Need of small charge in definition of electric field?

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SUMMARY

The definition of the electric field requires the use of an infinitesimally small charge to ensure that the test charge does not influence the surrounding charge distribution. The force experienced by the test charge remains constant regardless of its magnitude, as the force per unit charge (F/q) is independent of the test charge value. Utilizing a larger charge would alter the electric field due to its interaction with other charges, thus invalidating the measurement of the field at that point.

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  • Concept of limit in calculus
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Raj Batra
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Why do we need infinitesimally small charge in definition of electric field? Since the test charge cannot exert force on itself, F on test charge will not change whatever the value of test charge q is. So, F/q will be same for any value of test charge. Then why do we need this limit of infinitesimally small charge?
 
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A larger charge will influence the charge distribution in the environment, and therefore the field at its position.
 

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