In nearly all practical situations, the argument of the exponential term in Equation 7.43 for (F_{R}) is

Question:

In nearly all practical situations, the argument of the exponential term in Equation 7.43 for \(F_{R}\) is quite small. Use this fact along with Taylor's series expansion to derive an alternate equation for \(F_{R}\). Determine the range where the alternate equation and Equation 7.43 agree to within \(1 \%\).

Equation 7.43