Consider two z-directed hertzian dipoles spaced a distance d apart along the x-axis. the right dipole is driven at a magnitude and phase difference ae with respect to the left. sketch the normalized radiation pattern (or use matlab! ) in the x-y planes for the following cases: (a) d-ad 1 (b)d-/2. ad-1 (c) d-2, ad in which direction() is the gain maximum for each case? partial solution: (a) maxima: 60°, 120. minima: 0, 90", 180 (b) maxima: 109.5. minima: 48.2 (c) maxima: 29.0, 68.0°,97.2, 128.7 minima: 51.3, 82.s". 112, 151

Rosa records the distance that a toy car rolls and the time it takes to cover the distance. what scientific practice is this? collecting data asking a question providing explanations communicating results

Brutus, the dog, is pulling a bone to the left with a force of 20 n. lassie, another dog, is pulling a bone to the right with a force of 18n. what is the net force? a. b. c.

Amass attached to a spring is displaced from its equilibrium position by 5cm and released. the system then oscillates in simple harmonic motion with a period of 1s. if that same mass–spring system is displaced from equilibrium by 10cm instead, what will its period be in this case? a mass attached to a spring is displaced from its equilibrium position by and released. the system then oscillates in simple harmonic motion with a period of . if that same mass–spring system is displaced from equilibrium by instead, what will its period be in this case? a) 0.5sb) 2sc) 1sd) 1.4s