Identical Point Charges - General Physics - Solved Exam, Exams of Physics

Download Identical Point Charges - General Physics - Solved Exam and more Exams Physics in PDF only on Docsity!

PROBLEM (1) (25 points) “ Two identical point charges +q are located along the y-axis at y = + d. A uniformly charged rod with charge density A (C/m) lies along the x-axis, ftom x = @ to x= a+ L, as shown in the figure. Give your enswers in terms of the given quantites and draw a box around your answer. (a) Calculate the electric field E (cnagnitude and direction) produced by the point charges at any point +> 0 on the x-axis. Consider pant P with coordinate (x, 0), The field E, due to +9 at (ord) has magi tude. E, given \ 4 x La. 4 4 Ei Gt Fi 8 ae Gy GR Ve, re” HR Ged 2 iE “ ‘ 1 = € = Sima lowly» fe tee otmer pomt change E 2% © ang (zh e ey = E, . > _ aK t the véwuttawk field at P is © aang cee > *” E = (fytky dt + EytEuy) (b) Calculate the force F (magnitude and direction) that the poiat charges exert on the rod. Contider a charge, eentak dq = dda ofteerod. fr this Chunpat the fovee is AF = Etaida = Ecay ada, The force, tak The, porrt clawges exert onthe od oy Fe df - qa mde = aA dx ‘ =ated* J J ane, Gey te eer —» Leh's put uctn in. » Oe oon WD faye? fatuPeat aa du TX fray (yMayh = weet t Ge She ae 1) fahaul > pat, ut ataa™ t A 4 t 4 _a4n 4 ae 4 la gmat = Tae 17 ae ~~? Rite, Lota" (eas aeee Phys 106 Firse Micherm Page 3/6 Ape. 15, 2000