The value of E at P( = 2, = 40, z = 3) is given as E = 100a 200a +

The value of E at P(ρ = 2, ϕ = 40◦, z = 3) is given as E = 100a_ρ − 200a_ϕ + 300a_z V/m. Determine the incremental work required to move a 20 μC charge a distance of 6μm:

(a) In the direction of a_ρ;

(b) In the direction of a_ϕ;

(c) In the direction of a_z;

(d) In the direction of E;

(e) In the direction of G = 2a_x − 3a_y + 4a_z.