I=nE/R+nr solve for R.
To solve the equation I=nE/R+nr for R, we need to isolate the variable R on one side of the equation. Let's go step by step:
1. Start with the given equation: I = nE/R + nr.
2. Multiply both sides of the equation by R to eliminate the denominator on the right side:
IR = nE + nrR.
3. Move nrR to the left side of the equation by subtracting nrR from both sides:
IR - nrR = nE.
4. Factor out R on the left side of the equation:
R(I - nr) = nE.
5. Finally, isolate R by dividing both sides of the equation by (I - nr):
R = nE / (I - nr).
So, the solution for R in terms of the other variables is R = nE / (I - nr).
To solve for R in the equation I = nE/R + nr, we can start by isolating the term with R on one side of the equation.
1. Begin by subtracting the term nr from both sides of the equation:
I - nr = nE/R
2. Next, multiply both sides of the equation by R to eliminate the denominator on the right side:
R(I - nr) = nE
3. Expand the expression on the left side by distributing R:
RI - Rnr = nE
4. Now, move the term -Rnr to the other side of the equation by adding it to both sides:
RI = nE + Rnr
5. To isolate R, subtract nE from both sides of the equation:
RI - nE = Rnr
6. Divide both sides of the equation by nr to solve for R:
(RI - nE) / nr = R
Therefore, the solution for R in the equation I = nE/R + nr is:
R = (RI - nE) / nr
If you mean
I = nE/R + nr
then
I-nr = nE/R
R = nE/(I-nr)
If you mean
I = nE/(R+nr)
then
R+nr = nE/I
R = nE/I - nr