Question 59 of 311
Six point charges are kept apart from each other on the circumference of a circle of radius as shown in figure. The net electric field at the center of the circle is . ( is permittivity of free space)
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Answer: (D)
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 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 field is:
This corresponds to magnitude at angle of from the positive x-axis.
Each charge creates an electric field at the center of magnitude 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 field is:
This corresponds to magnitude at angle of from the positive x-axis.
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