•• The formula (11.1) for the power P radiated by an accelerating charge q can be derived...

•• The formula (11.1) for the power P radiated by an accelerating charge q can be derived by the method of dimensional analysis. Since P would be expected to involve k, q, a, and c, we might reasonably guess that it should have the form

where b is some dimensionless number of order 1 (perhaps something like 4π) and where l, m, n, and, p are unknown powers (and k is the Coulomb force constant ≈ 9 × 109 N · m2 · C−2). By inserting their units into the five dimensional quantities in (11.48), you will get an equation that determines the unknown powers l, m, n, and p. Show that you obtain the correct form (11.1), except that the dimensionless number b cannot be determined.