More Field Intuition Let's ask the question: is there anywhere the total electric field from these two charges is zero? The field from a single charge is only zero "at infinity" (which isn't a place). So, if the total field is zero, it means fields from the charges add (as vectors) to give zero. Thus, if there is anywhere that the total E field is zero, it would have to be somewhere along the light green line, below. Explain why: On the figure, draw arrows to represent the direction of the fields from each charge in 3 different regions on the green line. Region 1: left of both charges Region 2: in between the charges Region 3: to the right of both charges. The arrows do not have to represent the . ador electric field (so the lengths don't matter.) I just want you to mark the field direction. Also, since you need to draw 2 arrows for each region, you can offset one of the arrows up or down slightly to make your sketch clearer, if you need to. In which region is it possible for the field vectors to add to zero? With Q at x=0 cm and 4Q at x=20 cm, write down expressions for the magnitude of the field from each charge at a point x in between the charges, and set the magnitudes equal. Solve for x. (You will need to use the quadratic formula.) x = _ Check that your answer makes sense, qualitatively. Here's how. If the fields from the charges are to be equal, do you need to be closer to the smaller charge, or closer to the bigger charge? Does your answer agree? You can go even farther with checking your answer, thinking with proportions. From your solution for x, find the ratio of the distance to Q, to the distance to 4