Question

When power and current are known use R = P/I^2 to calculate the resistance.

Answer 1

$\bf{ \underline{Given:- }}$

$\sf• \: Power \:( P) = 300 \: watts$

$\sf• \: Current \: (I) = 30 \: amps$

$\bf{ \underline{To \: Find:- }}$

$\sf• \: The \: Resistance$

$\huge\bf{ \underline{Solution :-:- }}$

$\bf \red {\bigstar{ Formula \: of \: Power \: (P) = \frac{ {I}^{2} }{R}}}$

$\sf \rightarrow 300= \frac{ {30}^{2} }{ R}$

$\sf \rightarrow 300 = \frac{900}{ R}$

$\rightarrow \sf R = \frac{300}{900}$

$\rightarrow \sf R = \frac{1}{3}$

$\rightarrow \sf R = 0.33$

$\bf \purple{Hence, \: the \: resistance \: is \: 0.33 \: Ω \: . }$