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(a) Use Gauss's law to derive the expre...

(a) Use Gauss's law to derive the expression for the electric filed `(vecE)` due to straight uniformaly charges infinite line of charges density `lambda C//m`.
(b) Draw a graph to show the variation of E with perpendicular from the line of charge.
(c) Find the work done in brining a charge q from prependicular distance `r_(1)` to `r_(2) (r_(2) gt r_(1))`.

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### Step-by-Step Solution **(a) Deriving the Electric Field (E) Due to an Infinite Line of Charge Using Gauss's Law** 1. **Understanding the Setup**: - Consider an infinite line of charge with a uniform linear charge density \( \lambda \) (C/m). - We want to find the electric field \( \vec{E} \) at a distance \( r \) from the line of charge. ...
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