I=nE/R+nr
Solve for R. Simplify
To solve for R in the equation I = nE/R + nr and simplify the expression, follow these steps:
Step 1: Start by isolating the term with R on one side of the equation. Subtract nr from both sides to obtain:
I - nr = nE/R
Step 2: Next, multiply both sides by R to eliminate the fraction:
R(I - nr) = nE
Step 3: Distribute R to both terms inside the parentheses:
RI - nrR = nE
Step 4: Move the term with R to the other side of the equation by adding nrR to both sides:
RI = nE + nrR
Step 5: Factor R out of the right side of the equation:
RI = nE + R(nr)
Step 6: Now, we can factor R out of the equation:
R(I - nr) = nE
Step 7: Finally, divide both sides of the equation by (I - nr) to solve for R:
R = nE / (I - nr)
This is the simplified form of the equation after solving for R.