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Question

Find the magnitude of electric field (in N/C) due to a line charge of λ=(22) nC/m at a point P as shown
1021832_24798b7425de46759a8eb7e3dff2b5ef.png

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Solution

λ=(22)nC/m
Electric field at a point in front of a finite linear charged body is
=kλa(sinα+sinβ)(ˆj)+kλa(cosα+cosβ)(ˆi)

Ep=9×109×2212(12151220)(ˆi)+9×109×2212(9151620)(ˆj)

Ep=9×109×22×512(ˆi)+9×109×2212×42015×20

Ep=4.242×108(ˆi)+29.694×108(ˆj)

(Ep)net=29.995×108N/C

1149436_1021832_ans_7e83757b6fb544ffad962fecdb589d5b.png

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