ch24-p040 - 40. (a) Consider an infinitesimal segment of...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
40. (a) Consider an infinitesimal segment of the rod from x to x + dx . Its contribution to the potential at point P 2 is dV xdx xy cx dx = + = + 1 4 1 4 0 22 0 ππ ε λ () . Thus, ( ) ( ) rod 0 00 92 2 1 2 2 2 2 2 44 (8.99 10 N m C )(49.9 10 C/m ) (0.100 m) (0.0356 m) 0.0356 m 3.16 10 V. L P cx c Vd V d x L y y εε == = + + =×⋅ × + ∫∫ (b) The y component of the field there is ( ) 2 1 2 2 1. 0.0356 m ( 8 . 9 91 0Nm C) ( 4 9 . 0 C /m)1 (0.100 m) (0.0356 m) 0.298 N/C. P y Vc d c y EL y y yd y Ly ⎛⎞ ⎜⎟ =− + = + ⎝⎠ × + = (c) We obtained above the value of the potential at any point
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online