Question

20%7B%20%7B%7D%5E%7B2%7D%20%7D%5E%7B%7D%20%7D%20%7D%20R" id="TexFormula1" title="I = \frac{E}{ \sqrt{R {}^{2} + W {}^{2} L { {}^{2} }^{} } } R" alt="I = \frac{E}{ \sqrt{R {}^{2} + W {}^{2} L { {}^{2} }^{} } } R" align="absmiddle" class="latex-formula">
Solve for R. Please help need answer ASAP. Pleased write explanation. Thank you...​

Answer 1

Answer:

R = sqrt[(IWL)^2/(E^2 - I^2)] or R = -sqrt[(IWL)^2/(E^2 - I^2)]

Step-by-step explanation:

Squaring both sides of equation:

     I^2 = (ER)^2/(R^2 + (WL)^2)

<=>(ER)^2 = (I^2)*(R^2 + (WL)^2)

<=>(ER)^2 - (IR)^2 = (IWL)^2

<=> R^2(E^2 - I^2) = (IWL)^2

<=> R^2 = (IWL)^2/(E^2 - I^2)

<=> R = sqrt[(IWL)^2/(E^2 - I^2)] or R = -sqrt[(IWL)^2/(E^2 - I^2)]

Hope this helps!