The energy scale of inflation is of much interest, as it suggests the
scale of grand unified physics, governs whether cosmological events su
ch as topological defect formation can occur after inflation, and also
determines the amplitude of gravitational waves which may be detectab
le using interferometers. The COBE results are used to limit the energ
y scale of inflation at the time large scale perturbations were imprin
ted. An exact dynamical treatment based on the Hamilton-Jacobi equatio
ns is then used to translate this into limits on the energy scale at t
he end of inflation. General constraints are given, and then tighter c
onstraints based on physically motivated assumptions regarding the all
owed forms of density perturbation and gravitational wave spectra. The
se are also compared with the values of familiar models.