Derive Eqs. 3.443.49 from Eqs. 3.413.43. The following two
Chapter 3, Problem 3.65(choose chapter or problem)
Derive Eqs. 3.443.49 from Eqs. 3.413.43. The following two hints should help you get started in the right direction: 1) To find R as a function of Ra ,Rb and Rc, first subtract Eq. 3.42 from Eq. 3.43 and then add this result to Eq. 3.41. Use similar manipulations to find R and R and as functions of Ra ,Rb and Rc 2) To find Rb as a function of R, R and R, take advantage of the derivations obtained by hint (1), namely, Eqs. 3.443.46. Note that these equations can be divided to obtain. R2 R3=RcRb, or Rc = R2R3Rb and R1 R2=RbRa,orRa = R2R1Rb Now use these ratios in Eq. 3.43 to eliminate Ra and Rc. Use similar manipulations to find Ra and Rc as function of R, R and R.
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