l. Cockroaches use their antennae to detect electric fields in order to avoid them. You use this to design ,a a device to keep roaches away. Your device can he " modeled as a point charge q. You know that '- roaches can detect an electric field when it has a magnitude of 5,3110 NEG. You want your device to keep roaches awaj,r from a circular area with r = II . 5.50 or [about 18 feet). See figure. ' [i =? (a) What point charge :1] should be inside your \"'5' math 30\"? device? [5 points} i 's- (h) In order to detect the field, a roach sends electric charges to its antennae. If the force on the charged antennae 2.l:ll'\" N, how much charge is on them? Treat the antennae charge as a point charge. (5 points}