6. A line charge with uniform charge density A lies on the x-axis from x =...

Transcribed Image Text:

6. A line charge with uniform charge density A lies on the x-axis from x = -L to x = 0: x= -L P P2 I a) Determine the electric field a distance y above the right end of the line charge (point P) and a distance r to the right of the line charge (point P2). b) In lecture you saw the electric field of an infinite line charge. Here we'll consider a "half-infinite" or "semi-infinite" line charge. Let the left end of the line charge extend to infinity (L ) but the right end remains at x = 0. In this limit what happens to your answers to part a)? c) Use your answer to part b) for the point P (you can ignore your answer for P2 here) and superposition to derive the electric field for a fully infinite line charge (a line charge extending from x to r ). 6. A line charge with uniform charge density A lies on the x-axis from x = -L to x = 0: x= -L P P2 I a) Determine the electric field a distance y above the right end of the line charge (point P) and a distance r to the right of the line charge (point P2). b) In lecture you saw the electric field of an infinite line charge. Here we'll consider a "half-infinite" or "semi-infinite" line charge. Let the left end of the line charge extend to infinity (L ) but the right end remains at x = 0. In this limit what happens to your answers to part a)? c) Use your answer to part b) for the point P (you can ignore your answer for P2 here) and superposition to derive the electric field for a fully infinite line charge (a line charge extending from x to r ).