Six point charges are kept 60^ apart from each other on the circumference of a circle of radius R as shown in figure. The net electric field at the center of the circle is _ _ _ _ . ( ₀ is permittivity of free space)

Step-by-step solution

Six point charges equally spaced 60° apart on a circle of radius R, with alternating arrangement creating a dipole-like configuration. Each charge creates an electric field at the center of magnitude E₀ = Q 4 ₀R^2 pointing radially (outward for +Q, inward for -Q). By vector addition of field contributions from all six charges with proper angle consideration: The charges at specific positions create a net field with components that depend on their arrangement. For the given symmetric configuration, the net electric