CBSE Class 12-science Answered
Prove that work done by an electric field in path independent
Asked by elizabethcordilia1997 | 04 Apr, 2019, 09:07: PM
Expert Answer
Potential energy Va at a point a in electric field is defined as the workdone to bring a unit positive charge from infinity to that point
Va = 
............................(1)
............................(1)Similarly Potential energy Vb at a point b is given by, Vb = 
.......................(2)
.......................(2)Hence potential difference between a and b is obtained by finding the difference of eqn(1) and eqn.(2),
Va - Vb = 
.............................(3)
.............................(3)RHS of eqn.(3) is workdone to move a unit positive charge from point a to point b in electric field.
LHS of eqn.(3) is potential energy difference.
Hence from eqn.(3), we conclude, workdone to move a positive charge from a point to another point in electric field
is only the potential energy difference between those points and independent of path of moving
Answered by Thiyagarajan K | 05 Apr, 2019, 11:02: AM
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