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stating proportionality The original statement is "current is inversely proportional to resistance". Could you also say "resistance is inversely proportional to current" ? Does it also apply to other proportions ?
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Yes to the 1st part. If current (I) is inversely proportional to resistance (R) then resistance is also inversely proportional to current. $$ I=\cfrac{k}{R} $$ where k is a constant. Now solving for R: $$ R=\cfrac{k}{I} $$ Which shows that resistance is inversely proportional to current. This also shows that this must be true for all proportions with this inverse relationship if you take R to be an arbitrary variable that is inversely proportional to I.
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yw
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