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The cyan line is a line charge of length 24 (assume uniform linear charge density of A C/m). The small red line represents a differential
The cyan line is a line charge of length 24 (assume uniform linear charge density of A C/m). The small red line represents a differential charge dq on the conductor. Points Pi and P2 are field points at which we would like to know the field and potential. Point Pi lies on a circle of radius 3, on the x - y plane and point P2 lies on a circle of radius 32 on the r - y plane. (a) Use eqn. (23) in posted Chapter 4 notes to derive the potentials at Pi and P2, VP, and VP. (b) Calculate the potential difference, VP, - Vp, as L - co, for some fixed &, and By. (c) Using your results in part (a), derive the fields at P, and P2, Ep, and EP. az dq E B2 B1 P2 ax Figure 2: Figure for Problem 2. Vp = dq. (since ) = 71 ' ; compare with eqn. 7) (23)
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