t}$ .
Rearrange the formula to solve for charge ( $Q$ ).
Multiplying both sides by time ( $t$ ) gives $Q = I \times t$ .
Substitute the SI base units for current and time.
The SI base unit for electric current is the ampere (A), and the SI base unit for time is the second (s).
Express the coulomb in terms of base units.
Since $Q$ is measured in coulombs (C), $I$ in amperes (A), and $t$ in seconds (s), we have:
$1 \, \text{C} = 1 \, \text{A} \cdot \text{s}$
Therefore, the coulomb can be expressed in terms of base physical quantities as the product of the ampere and the second.

1 C = 1 A \cdot s

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