In the purely resistive circuit shown in Fig. P2.6, the total resistance R of the circuit is given by

R = R 1 + R 1 R 2 R 1 + R 2 (2.58)

If the total resistance of the circuit is R = 100 Ω and R 2 = 2 R 1 + 100 Ω . find

R 2 and R 1 as follows:

(a) Substitute the values of R and R 2 into equation (2.58), and simplify the resulting expression to obtain a single quadrate equation for R 1 . (b) Using the method of your choice, solve the quadratic equation for R 1 and compute the corresponding value of R 2 .