10 Electric FieldsP23.20(a)Ek qre==××=−29628 99102 00101 1214 400...ejejafN CEx=0andEy=°=×2 14 40026 61 29104bgsin..N CsoEj=×1 29104.±N C.FIG. P23.20(b)FEjj== −××=−×−−q3 00101 29103 8610642..±.±ejejNP23.21(a)Errriijj=++=+°+° +k qrk qrk qrkqakqakqaeeeeee11212222332322223245 045 04±±±±±cos.±sin.±b gb gejb gEij=+=°3 065 065 91222.±.±.k qak qak qaeeeat 58.8(b)FE==°qk qae5 9122.at 58.8P23.22The electric field at any point xisEk qxak qxak qaxxaeee=−−− −=−afa fchafej222224.When xis much, much greater than a, we find Ea k qxe≅43bg.P23.23(a)One of the charges creates at Pa field E=+k Q nRxe22at an angle θtothe x-axis as shown.When all the charges produce field, for n>1, the componentsperpendicular to the x-axis add to zero.The total field is nkQ nRxk QxRxeebge
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