1/R = 1/R1 + 1/R2 Solve for R1
1/R = 1/R1 + 1/R2 Solve for R1
R1R2 = RR2 + R1R
R1R2 = RR2 + R1R-R1R
R1R2 -R1R = R2R
R1(R2-R)/(R2-R) = R2R/(R2-R)
R1 = R2R/(R2-R)
Answering
To solve for R1, we can start by multiplying both sides of the equation by R*R1*R2 to eliminate the denominators.
(R*R1*R2)/R = (R*R1*R2)/R1 + (R*R1*R2)/R2
Simplifying the equation, we have:
R1*R2 = R2 + R1
Next, we can move all the terms involving R1 to one side of the equation:
R1*R2 - R1 = R2
Factoring out R1, we get:
R1(R2 - 1) = R2
Finally, we can divide both sides of the equation by (R2 - 1) to isolate R1:
R1 = R2 / (R2 - 1)
Therefore, the solution for R1 is R1 = R2 / (R2 - 1).
To solve for R1 in the equation 1/R = 1/R1 + 1/R2, we need to isolate R1 on one side of the equation.
Step 1: Start by multiplying both sides of the equation by R1. This cancels out the denominators on both sides.
R1 * (1/R) = R1 * (1/R1 + 1/R2)
Step 2: Simplify the equation by distributing R1 on the right side.
1 = R1/R1 + R1/R2
Step 3: Simplify the equation further by canceling out R1/R1, which is equal to 1.
1 = 1 + R1/R2
Step 4: Subtract 1 from both sides of the equation.
1 - 1 = R1/R2
Step 5: Simplify the equation.
0 = R1/R2
Step 6: Multiply both sides of the equation by R2 to isolate R1.
0 * R2 = R1/R2 * R2
0 = R1
So, the solution for R1 in the equation 1/R = 1/R1 + 1/R2 is R1 = 0.