Note that the electric field E due to Q though defined operationally in terms of...

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Note that the electric field E due to Q though defined operationally in terms of some test charge q is independent of q This is because F is proportional to q so the ratio F q does not depend on q The force F on the charge q due to the charge Q depends on the particular location of charge q which may take any value in the space around the charge Q Thus the electric field E due to Q is also dependent on the space coordinate r For different positions of the charge q all over the space we get different values of electric field E The field exists at every point in three dimensional space

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