A phase-locked loop has a center frequency of 10⁵  rad/s, a K_O of 10³ rad/V-s, and a K_D  of 1 V/rad. There is no other gain in the loop. Determine the loop bandwidth in the first-order loop configuration. Determine the single-pole, loop-filter pole location to give the closed-loop poles located on 45◦ radials from the origin.