Question

Given the electric field: E = R²/R₂² * 18/R² (V/m), find the electric potential of point A with respect to point B where A is at +2 m and B at -4 m, both on the z axis.

Answer 1

To find the electric potential of point A with respect to point B, we need to integrate the electric field equation over the path between the two points. By substituting the given equation for E into the integral and evaluating the integral, we can find the electric potential of point A with respect to point B.

Step-by-step explanation:

To find the electric potential of point A with respect to point B, we need to integrate the electric field equation over the path between the two points. Given the electric field equation E = R²/R₂² * 18/R² (V/m), we can integrate this equation to find the potential difference V between A and B.

Assuming A is at +2m and B is at -4m, both on the z-axis, we can set up the integral as follows:

V = -∫(E·ds) where the limits of integration are from -4 to +2.

By substituting the given equation for E into the integral and evaluating the integral, we can find the electric potential of point A with respect to point B.