Question

Problem 7(10%) Two point charges with q 1=4×10⁻⁵ C, located at (2,−3,−4), and q 2 =−4×10⁻⁵ C, located at (−2,−3,2)

(a) Find the electric field E at (0,0,−1), which is created by q₁ and q₂;

Answer 1

To find the electric field at a specific point, we can use the principle of superposition. The electric field at the point due to q₁ and q₂ is the vector sum of the fields due to each charge individually.

Step-by-step explanation:

To find the electric field at a specific point, we can use the principle of superposition. The electric field at the point due to q₁ and q₂ is the vector sum of the fields due to each charge individually.

First, let's find the electric field due to q₁ at the point (0,0,-1). The formula for electric field due to a point charge is E = k * (q/r²), where k is the Coulomb's constant, q is the charge, and r is the distance between the charge and the point. Plugging in the values and using the distance formula, we can calculate the electric field for q₁.

Next, let's find the electric field due to q₂ at the same point. Using the same formula, we can calculate the electric field for q₂.

Finally, we add the two electric fields together to find the resultant electric field at the point (0,0,-1).