What is the electric field at a location vector b m due to
What is the electric field at a location vector b = <-0.4, -0.1, 0> m, due to a particle with charge +4 nC located at the origin?
Solution
Here ,
for the vector b
b = -0.4 i - 0.1 j
|b| = sqrt(0.4^2 + 0.1^2) = 0.412 m
Now , for the electric field
E = k * q * b/|b|^3
E = 9 *10^9 * 4 *10^-9 * ( -0.4 i - 0.1 j )/0.412^3
E = 513 * ( -0.4 i - 0.1 j ) N/C
E = -205.44 i - 51.36 j
the electric field at this point is (-205.44 i - 51.36 j ) N/C
