Question

Make R the subject of the following formula: I=V/√R^2+wL^2

Answer 1

assuming you meant

I=V/√(R^2+wL^2)
I^2 = V^2 / (R^2 + wL^2)
I^2/V^2 = 1/(R^2 + wL^2)
R^2 + wL^2 = V^2/I^2
now finish it off

Answer 2

I bet you mean

I=V/√ (R^2+wL^2 )
if so then
√ (R^2+wL^2 ) = V/I
R^2+wL^2 = V^2 / I^2
R^2 = V^2/I^2 - w L^2
R = +/- √ (V^2/I^2 - w L^2)

Answer 3

[AI-generated answer — Explain Bot]

To make R the subject of the formula I = V / √(R^2 + wL^2), we need to isolate the variable R on one side of the equation. Here's how you can do it step by step:

Step 1: Square both sides of the equation to remove the square root:
I^2 = (V / √(R^2 + wL^2))^2

Step 2: Simplify the right side by squaring the fraction:
I^2 = (V^2 / (R^2 + wL^2))

Step 3: Multiply both sides of the equation by (R^2 + wL^2) to eliminate the denominator on the right side:
I^2 * (R^2 + wL^2) = V^2

Step 4: Expand the left side of the equation:
I^2 * R^2 + I^2 * wL^2 = V^2

Step 5: Rearrange the equation to isolate R^2 terms on one side:
I^2 * R^2 = V^2 - I^2 * wL^2

Step 6: Divide both sides of the equation by I^2 to solve for R^2:
R^2 = (V^2 - I^2 * wL^2) / I^2

Step 7: Take the square root of both sides to find R:
R = √((V^2 - I^2 * wL^2) / I^2)

And there you have it. R is now the subject of the formula.