An infinitely long wire is kept along z-axis from z=-∞ to z=+∞ having uniform near charge density 109nC/m. The electric field at point (6 cm, 8 cm, 10 cm) will be
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a
(120i^+160j^+200k^)V/m
b
200k^V/m
c
(160i^+120j^)V/m
d
(120i^+160j^)V/m
answer is D.
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Detailed Solution
E=λ2πε0d=2Kλd=2×9×109×(10/9)×10−910×10−2=200V/mAs field is radially out, there is no component of it in z direction.E→=200cos53∘i^+200sin53∘j^V/m=200×35i^+200×45j^=(120i^+160j^)V/m