ECE106 Lecture Notes - Lecture 37: Conservative Force, Nucleolus, Charge Density
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So, the work we have done to bring q to +r is given by qq . Change in potential is negative of the work done by a conservative force. If both q and q are either positive or negative it acts like a compressed spring. If one of q or q is positive or negative u is a negative value like a stretched spring. In this case, we can add the work done by considering one charge at a time. U is a positive value the force is attractive it acts the force is repulsive. Assume that only q1 exists and we bring q2 to its position. In this case, work has to be done to move q3 against the force from q1 and q2. Thus, the total potential energy will be (based on pair-wise addition): This is obvious since energy is a scalar quantity. Energy stored in a uniformly charged sphere e. g. a nucleolus.