Worksheet for Exploration 32.1: Representation of Plane Waves Move the slider and observe the animation on the left-hand panel of your screen. The animation shows the electric field in a region of space. The arrows show the field-vector representation of the electric field. The amplitude of the field is represented by the brightness of the arrows. The slider allows you to move along the z axis. Notice that the electric field is always uniform in the xy plane but varies along the z axis (position is given in meters and time in given in nanoseconds). Restart a. Construct a graph that represents the electric field along the z axis att = 0 ns. E (m) -2.0 -1.0 0 1.0 2.0 Now view a representation of the electric field. Click-drag inside the animation on the right to view the electric-field representation from different points of view. This representation should closely match the graph you drew for part (a). Click on play to see a traveling wave. The representation on the right is often used to show a field like that on the left. Remember that the representation on the right is actually a graph of amplitude along the direction of propagation (z axis)- b. Keeping that in mind and looking at the graph on the right, rank the amplitude of the field at t = 0 ns for the following locations, from smallest to largest. Location x coordinate y coordinate z coordinate D -1.5 -1.5 -1.5 -1.0 1 1 -0.5 Ranking =Justify your ranking. i. Consider the following statements made by two students. Student One - "The field at Location II is zero because the graph on the right does not show a field along the y-axis." Student Two - "The field at Location Il is not zero and is equal to the field at Location I because the window on the left shows that the field is uniform along the xy plane." Which student is correct? How would you explain to the other student why his/her statement is incorrect? C. Now, push "play" to see the traveling wave. At position z = -0.5 m, rank the amplitude of the field at the following times (approximately). from smallest to largest. Time (ns) x coordinate y coordinate z coordinate 1 = 0 -0.5 t = 1.7 -0.5 t = 3.3 -0.5 t = 5.0 1 -0.5 t = 6.7 1 0.5 Ranking =Justify your ranking. d. What is the wavelength (distance between peaks) of the wave? e. What is the frequency of the wave (the period T = 1/f is the time it takes for the wave to repeat itself at a given location)? f. What is the speed of the wave