(i) Calculate the work required to assemble each of the
systems of charges
(which is same as
a -q
+q a tq
the electrostatic
a a?
potential energy
of the system)
shown
-q
+q
-q -9
(a)
(a) and (b). (ii) A
(b)
charge qo is brought from infinity to the centre of the
square, the four charges being held fixed at its corners.
How much extra work is needed to do this?
in
Fig.
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Explanation:
Dear Student,
Please find below the solution to the asked query:
(a)Work done=PEPE=14πεoq1q2r12Work done:W=0+−14πεoq2a+[−14πεoq2a+14πεoq2a2√]+[−14πεoq2a+−14πεoq2a2√+14πεoq2a2√]=−44πεoq2a+24πεoq2a2√=14πεoq2a[2√−4](b)Potential at the centre of square: V=0So, work done, W=qo V=qo ×0=0
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