Two-point charge of 100 μC and -4 μC are positioned at points (-2√3, 3√3, -4) and (4√3, -5√3, 6) respectively of a Cartesian coordinate system. Find the force vector on the -4 μC charge? All the coordinates are in meters.
Options

Question

Two-point charge of 100 μC and -4 μC are positioned at points (-2√3, 3√3, -4) and (4√3, -5√3, 6) respectively of a Cartesian coordinate system. Find the force vector on the -4 μC charge? All the coordinates are in meters.

Options

G1 Physics · Accepted Answer

Step 1: Form the displacement vector 𝐫 = 𝐫₂ - 𝐫₁ and its magnitude r. Step 2: Coulomb's vector law is 𝐅 = [1/(4πε₀)](q₁q₂/r³) 𝐫. The sign of q₁q₂ fixes whether the force is along or opposite 𝐫. Step 3: Substitute the given coordinates/charges and reduce the components. Final: B: 9 × 10⁻⁴(-3√3𝐢 + 4√3𝐣 -5𝐤).