Thursday 4 April 2013

Electric Field due to Continuous Charge Distributions

Electric Field due to Continuous Charge Distributions

The electric field at a point P due to each charge element dq is given by Coulomb's law



where r is the distance from dq to P and  is the corresponding unit vector. Here, dq =   dV or  dA or  dl depending on charge distribution. Using the superposition principle, the total electric field  is the vector sum (integral) of all these infinitesimal contributions



Note: This is an example of a vector integral which consists of three separate integrations, one for each component of the electric field

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