Question

use the results of part (a) to obtain the resultant field at p , expressed in unit vector form. express your answer in newtons per coulomb in terms of the unit vectors i^ , j^ .

Answer 1

The resultant electric field at point P is calculated by summing individual electric fields produced by charges in unit vector form, resulting in a new vector that represents the total electric field at P in N/C.

Step-by-step explanation:

To obtain the resultant field at point P, we use the principle of superposition, which involves adding the individual electric fields produced by each charge independently. The electric field (E) is expressed in newtons per coulomb (N/C), which is synonymous with volts per meter (V/m). If the individual fields at point P due to multiple charges are given in i and j unit vector notation, you sum these vectors to find the total electric field vector at P.

For instance, if we had two electric fields due to two charges, E1 and E2, and these are given by E1 = E1_ii + E1_jj and E2 = E2_ii + E2_jj, to find the resultant electric field at P, we would add them to get E = (E1_i + E2_i)i + (E1_j + E2_j)j. This final vector provides the direction and magnitude of the electric field at point P in unit vector form.