Final answer:
The question pertains to calculating electric fields at two points due to point charges, where E1 is twice as large as E2, and the resultant field can be found using vector addition and the Pythagorean theorem.
Step-by-step explanation:
The student is asking about estimating electric fields at two different points due to point charges. The electric field (E1) at point 1 due to a positive charge +q is calculated using Coulomb's Law, which gives us the electric field strength at a distance from a point charge.
Similarly, at point 2, we calculate another electric field (E2) due to a different charge configuration. If we have the values of electric fields at both points, we can represent them with vectors and determine the resultant field at any point by vector addition. Specifically, if we have a right triangle formed by these vectors, we can use the Pythagorean theorem to find the magnitude of the total electric field.
As an example, given E1 is twice the magnitude of E2, we see that the total field Etot can be represented by two arrows, with the arrow for E1 being twice as long as that for E2.