Solution 1.1 Problem Statement
Electric current is the fundamental SI electrical dimension, with the ampere (A) as its unit. Determine units for the following quantities as combinations of fundamental SI units. (a) Electric power (b) Electric charge (c) Electric potential difference (d) Electric resistance (e) Electric capacitance
Solution
(a) Power is power, whether it is electrical, mechanical, or otherwise. Thus, electric power has the usual units of power: power
energy J N m kg m 2 time s s s3
(b) Electric current is by definition the time rate of transfer of electrical charge. Thus current
or
charge time
charge current*time A s
(you probably recall that the Coulomb is the usual derived unit of charge, defined as 1 A s)
Solution continued on next page…
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