I = \frac{E}{ \sqrt{R {}^(2) + W {}^(2) L { {}^(2) }^{} } } R Solve for R. Please help need answer ASAP. Pleased write explanation. Thank you...​

Question

`I = \frac{E}{ \sqrt{R {}^(2) + W {}^(2) L { {}^(2) }^{} } } R`

Solve for R. Please help need answer ASAP. Pleased write explanation. Thank you...​

Answer 1

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

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!