The electric potential at a distance z from an electrically charged disk of radius R was given
Question:
The electric potential at a distance z from an electrically charged disk of radius R was given as
where k1 is a constant.
(a) Suppose z is much larger than R. By writing
as
and using the Taylor polynomial of degree 1 for √1 + x, show that the potential can be approximated by
the result given in the Extended Application, where k2 is a constant.
(b) Suppose z is much smaller than R. By writingas
and using the Taylor polynomial of degree 1 for √1 + x, show that the potential can be approximated by
the result given in the Extended Application.
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