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WHILE DERIVING THE FORMULA FOR THE POTENTIAL ENERGY AT A POINT DUE TO POINT CHARGE
WE MULTIPLY THE FORCE ON THE TEST CHARGE DUE TO THE POINT CHARGE(AT THE INITIAL POSITION)WITH A SMALL DISTANCE dR AND THEN INTEGRATE IT TO FIND THE TOTAL POTENTIAL ENERGY.wHY DO WE TAKE THE SAME INITIAL FORCE ON THE PARTICLE WHEN WE KNOW THAT AT A DIFFERENT POSITION THE FORCE WILL BE DIFFERENT?(INFACT FORCE WILL DIFFER EVEN WITH A SMALL DISPLACEMENT)
Dear anshuman
force is not constant .
we are taking F=q1q2/4∏ε r
force is dependent on r
if we perform intigration then for different value of limit r is different and thus force is different.
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